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Applied Sciences
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Computational Methods for Fracture Ⅱ
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Computational Methods for Fracture Ⅱ

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

Deadline for manuscript submissions: closed (31 August 2021) | Viewed by 11619

Special Issue Editor

Prof. Dr. Timon Rabczuk

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Guest Editor
Institute of Structural Mechanics, Bauhaus-Universität Weimar, Weimar, Thuringia, Germany
Interests: discontinuity; machine learning; multiscale modelling; isogeometric analysis
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The computational modeling of the fracture and failure of engineering systems and materials has been the focus of research for many years, and there have been tremendous advancements in this field in the past two decades, including the extended finite element method (XFEM) developed in 1999, peridynamics (2000), the cracking particles method (2004), and phase field models (2009). There has also been a great deal of effort dedicated to developing multiscale methods for the design of new materials, such as the extended bridging domain method or the MAD method.

The main focus of this Special Issue is on computational methods for fracture. However, articles on validation, uncertainty quantification, large-scale engineering applications, and constitutive modeling are also welcome. Potential topics include, but are not limited to, the following:

  • New computational methods for fracture;
  • Advances in the partition of unity methods;
  • Meshfree methods;
  • Isogeometric analysis;
  • Efficient remeshing techniques;
  • Phase-field and screened-Poisson models for fracture;
  • Peridynamics;
  • Multiphysics problems such as hydraulic fracturing;
  • Computational methods for crack detection;
  • Large-scale engineering applications;
  • Multiscale methods for fracture;
  • Validation and uncertainty quantification.

Prof. Dr. Timon Rabczuk
Guest Editor

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. Applied Sciences 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 2400 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

  • Fracture
  • Modeling and simulation
  • Validation
  • Uncertainty quantification
  • Finite elements
  • Meshfree methods
  • Peridynamics
  • Isogeometric analysis

Published Papers (4 papers)

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Research

17 pages, 11553 KiB  
Article
A Novel Precipitate-Type Architected Metamaterial Strengthened via Orowan Bypass-Like Mechanism
by Zhehao Lu, Wenyuan Yan, Pengfei Yan and Biao Yan
Appl. Sci. 2020, 10(21), 7525; https://0-doi-org.brum.beds.ac.uk/10.3390/app10217525 - 26 Oct 2020
Cited by 13 | Viewed by 2289
Abstract
The objective of the study is to investigate the strengthening mechanism of embedded meta-precipitates in the design of architected metamaterials. Four precipitate-type architected metamaterials are designed and prepared by fused deposition modelling (FDM). The difference of mechanical properties and deformation mode of these [...] Read more.
The objective of the study is to investigate the strengthening mechanism of embedded meta-precipitates in the design of architected metamaterials. Four precipitate-type architected metamaterials are designed and prepared by fused deposition modelling (FDM). The difference of mechanical properties and deformation mode of these structures is analyzed. The strengthening effect of the introduced meta-precipitates is then compared with Orowan bypass strengthening mechanism. The similarities and discrepancies of metallurgical hardening principles and that found in architected metamaterials are established. It is found that due to the introduction of embedded meta-precipitates, the deformation of the structure changes significantly from diagonal crushing to a meander route, thus improves the mechanical properties and energy absorption abilities. The hindering effect and the influence of volume fraction of meta-precipitates is similar to Orowan bypass mechanism. Full article
(This article belongs to the Special Issue Computational Methods for Fracture Ⅱ)
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19 pages, 4882 KiB  
Article
Applying the Cracking Elements Method for Analyzing the Damaging Processes of Structures with Fissures
by Qianqian Dong, Jie Wu, Zizheng Sun, Xiao Yan and Yiming Zhang
Appl. Sci. 2020, 10(20), 7335; https://0-doi-org.brum.beds.ac.uk/10.3390/app10207335 - 20 Oct 2020
Cited by 1 | Viewed by 1900
Abstract
In this work, the recently proposed cracking elements method (CEM) is used to simulate the damage processes of structures with initial imperfections. The CEM is built within the framework of the conventional finite element method (FEM) and is formally similar to a special [...] Read more.
In this work, the recently proposed cracking elements method (CEM) is used to simulate the damage processes of structures with initial imperfections. The CEM is built within the framework of the conventional finite element method (FEM) and is formally similar to a special type of finite element. Disconnected piecewise cracks are used to represent the crack paths. With the advantage of the CEM for which both the initiation and propagation of cracks can be captured naturally, we numerically study uniaxial compression tests on specimens with multiple joints and fissures, where the cracks may propagate from the tips or from other unexpected positions. Although uniaxial compression tests are considered, tensile damage criteria are mainly used in the numerical model. On the one hand, the results demonstrate the robustness and effectiveness of the CEM, while, on the other hand, some drawbacks of the present model are demonstrated, indicating directions for future work. Full article
(This article belongs to the Special Issue Computational Methods for Fracture Ⅱ)
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17 pages, 890 KiB  
Article
Efficient Deep Learning for Gradient-Enhanced Stress Dependent Damage Model
by Xiaoying Zhuang, L. C. Nguyen, Hung Nguyen-Xuan, Naif Alajlan and Timon Rabczuk
Appl. Sci. 2020, 10(7), 2556; https://0-doi-org.brum.beds.ac.uk/10.3390/app10072556 - 08 Apr 2020
Cited by 4 | Viewed by 2673
Abstract
This manuscript introduces a computational approach to micro-damage problems using deep learning for the prediction of loading deflection curves. The location of applied forces, dimensions of the specimen and material parameters are used as inputs of the process. The micro-damage is modelled with [...] Read more.
This manuscript introduces a computational approach to micro-damage problems using deep learning for the prediction of loading deflection curves. The location of applied forces, dimensions of the specimen and material parameters are used as inputs of the process. The micro-damage is modelled with a gradient-enhanced damage model which ensures the well-posedness of the boundary value and yields mesh-independent results in computational methods such as FEM. We employ the Adam optimizer and Rectified linear unit activation function for training processes and research into the deep neural network architecture. The performance of our approach is demonstrated through some numerical examples including the three-point bending specimen, shear bending on L-shaped specimen and different failure mechanisms. Full article
(This article belongs to the Special Issue Computational Methods for Fracture Ⅱ)
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14 pages, 1325 KiB  
Article
Efficient Parallel Algorithms for 3D Laplacian Smoothing on the GPU
by Lei Xiao, Guoxiang Yang, Kunyang Zhao and Gang Mei
Appl. Sci. 2019, 9(24), 5437; https://0-doi-org.brum.beds.ac.uk/10.3390/app9245437 - 11 Dec 2019
Cited by 6 | Viewed by 4035
Abstract
In numerical modeling, mesh quality is one of the decisive factors that strongly affects the accuracy of calculations and the convergence of iterations. To improve mesh quality, the Laplacian mesh smoothing method, which repositions nodes to the barycenter of adjacent nodes without changing [...] Read more.
In numerical modeling, mesh quality is one of the decisive factors that strongly affects the accuracy of calculations and the convergence of iterations. To improve mesh quality, the Laplacian mesh smoothing method, which repositions nodes to the barycenter of adjacent nodes without changing the mesh topology, has been widely used. However, smoothing a large-scale three dimensional mesh is quite computationally expensive, and few studies have focused on accelerating the Laplacian mesh smoothing method by utilizing the graphics processing unit (GPU). This paper presents a GPU-accelerated parallel algorithm for Laplacian smoothing in three dimensions by considering the influence of different data layouts and iteration forms. To evaluate the efficiency of the GPU implementation, the parallel solution is compared with the original serial solution. Experimental results show that our parallel implementation is up to 46 times faster than the serial version. Full article
(This article belongs to the Special Issue Computational Methods for Fracture Ⅱ)
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