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Computational Mechanics of Structures and Materials

A special issue of Materials (ISSN 1996-1944). This special issue belongs to the section "Materials Simulation and Design".

Deadline for manuscript submissions: closed (20 March 2023) | Viewed by 31574

Printed Edition Available!
A printed edition of this Special Issue is available here.

Special Issue Editors

Dr. Michele Bacciocchi

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Guest Editor
Dipartimento di Economia, Scienze e Diritto (DESD), University of San Marino, Via Consiglio dei Sessanta, 47891 Dogana, San Marino
Interests: finite element methods; structural mechanics; plates and beams; numerical analysis; laminated composites; multiphase composites; innovative composite materials; functionally graded materials; carbon nanotubes; non-local theories
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Angelo Marcello Tarantino

E-Mail Website
Guest Editor
University of Modena and Reggio Emilia, via P. Vivarelli 10, 41125 Modena, Italy
Interests: viscoelasticity; fracture mechanics and dynamic propagation of cracks; bifurcation theory, nonlinear dynamics, and chaos; piezoelasticity and magnetoelasticity; contact problems; equilibrium, bifurcation, and stability in finite elasticity; fiber-reinforced concretes and earthquake engineering
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Raimondo Luciano

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Guest Editor
Engineering Department, University of Napoli Parthenope, Via Ammiraglio Ferdinando Acton, 80133 Napoli, Italy
Interests: computational mechanics of structures and of materials and specifically unilateral problems; computational analysis of masonry structures; computational mechanics of composite materials; finite element method; computational micromechanics; nonlinear and non-local theories
Special Issues, Collections and Topics in MDPI journals
Prof. Dr. Carmelo Majorana

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Guest Editor
Department of Civil, Environmental and Architectural Engineering (DICEA), University of Padova, Via F. Marzolo, 35131 Padova, Italy
Interests: dynamic stability of structural systems; thermo-hydro-mechanical constitutive behavior of cementitious materials at high temperatures; coupled multi-physics formulations for multi-phase, porous media in unsaturated regime; high-performance concrete characterization and modeling; large strain formulation; plasticity of building materials
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The huge number of recently published research papers on computational and numerical methods for solving various structural problems proves that this topic has great potential, and the further advancements that can be accomplished are still numerous.

Following this preliminary statement, the main aim of this Special Issue is to collect innovative investigations dealing with accurate, reliable, and effective numerical approaches in the field of both structural mechanics and mechanics of materials.

Numerical analysis focused on the development of finite element or finite-element-based methods for innovative problems is welcomed. Likewise, different computational techniques involving the solution of both strong and weak formulations for those problems that require the development of numerical methods to get approximate but accurate solutions are gladly accepted.

In any circumstance, authors are strongly invited to emphasize the novelty of their approaches, highlighting the improvements with respect to the existing literature. The proposed numerical tools and analyses must be validated. Their accuracy shall be discussed as well. Much attention will also be dedicated to the numerical investigations of advanced and innovative materials, as well as multiscale analyses, employed in many engineering fields, such as civil, mechanical, and aerospace engineering.

The topics of interest include but are not limited to:

  • Development of numerical techniques for structures and materials;
  • Numerical analyses;
  • Finite element and finite-element-based methods;
  • Computational methods for beams, plates, and shells;
  • Numerical studies of laminates and functionally graded materials;
  • Numerical analyses of advanced and innovative composite materials;
  • Numerical approaches for the mechanical analysis of nanostructures;
  • Nonlocal elasticity;
  • Numerical studies in finite elasticity;
  • FEM applications for elasticity problems;
  • Linear and nonlinear behaviors of structures;
  • Mechanical characterization of innovative constituents;
  • Validation of experimental procedures and constitutive laws.

Dr. Michele Bacciocchi
Prof. Dr. Angelo Marcello Tarantino
Prof. Dr. Raimondo Luciano
Prof. Dr. Carmelo Majorana
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Materials is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • computational mechanics
  • numerical methods
  • advanced and innovative constituents
  • solids mechanics
  • structural analyses
  • FE and FE-based methods

Published Papers (20 papers)

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Editorial

Jump to: Research

4 pages, 174 KiB  
Editorial
Special Issue: “Computational Mechanics of Structures and Materials”
by Michele Bacciocchi, Angelo Marcello Tarantino, Raimondo Luciano and Carmelo Majorana
Materials 2023, 16(16), 5617; https://0-doi-org.brum.beds.ac.uk/10.3390/ma16165617 - 14 Aug 2023
Cited by 1 | Viewed by 574
Abstract
Computational methods have always affected many engineering fields due to their enormous potential and ability to facilitate various tasks [...] Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)

Research

Jump to: Editorial

21 pages, 3849 KiB  
Article
A FEM Free Vibration Analysis of Variable Stiffness Composite Plates through Hierarchical Modeling
by Gaetano Giunta, Domenico Andrea Iannotta and Marco Montemurro
Materials 2023, 16(13), 4643; https://0-doi-org.brum.beds.ac.uk/10.3390/ma16134643 - 27 Jun 2023
Cited by 3 | Viewed by 819
Abstract
Variable Angle Tow (VAT) laminates offer a promising alternative to classical straight-fiber composites in terms of design and performance. However, analyzing these structures can be more complex due to the introduction of new design variables. Carrera’s unified formulation (CUF) has been successful in [...] Read more.
Variable Angle Tow (VAT) laminates offer a promising alternative to classical straight-fiber composites in terms of design and performance. However, analyzing these structures can be more complex due to the introduction of new design variables. Carrera’s unified formulation (CUF) has been successful in previous works for buckling, vibrational, and stress analysis of VAT plates. Typically, one-dimensional (1D) and two-dimensional (2D) CUF models are used, with a linear law describing the fiber orientation variation in the main plane of the structure. The objective of this article is to expand the CUF 2D plate finite elements family to perform free vibration analysis of composite laminated plate structures with curvilinear fibers. The primary contribution is the application of Reissner’s mixed variational theorem (RMVT) to a CUF finite element model. The principle of virtual displacements (PVD) and RMVT are both used as variational statements for the study of monolayer and multilayer VAT plate dynamic behavior. The proposed approach is compared to Abaqus three-dimensional (3D) reference solutions, classical theories and literature results to investigate the effectiveness of the developed models. The results demonstrate that mixed theories provide the best approximation of the reference solution in all cases. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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11 pages, 2308 KiB  
Article
Diffusion and Interdiffusion Study at Al- and O-Terminated Al2O3/AlSi12 Interface Using Molecular Dynamics Simulations
by Masoud Tahani, Eligiusz Postek and Tomasz Sadowski
Materials 2023, 16(12), 4324; https://0-doi-org.brum.beds.ac.uk/10.3390/ma16124324 - 12 Jun 2023
Cited by 3 | Viewed by 1130
Abstract
The equivalent characteristics of the materials’ interfaces are known to impact the overall mechanical properties of ceramic–metal composites significantly. One technological method that has been suggested is raising the temperature of the liquid metal to improve the weak wettability of ceramic particles with [...] Read more.
The equivalent characteristics of the materials’ interfaces are known to impact the overall mechanical properties of ceramic–metal composites significantly. One technological method that has been suggested is raising the temperature of the liquid metal to improve the weak wettability of ceramic particles with liquid metals. Therefore, as the first step, it is necessary to produce the diffusion zone at the interface by heating the system and maintaining it at a preset temperature to develop the cohesive zone model of the interface using mode I and mode II fracture tests. This study uses the molecular dynamics method to study the interdiffusion at the interface of α-Al2O3/AlSi12. The hexagonal crystal structure of aluminum oxide with the Al- and O-terminated interfaces with AlSi12 are considered. A single diffusion couple is used for each system to determine the average main and cross ternary interdiffusion coefficients. In addition, the effect of temperature and the termination type on the interdiffusion coefficients is examined. The results demonstrate that the thickness of the interdiffusion zone is proportional to the annealing temperature and time, and Al- and O-terminated interfaces exhibit similar interdiffusion properties. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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33 pages, 211163 KiB  
Article
Ballistic Impacts with Bullet Splash—Load History Estimation for .308 Bullets vs. Hard Steel Targets
by Riccardo Andreotti, Andrea Casaroli, Ivan Colamartino, Mauro Quercia, Marco Virginio Boniardi and Filippo Berto
Materials 2023, 16(11), 3990; https://0-doi-org.brum.beds.ac.uk/10.3390/ma16113990 - 26 May 2023
Cited by 1 | Viewed by 2052
Abstract
The study focuses on testing a simplified way of estimating the resultant force due to ballistic impacts resulting in a full fragmentation of the impactor with no penetration of the target. The method is intended to be useful for the parsimonious structural assessment [...] Read more.
The study focuses on testing a simplified way of estimating the resultant force due to ballistic impacts resulting in a full fragmentation of the impactor with no penetration of the target. The method is intended to be useful for the parsimonious structural assessment of military aircrafts with integrated ballistic protection systems by means of large scale explicit finite element simulations. The research investigates the effectiveness of the method in allowing the prediction of the fields of plastic deformation collected by hard steel plates impacted by a wide range of semi-jacketed, monolithic, and full metal jacket .308 Winchester rifle bullets. The outcomes show the effectiveness of the method being strictly related to the full compliance of the considered cases with the bullet-splash hypotheses. The study therefore suggests the application of the load history approach only after careful experimental investigations on the specific impactor–target interactions. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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15 pages, 10951 KiB  
Article
Research on the Spring Creep Based on the Load Simulator of the Double Torsion Spring Steering Gear
by Bo Zhang, Peijie Ren, Zhuo Wang and Hongwen Ma
Materials 2023, 16(10), 3763; https://0-doi-org.brum.beds.ac.uk/10.3390/ma16103763 - 16 May 2023
Cited by 1 | Viewed by 1255
Abstract
In this paper, creep at room temperature is studied using a mechanical double−spring steering−gear load table, and the results are used to determine the accuracy of theoretical and simulated data. A creep equation at room temperature, based on the parameters obtained by a [...] Read more.
In this paper, creep at room temperature is studied using a mechanical double−spring steering−gear load table, and the results are used to determine the accuracy of theoretical and simulated data. A creep equation at room temperature, based on the parameters obtained by a new macroscopic tensile experiment method, is used to analyze the creep strain and creep angle of a spring under force. The correctness of the theoretical analysis is verified by a finite−element method. Finally, a creep strain experiment of a torsion spring is carried out. The experimental results are 4.3% lower than the theoretical calculation results, which demonstrates the accuracy of the measurement, with an error of <5% achieved. The results shows that the equation used for the theoretical calculation is highly accurate and can meet the requirements of engineering measurement. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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32 pages, 978 KiB  
Article
Nonlinear Finite Element Model for Bending Analysis of Functionally-Graded Porous Circular/Annular Micro-Plates under Thermomechanical Loads Using Quasi-3D Reddy Third-Order Plate Theory
by Jinseok Kim, Enrique Nava and Semsi Rakici
Materials 2023, 16(9), 3505; https://0-doi-org.brum.beds.ac.uk/10.3390/ma16093505 - 02 May 2023
Cited by 2 | Viewed by 1349
Abstract
A nonlinear finite element model for axisymmetric bending of micro circular/annular plates under thermal and mechanical loading was developed using quasi-3D Reddy third-order shear deformation theory. The developed finite element model accounts for a variation of material constituents utilizing a power-law distribution of [...] Read more.
A nonlinear finite element model for axisymmetric bending of micro circular/annular plates under thermal and mechanical loading was developed using quasi-3D Reddy third-order shear deformation theory. The developed finite element model accounts for a variation of material constituents utilizing a power-law distribution of a two-constituent material, three different porosity distributions through plate thickness, and geometrical nonlinearity. The modified couple stress theory was utilized to account for the strain gradient effects using a single material length scale parameter. Three different types of porosity distributions that have the same overall volume fraction but different enhanced areas were considered as a form of cosine functions. The effects of the material and porosity distribution, microstructure-dependency, the geometric nonlinearity, and various boundary conditions on the bending response of functionally-graded porous axisymmetric microplates under thermomechanical loads were studied using the developed nonlinear finite element model. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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19 pages, 2751 KiB  
Article
A Numerical Study of Crack Mixed Mode Model in Concrete Material Subjected to Cyclic Loading
by Omar Alrayes, Carsten Könke and Khader M. Hamdia
Materials 2023, 16(5), 1916; https://0-doi-org.brum.beds.ac.uk/10.3390/ma16051916 - 25 Feb 2023
Cited by 7 | Viewed by 1368
Abstract
In quasi-brittle materials such as concrete, numerical methods are frequently used to simulate the crack propagation for monotonic loading. However, further research and action are required to better understand the fracture properties under cyclic loading. For this purpose, in this study, we present [...] Read more.
In quasi-brittle materials such as concrete, numerical methods are frequently used to simulate the crack propagation for monotonic loading. However, further research and action are required to better understand the fracture properties under cyclic loading. For this purpose, in this study, we present numerical simulations of mixed-mode crack propagation in concrete using the scaled boundary finite element method (SBFEM). The crack propagation is developed based on a cohesive crack approach combined with the thermodynamic framework of a constitutive concrete model. For validation, two benchmark crack-mode examples are modelled under monotonic and cyclic loading conditions. The numerical results are compared against the results from available publications. Our approach revealed good consistency compared to the test measurements from the literature. The damage accumulation parameter was the most influential variable on the load-displacement results. The proposed method can provide a further investigation of crack growth propagation and damage accumulation for cyclic loading within the SBFEM framework. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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14 pages, 5234 KiB  
Article
Investigation on Performance of Hydraulically Expanded Joint of Titanium–Steel Clad Tubesheet
by Jia Li, Juan Li, Yuyan Zhang and Changyu Zhou
Materials 2023, 16(3), 1106; https://0-doi-org.brum.beds.ac.uk/10.3390/ma16031106 - 27 Jan 2023
Cited by 1 | Viewed by 1077
Abstract
The performance of a hydraulically expanded joint between tubesheet and titanium tube was analyzed using a finite element numerical calculation. The connection strength of Q345R tubesheet and TA2-Q345R clad tubesheet was studied using a tight expansion method. The results proved that the residual [...] Read more.
The performance of a hydraulically expanded joint between tubesheet and titanium tube was analyzed using a finite element numerical calculation. The connection strength of Q345R tubesheet and TA2-Q345R clad tubesheet was studied using a tight expansion method. The results proved that the residual contact pressure and pullout force of the tight expansion joint of TA2-Q345R clad tubesheet were greater than those of the Q345R tubesheet. However, the residual contact pressure of the expanded joint without a groove for the TA2-Q345R tubesheet and the pullout force failed to meet the requirement of connection strength. Hence, the groove was employed on the contact surface. The influences of groove position and groove width on the connection strength of the expanded joint with grooves in tubesheet hole were studied. The results show that the residual contact pressure of the clad tubesheet of grooving in the cladding layer was higher than that of grooving in the base layer. The effect of the position of groove in the cladding layer and base layer on the residual contact pressure could be neglected. A wider groove led to a higher residual contact pressure, which increased significantly when the groove width was 4 mm. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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20 pages, 2710 KiB  
Article
Modeling Cyclic Crack Propagation in Concrete Using the Scaled Boundary Finite Element Method Coupled with the Cumulative Damage-Plasticity Constitutive Law
by Omar Alrayes, Carsten Könke, Ean Tat Ooi and Khader M. Hamdia
Materials 2023, 16(2), 863; https://0-doi-org.brum.beds.ac.uk/10.3390/ma16020863 - 16 Jan 2023
Cited by 13 | Viewed by 2436
Abstract
Many concrete structures, such as bridges and wind turbine towers, fail mostly due to the fatigue rapture and bending, where the cracks are initiated and propagate under cyclic loading. Modeling the fracture process zone (FPZ) is essential to understanding the cracking behavior of [...] Read more.
Many concrete structures, such as bridges and wind turbine towers, fail mostly due to the fatigue rapture and bending, where the cracks are initiated and propagate under cyclic loading. Modeling the fracture process zone (FPZ) is essential to understanding the cracking behavior of heterogeneous, quasi-brittle materials such as concrete under monotonic and cyclic actions. The paper aims to present a numerical modeling approach for simulating crack growth using a scaled boundary finite element model (SBFEM). The cohesive traction law is explored to model the stress field under monotonic and cyclic loading conditions. In doing so, a new constitutive law is applied within the cohesive response. The cyclic damage accumulation during loading and unloading is formulated within the thermodynamic framework of the constitutive concrete model. We consider two common problems of three-point bending of a single-edge-notched concrete beam subjected to different loading conditions to validate the developed method. The simulation results show good agreement with experimental test measurements from the literature. The presented analysis can provide a further understanding of crack growth and damage accumulation within the cohesive response, and the SBFEM makes it possible to identify the fracture behavior of cyclic crack propagation in concrete members. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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21 pages, 4445 KiB  
Article
Microscale Modeling of Frozen Particle Fluid Systems with a Bonded-Particle Model Method
by Tsz Tung Chan, Stefan Heinrich, Jürgen Grabe and Maksym Dosta
Materials 2022, 15(23), 8505; https://0-doi-org.brum.beds.ac.uk/10.3390/ma15238505 - 29 Nov 2022
Cited by 3 | Viewed by 1395
Abstract
An inventive microscale simulation approach is applied to investigate the mechanics of frozen particle fluid systems (PFS). The simulation is based on the discrete element method (DEM) and bonded-particle model (BPM) approach. Discrete particles connected by solid bonds represent frozen agglomerates. Uniaxial compression [...] Read more.
An inventive microscale simulation approach is applied to investigate the mechanics of frozen particle fluid systems (PFS). The simulation is based on the discrete element method (DEM) and bonded-particle model (BPM) approach. Discrete particles connected by solid bonds represent frozen agglomerates. Uniaxial compression experiments were performed to gather data for material modeling and further simulation model validation. Different typical mechanical behavior (brittle, ductile, dilatant) were reviewed regarding strain rates, saturation levels, and particle mechanical or surface properties. Among all these factors, strain rate significantly affects the mechanical behavior and properties of the agglomerates. A new solid bond model considering strain-dependent and time-dependent behavior is developed for describing the rheology of the frozen particle fluid systems. Without alternating Young’s modulus and Poisson’s ratio of the bond material, the developed solid model provides a suitable agreement with the experimental results regarding different strain rates. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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18 pages, 8379 KiB  
Article
Cellular Automaton Mimicking Colliding Bodies for Topology Optimization
by Bogdan Bochenek and Katarzyna Tajs-Zielińska
Materials 2022, 15(22), 8057; https://0-doi-org.brum.beds.ac.uk/10.3390/ma15228057 - 15 Nov 2022
Cited by 4 | Viewed by 972
Abstract
Needs and demands of contemporary engineering stimulate continuous and intensive development of design methods. Topology optimization is a modern approach which has been successfully implemented in a daily engineering design practice. Decades of progress resulted in numerous applications of topology optimization to many [...] Read more.
Needs and demands of contemporary engineering stimulate continuous and intensive development of design methods. Topology optimization is a modern approach which has been successfully implemented in a daily engineering design practice. Decades of progress resulted in numerous applications of topology optimization to many research and engineering fields. Since the design process starts already at the conceptual stage, innovative, efficient, and versatile topology algorithms play a crucial role. In the present study, the concept of the original heuristic topology generator is proposed. The main idea that stands behind this proposal is to take advantage of the colliding bodies phenomenon and to use the governing laws to derive original Cellular Automata rules which can efficiently perform the process of optimal topologies generation. The derived algorithm has been successfully combined with ANSYS, a commercial finite element software package, to illustrate its versatility and to make a step toward engineering applications. Based on the results of the tests performed, it can be concluded that the proposed concept of the automaton mimicking colliding bodies may be an alternative algorithm to other existing topology generators oriented toward engineering applications. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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31 pages, 8683 KiB  
Article
Stochastic Reliability-Based Design Optimization Framework for the Steel Plate Girder with Corrugated Web Subjected to Corrosion
by Damian Sokołowski and Marcin Kamiński
Materials 2022, 15(20), 7170; https://0-doi-org.brum.beds.ac.uk/10.3390/ma15207170 - 14 Oct 2022
Cited by 4 | Viewed by 1058
Abstract
This paper proposes the framework for reliability-based design optimization (RBDO) of structural elements with an example based on the corrugated web I-girder. It tackles the problem of topological optimization of corroding structures with uncertainties. Engineering restrictions follow a concept of the limit states [...] Read more.
This paper proposes the framework for reliability-based design optimization (RBDO) of structural elements with an example based on the corrugated web I-girder. It tackles the problem of topological optimization of corroding structures with uncertainties. Engineering restrictions follow a concept of the limit states (LS) and extend it for stability and eigenfrequency assessment. The reliability constraints include all the LS; they are computed according to first- and second-order reliability methods. The RBDO example minimizes the bridge girder cross-section while satisfying the structural reliability level for the ultimate and the serviceability limit states, stability, and eigenfrequency. It takes into consideration two uncorrelated random effects, i.e., manufacturing imperfection and corrosion. They are both Gaussian; the first of them is applied at assembly time, while the second is applied according to the time series. The example confronts three independent FEM models with an increasing level of detailing, and compares RBDO results for three concurrent probabilistic methods, i.e., the iterative stochastic perturbation technique (ISPT), the semi-analytical method, and the Monte Carlo simulation. This study proves that the RBDO analysis is feasible even for computationally demanding structures, can support automation of structural design, and that the level of detailing in the FEM models influences its results. Finally, it exemplifies that reliability restrictions for LS are much more rigorous than for their deterministic counterparts, and that the fastest ISPT method is sufficiently accurate for probabilistic calculations in this RBDO. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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14 pages, 7931 KiB  
Article
Validation of Alternative Beam T-Junction Fem Models for Complex Tubular Structures
by Francisco Badea, JoseLuis Olazagoitia and JesusAngel Perez
Materials 2022, 15(18), 6468; https://0-doi-org.brum.beds.ac.uk/10.3390/ma15186468 - 17 Sep 2022
Cited by 2 | Viewed by 1286
Abstract
The finite element analysis of tubular structures is typically based on models constructed employing beam-type elements. This modeling technique provides a quick and computationally efficient option for calculation. Nevertheless, it shows a series of limitations related to the simplicity of this type of [...] Read more.
The finite element analysis of tubular structures is typically based on models constructed employing beam-type elements. This modeling technique provides a quick and computationally efficient option for calculation. Nevertheless, it shows a series of limitations related to the simplicity of this type of element, among which the inability of accounting for the stiffness behavior at the joint level is of notable importance when modeling complex tubular structures. Despite these limitations, the alternative of simulating complex tubular structures with shell- or volume-type elements is highly costly due to the complexity of the modeling process and the computational requirements. Previous research has proposed alternative beam models that improve the estimations when modeling these structures. These research validations were limited to simple models. This paper presents a validation process utilizing a previously developed beam T-junction model in a complex tubular structure, intended to be representative for buses’ and coaches’ upper structures. Results obtained reveal that the accuracy of beam element type models can be significantly improved with the adequate implementation of elastic elements to account for the real junction stiffness. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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17 pages, 15022 KiB  
Article
Stress Field Evaluation in Orthotropic Microstructured Composites with Holes as Cosserat Continuum
by Farui Shi, Nicholas Fantuzzi, Patrizia Trovalusci, Yong Li and Zuoan Wei
Materials 2022, 15(18), 6196; https://0-doi-org.brum.beds.ac.uk/10.3390/ma15186196 - 06 Sep 2022
Cited by 4 | Viewed by 1110
Abstract
It is known that the presence of microstructures in solids such as joints and interfaces has an essential influence on the studies of the development of advanced materials, rock mechanics, civil engineering, and so on. However, microstructures are often neglected in the classical [...] Read more.
It is known that the presence of microstructures in solids such as joints and interfaces has an essential influence on the studies of the development of advanced materials, rock mechanics, civil engineering, and so on. However, microstructures are often neglected in the classical local (Cauchy) continuum model, resulting in inaccurate descriptions of the behavior of microstructured materials. In this work, in order to show the impact of microstructures, an implicit ‘non-local’ model, i.e., micropolar continuum (Cosserat), is used to numerically investigate the effects of direction and scale of microstructures on the tension problem of a composite plate with a circular hole. The results show that distributions of field variables (such as displacements and stresses) have an obvious directionality with respect to the microstructures’ direction. As the scale of microstructures increases, such a direction effect becomes more evident. Unlike the isotropic material where stress concentration occurs at the vertex of the hole and the stress concentration factor is close to 3, for the microstructured composite, the stress concentration can be observed at any location depending on the microstructures’ directions, and the concentration factor can exceed 3 to a maximum close to 9 as the increasing scale of microstructures. In addition, differences in the mechanical behavior between Cosserat and Cauchy models can be also observed; such differences are more evident for the material showing a pronounced orthotropic nature. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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21 pages, 6834 KiB  
Article
Simulation of PLC Effect Using Regularized Large-Strain Elasto-Plasticity
by Marzena Mucha, Balbina Wcisło and Jerzy Pamin
Materials 2022, 15(12), 4327; https://0-doi-org.brum.beds.ac.uk/10.3390/ma15124327 - 18 Jun 2022
Cited by 4 | Viewed by 1474
Abstract
The purpose of this paper is to develop a constitutive description and to numerically simulate a propagating instability phenomenon called the Portevin–Le Chatelier (PLC) effect, which is observed for metallic materials. It manifests itself by moving plastic shear bands in the sample and [...] Read more.
The purpose of this paper is to develop a constitutive description and to numerically simulate a propagating instability phenomenon called the Portevin–Le Chatelier (PLC) effect, which is observed for metallic materials. It manifests itself by moving plastic shear bands in the sample and serrations in the stress–strain diagram. In this paper, the PLC is modeled by geometrically non-linear thermo-visco-plasticity with the hardening function of the Estrin–McCormick type to reproduce a serrated response. To regularize softening, which in this model comes from thermal, geometrical and strain-rate effects, the viscosity and heat conductivity are incorporated. Plasticity description can additionally include degradation of the yield strength, and then the model is enhanced by higher-order gradients. Simulations are performed using AceGen/FEM. Two tensioned specimens are tested: a rod and a dog-bone sample. The first specimen is used for general verification. The results obtained for the second specimen are compared with the experimental results. Studies for different values of model parameters are performed. The results of the simulations are in good agreement with the experimental outcome and the sensitivity to model parameters is in line with the expectations for the pre-peak regime. In the presented tests, the gradient enhancement does not significantly influence the results. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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43 pages, 17671 KiB  
Article
Volume Integral Equation Method Solution for Spheroidal Inclusion Problem
by Jungki Lee and Mingu Han
Materials 2021, 14(22), 6996; https://0-doi-org.brum.beds.ac.uk/10.3390/ma14226996 - 18 Nov 2021
Cited by 2 | Viewed by 1239
Abstract
In this paper, the volume integral equation method (VIEM) is introduced for the numerical analysis of an infinite isotropic solid containing a variety of single isotropic/anisotropic spheroidal inclusions. In order to introduce the VIEM as a versatile numerical method for the three-dimensional elastostatic [...] Read more.
In this paper, the volume integral equation method (VIEM) is introduced for the numerical analysis of an infinite isotropic solid containing a variety of single isotropic/anisotropic spheroidal inclusions. In order to introduce the VIEM as a versatile numerical method for the three-dimensional elastostatic inclusion problem, VIEM results are first presented for a range of single isotropic/orthotropic spherical, prolate and oblate spheroidal inclusions in an infinite isotropic matrix under uniform remote tensile loading. We next considered single isotropic/orthotropic spherical, prolate and oblate spheroidal inclusions in an infinite isotropic matrix under remote shear loading. The authors hope that the results using the VIEM cited in this paper will be established as reference values for verifying the results of similar research using other analytical and numerical methods. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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22 pages, 9405 KiB  
Article
Analysis and Modification of Methods for Calculating Axial Load Capacity of High-Strength Steel-Reinforced Concrete Composite Columns
by Jun Wang, Yuxin Duan, Yifan Wang, Xinran Wang and Qi Liu
Materials 2021, 14(22), 6860; https://0-doi-org.brum.beds.ac.uk/10.3390/ma14226860 - 14 Nov 2021
Cited by 8 | Viewed by 2117
Abstract
To investigate the applicability of the methods for calculating the bearing capacity of high-strength steel-reinforced concrete (SRC) composite columns according to specifications and the effect of confinement of stirrups and steel on the bearing capacity of SRC columns. The axial compression tests were [...] Read more.
To investigate the applicability of the methods for calculating the bearing capacity of high-strength steel-reinforced concrete (SRC) composite columns according to specifications and the effect of confinement of stirrups and steel on the bearing capacity of SRC columns. The axial compression tests were conducted on 10 high-strength SRC columns and 4 ordinary SRC columns. The influences of the steel strength grade, the steel ratio, the types of stirrups and slenderness ratio on the bearing capacity of such members were examined. The analysis results indicate that using high-strength steel and improving the steel ratio can significantly enhance the bearing capacity of the SRC columns. When the slenderness ratio increases dramatically, the bearing capacity of the SRC columns plummets. As the confinement effect of the stirrups on the concrete improves, the utilization ratio of the high-strength steel in the SRC columns increases. Furthermore, the results calculated by AISC360-19(U.S.), EN1994-1-1-2004 (Europe), and JGJ138-2016(China) are too conservative compared with test results. Finally, a modified formula for calculating the bearing capacity of the SRC columns is proposed based on the confinement effect of the stirrups and steel on concrete. The results calculated by the modified formula and the finite element modeling results based on the confinement effect agree well with the test results. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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12 pages, 4745 KiB  
Article
Material Properties of HY 80 Steel after 55 Years of Operation for FEM Applications
by Szturomski Bogdan and Kiciński Radosław
Materials 2021, 14(15), 4213; https://0-doi-org.brum.beds.ac.uk/10.3390/ma14154213 - 28 Jul 2021
Cited by 11 | Viewed by 3550
Abstract
The paper presents the results of testing the properties of HY 80 steel from the hull of a Kobben class 207 submarine after 60 years of operation in extreme sea conditions. Steels from the HY family in the post-war period were used to [...] Read more.
The paper presents the results of testing the properties of HY 80 steel from the hull of a Kobben class 207 submarine after 60 years of operation in extreme sea conditions. Steels from the HY family in the post-war period were used to build American and German submarines. For the obtained fragment of steel from the hull of the Polish submarine ORP Jastrząb (ORP-Boat of the Republic of Poland), static tensile tests were performed on an MTS testing machine. Dynamic tensile tests were carried out on a rotary hammer for the strain rate in the range of 500~2000 s−1. Results: Based on the obtained results, the Johnson–Cook model and the failure parameters of HY 80 steel in terms of the finite element method (FEM) were developed. Conclusion: This model can be used to simulate fast-changing processes such as resistance of structures to collisions, shelling, and the impact of pressure waves caused by explosions in water and air related to submarines. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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17 pages, 3698 KiB  
Article
Higher Order Multiscale Finite Element Method for Heat Transfer Modeling
by Marek Klimczak and Witold Cecot
Materials 2021, 14(14), 3827; https://0-doi-org.brum.beds.ac.uk/10.3390/ma14143827 - 08 Jul 2021
Cited by 5 | Viewed by 1595
Abstract
In this paper, we present a new approach to model the steady-state heat transfer in heterogeneous materials. The multiscale finite element method (MsFEM) is improved and used to solve this problem. MsFEM is a fast and flexible method for upscaling. Its numerical efficiency [...] Read more.
In this paper, we present a new approach to model the steady-state heat transfer in heterogeneous materials. The multiscale finite element method (MsFEM) is improved and used to solve this problem. MsFEM is a fast and flexible method for upscaling. Its numerical efficiency is based on the natural parallelization of the main computations and their further simplifications due to the numerical nature of the problem. The approach does not require the distinct separation of scales, which makes its applicability to the numerical modeling of the composites very broad. Our novelty relies on modifications to the standard higher-order shape functions, which are then applied to the steady-state heat transfer problem. To the best of our knowledge, MsFEM (based on the special shape function assessment) has not been previously used for an approximation order higher than p = 2, with the hierarchical shape functions applied and non-periodic domains, in this problem. Some numerical results are presented and compared with the standard direct finite-element solutions. The first test shows the performance of higher-order MsFEM for the asphalt concrete sample which is subject to heating. The second test is the challenging problem of metal foam analysis. The thermal conductivity of air and aluminum differ by several orders of magnitude, which is typically very difficult for the upscaling methods. A very good agreement between our upscaled and reference results was observed, together with a significant reduction in the number of degrees of freedom. The error analysis and the p-convergence of the method are also presented. The latter is studied in terms of both the number of degrees of freedom and the computational time. Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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14 pages, 4501 KiB  
Article
Impact of Boundary Conditions on the Behavior of Thin-Walled Laminated Angle Column under Uniform Shortening
by Jarosław Gawryluk
Materials 2021, 14(11), 2732; https://0-doi-org.brum.beds.ac.uk/10.3390/ma14112732 - 21 May 2021
Cited by 6 | Viewed by 1443
Abstract
Determining the appropriate boundary conditions of a structure is a very important aspect in the failure analysis. In experimental tests, the method of compressing composite samples significantly influences the obtained results. In numerical studies, there is a problem of correctly defining the boundary [...] Read more.
Determining the appropriate boundary conditions of a structure is a very important aspect in the failure analysis. In experimental tests, the method of compressing composite samples significantly influences the obtained results. In numerical studies, there is a problem of correctly defining the boundary conditions applied in real object. Therefore, many numerical tests on samples should be undertaken to observe their behavior and to determine ultimate load. The present work includes study to determine the impact of boundary conditions on the thin-walled laminated angle column under compression. The phenomenon of buckling and the post-buckling bahavior of columns were investigated experimentally and numerically. First, the real simply supported angle columns subjected to uniform shortening are tested. Due to the stress concentration between the real sample and the grips, a flexible pads were used. Experimental tests are carried out on the universal testing machine. The deformations of columns were measured using the non-contact Aramis System. The composite material condition was monitored by acoustic emission using the Vallen Systeme with piezoelectric sensors. Next, the numerical calculations in Abaqus software based on the finite element method are performed to validate the empirical results. To determine the influence of the boundary conditions, two numerical models of the system with and without flexible pads are developed. To estimate damage initiation load in numerical models a different damage criteria ( Tsai-Hill, Tsai-Wu, Azzi-Tsai-Hill, Hashin) are used. Based on the results specified that the model with elastic pads more accurately reflects the actual behavior of the L-profile element under compression. It was supported, i.e., by good agreement of flanges deflection (the equilibrium paths) with experimental results. Furthermore, a qualitative and quantitative agreement of damage initiation load were obtained using Hashin criteria (error 4.61%). Full article
(This article belongs to the Special Issue Computational Mechanics of Structures and Materials)
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