Structural Mechanics: Theory, Method and Applications

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Mechanical Engineering".

Deadline for manuscript submissions: 31 July 2024 | Viewed by 3310

Special Issue Editors


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Guest Editor
Department of Mechanical, Aerospace, and Biomedical Engineering, University of Tennessee, Knoxville, TN 37996, USA
Interests: computational structural mechanics; sensitivity analysis; fracture mechanics

Special Issue Information

Dear Colleagues,

Structural mechanics methodology is continually evolving to predict the behavior of emerging materials and hybrid configurations. Additionally, rapidly evolving computational resources now provide the capability to simulate complex structural scenarios spanning length and time scales. Additionally, machine learning offers the potential for data-centric engineering to identify relationships and characterize structural mechanics behaviors using high fidelity physics-based models. Papers that address advances in these and other emerging areas are sought for this Special Issue focusing on structural mechanics topics that advance the forefront of knowledge in predicting and understanding structural behavior.

Dr. Stephanie TerMaath
Dr. Reza Abedi
Guest Editors

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Keywords

  • multi-scale methods
  • stochastic volume elements
  • machine learning
  • numerical methods
  • novel applications
  • hybrid and emerging materials
  • damage analysis

Published Papers (4 papers)

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Research

17 pages, 25352 KiB  
Article
Research on Crack Propagation Mechanism of Silicon Nitride Ceramic Ball Bearing Channel Surface Based on Rolling Friction Experiment
by Pengfei Wang, Songhua Li, Yuhou Wu, Yu Zhang, Chao Wei and Yonghua Wang
Appl. Sci. 2024, 14(2), 674; https://0-doi-org.brum.beds.ac.uk/10.3390/app14020674 - 12 Jan 2024
Viewed by 664
Abstract
The application feedback on existing silicon nitride ceramic bearings and RCF experimental research all indicate that the primary failure mode of silicon nitride ceramic bearings is material spalling on the contact surface. Spalling failure occurs due to the initiation and propagation of cracks [...] Read more.
The application feedback on existing silicon nitride ceramic bearings and RCF experimental research all indicate that the primary failure mode of silicon nitride ceramic bearings is material spalling on the contact surface. Spalling failure occurs due to the initiation and propagation of cracks under rolling contact. However, silicon nitride ceramic bearings, owing to their unique manufacturing method, inevitably exhibit defects and cracks. Therefore, as silicon nitride ceramic bearings are increasingly prevalent, reducing the probability of spalling failure is crucial for extending their service life. This can only be achieved by gaining a clear understanding of the crack initiation and expansion mechanisms in silicon nitride ceramic bearings. This paper is based on silicon nitride rolling friction experiments. It involves the joint simulation of Franc3D-V8.4 and ABAQUS2020, wherein the crack front SIFs are calculated for each load contact position of the surface crack on the silicon nitride ceramic bearing ring during cyclic movement. The study also delves into the determination of the maximum effective stress intensity factors and explores the influence of the initial crack depth on the cycle life and direction of crack propagation. The research yields several valuable conclusions. The findings of this research offer theoretical guidance for formulating grinding technologies for silicon nitride rings and adjusting and controlling working parameters of silicon nitride ceramic ball bearings. These insights are crucial for enhancing the reliability and longevity of silicon nitride ceramic bearings in practical applications. Full article
(This article belongs to the Special Issue Structural Mechanics: Theory, Method and Applications)
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32 pages, 72342 KiB  
Article
Automated Reconstruction and Conforming Mesh Generation for Polycrystalline Microstructures from Imaging Data
by Balavignesh Vemparala, Wadi H. Imseeh, Salil Pai, Anand Nagarajan, Timothy Truster and Soheil Soghrati
Appl. Sci. 2024, 14(1), 407; https://0-doi-org.brum.beds.ac.uk/10.3390/app14010407 - 01 Jan 2024
Viewed by 788
Abstract
A new algorithm named PolyCISAMR is introduced to automatically generate high-fidelity conforming finite element (FE) meshes for two-dimensional polycrystalline microstructures. PolyCISAMR extends the capabilities of the Conforming to Interface Structured Adaptive Mesh Refinement (CISAMR) algorithm, which transforms a structured grid overlaid on the [...] Read more.
A new algorithm named PolyCISAMR is introduced to automatically generate high-fidelity conforming finite element (FE) meshes for two-dimensional polycrystalline microstructures. PolyCISAMR extends the capabilities of the Conforming to Interface Structured Adaptive Mesh Refinement (CISAMR) algorithm, which transforms a structured grid overlaid on the domain geometry into a high-quality conforming mesh. The PolyCISAMR approach uses a segregated meshing strategy, where CISAMR is used to discretize each grain independently and the resulting matching meshes are merged to form the final FE model. In addition, this article presents a set of integrated algorithms for processing low-resolution images of a polycrystal, reconstructed using DREAM.3D software (Version 6.5.121), to generate NURBS characterizations for each grain prior to mesh generation. Example problems demonstrate the effectiveness of PolyCISAMR in creating high-quality meshes for various polycrystalline metallic microstructures along with corresponding crystal plasticity finite element (CPFE) simulations. Full article
(This article belongs to the Special Issue Structural Mechanics: Theory, Method and Applications)
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15 pages, 4385 KiB  
Article
Artificial Neural Network (ANN) Validation Research: Free Vibration Analysis of Functionally Graded Beam via Higher-Order Shear Deformation Theory and Artificial Neural Network Method
by Murat Çelik, Emircan Gündoğdu, Emin Emre Özdilek, Erol Demirkan and Reha Artan
Appl. Sci. 2024, 14(1), 217; https://0-doi-org.brum.beds.ac.uk/10.3390/app14010217 - 26 Dec 2023
Viewed by 865
Abstract
Presented herein is the free vibration analysis of functionally graded beams (FGMs) via higher-order shear deformation theory and an artificial neural network method (ANN). The transverse displacement (w) is expressed as bending (wb) and shear (ws) components to define [...] Read more.
Presented herein is the free vibration analysis of functionally graded beams (FGMs) via higher-order shear deformation theory and an artificial neural network method (ANN). The transverse displacement (w) is expressed as bending (wb) and shear (ws) components to define the deformation of the beam. The higher-order variation of the transverse shear strains is accounted for through the thickness direction of the FGM beam, and satisfies boundary conditions. The governing equations are derived with the help of Hamilton’s principle. Non-dimensional frequencies are obtained using Navier’s solution. To validate and enrich the proposed research, an artificial neural network method (ANN) was developed in order to predict the dimensionless frequencies. Material properties and previous studies were used to generate the ANN dataset. The obtained frequency values from the analytical solution and ANN method were compared and discussed with respect to the mean error. In conclusion, the solutions were demonstrated for various deformation theories, and all of the results were thereupon tabularized and visualized using 2D and 3D plots. Full article
(This article belongs to the Special Issue Structural Mechanics: Theory, Method and Applications)
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17 pages, 6556 KiB  
Article
Statistical Homogenization of Elastic and Fracture Properties of a Sample Selective Laser Melting Material
by Ryan P. Connor, Balavignesh Vemparala, Reza Abedi, Giang Huynh, Soheil Soghrati, Chris T. Feldmeier and Kevin Lamb
Appl. Sci. 2023, 13(22), 12408; https://0-doi-org.brum.beds.ac.uk/10.3390/app132212408 - 16 Nov 2023
Viewed by 607
Abstract
Selective laser melting (SLM) is an additive manufacturing technique commonly used in the rapid prototyping of components. The complexity of the SLM microstructure poses a unique challenge to deriving effective mechanical properties at different length scales. Representative volume elements (RVEs) are often used [...] Read more.
Selective laser melting (SLM) is an additive manufacturing technique commonly used in the rapid prototyping of components. The complexity of the SLM microstructure poses a unique challenge to deriving effective mechanical properties at different length scales. Representative volume elements (RVEs) are often used to homogenize the material properties of composites. Instead of RVEs, we use statistical volume elements (SVEs) to homogenize the elastic and fracture properties of the material. This relates the inherent variation of a material’s microstructure to the variation in its mechanical properties at different observation scales. The convergence to the RVE limit is examined from two perspectives: the stability of the mean value as the SVE size increases for the mean-based approach, and the tendency of the normalized variation in homogenized properties to zero as the SVE size increases for the variation-based approach. Fracture properties tend to make the RVE limit slower than do elastic properties from both perspectives. There are also differences between vertical (normal to printing plane) and horizontal (in-plane) properties. While the elastic properties tend to make the RVE limit faster for the horizontal direction, i.e., having a smaller variation and more stable mean value, the fracture properties exhibit the opposite effect. We attributed these differences to the geometry of the melt pools. Full article
(This article belongs to the Special Issue Structural Mechanics: Theory, Method and Applications)
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