Article
Mechanics
Jian Deng, Pu Xue, Qiao Zhi Yin, Tian Jian Liu, Xin Wei Wang
Summary: In this study, a three-dimensional damage analysis framework based on the finite element method was proposed to predict the damage evolution and load-bearing capacity of fiber-reinforced composites. The framework accounted for stress interaction, coupling effect, and addressed the issue of finite element mesh dependency.
COMPOSITE STRUCTURES
(2022)
Article
Mechanics
Huan Li, Ran Guo, Heming Cheng
Summary: A new extended Voronoi cell finite element method is proposed in this paper for modeling crack propagation in particulate reinforced composites. The method accurately captures crack-tip stress concentrations and determines the crack propagation direction based on energy release rate. Numerical examples demonstrate the effectiveness of the method in modeling interfacial and matrix damage.
COMPOSITE STRUCTURES
(2021)
Article
Engineering, Multidisciplinary
E. Benvenuti, A. Chiozzi, G. Manzini, N. Sukumar
Summary: In this paper, the authors propose an eXtended Virtual Element Method (X-VEM) for two-dimensional linear elastic fracture. The X-VEM allows for mesh-independent modeling of crack discontinuities and elastic crack-tip singularities on general polygonal meshes. The method involves an extended projector and additional basis functions constructed from standard virtual basis functions and enrichment fields. Numerical experiments demonstrate the accuracy and optimal convergence of the X-VEM formulation for mixed-mode linear elastic fracture problems.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Houbiao Ma, Yahui Zhang
Summary: In this study, a novel efficient 3D vibro-acoustic analysis method, PUFEM-FEM, is proposed, which can analyze multiple frequencies without the need for repeated meshing, while retaining the FEM's ability to model complex structures in great detail.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Engineering, Geological
Sai Liu, Zhennan Zhang, Zhongwei Huang
Summary: The study introduces a numerical simulation method for 3D complex reservoirs, utilizing a 3D hydromechanical coupled element partition method (3D-EPM) to effectively handle a large number of natural fractures and provide convenience for simulation.
INTERNATIONAL JOURNAL OF GEOMECHANICS
(2021)
Article
Engineering, Multidisciplinary
Mertcan Cihan, Blaz Hudobivnik, Joze Korelc, Peter Wriggers
Summary: The Virtual Element Method is a suitable approach for problems with non-conforming meshes, allowing the insertion of nodes at the virtual element boundary to achieve a conforming mesh structure.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Yong Liang, Xiong Zhang, Yan Liu
Summary: The eXtended Material Point Method (XMPM) is proposed to simulate three-dimensional crack propagation by modifying particle displacement approximation and introducing local enrichment functions. Adaptive crack front processing methods are developed to ensure the continuity and smoothness of the crack surface evolution in the XMPM framework. Numerical examples demonstrate the capability of XMPM to accurately simulate discontinuities and handle the evolution of crack surfaces in 3D dynamic crack propagation.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2021)
Article
Metallurgy & Metallurgical Engineering
Xiang-nan Wang, Peng Yu, Xiang-tao Zhang, Jia-lin Yu, Qing-shuo Hao, Quan-ming Li, Yu-zhen Yu
Summary: The numerical simulation of three-dimensional crack propagation in the finite element method poses challenges, leading to the development of a solution based on the extended finite element method. This method introduces stress-related function fields and solves boundary value problems to simplify programming complexity and improve the efficiency of simulating crack propagation.
JOURNAL OF CENTRAL SOUTH UNIVERSITY
(2021)
Article
Engineering, Multidisciplinary
Xinxin Jiang, Hong Zhong, Deyu Li, Albert A. Saputra, Chongmin Song
Summary: A time-domain method based on the scaled boundary finite element method (SBFEM) is developed for modeling three-dimensional transient dynamic fracture problems and is validated through numerical examples. The results show that the method has high computational accuracy and applicability.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2022)
Article
Materials Science, Multidisciplinary
Bin Sun, Zhao-Dong Xu
Summary: The study presents a new method based on continuum damage mechanics and finite element method for simulating the 3D fracture process of brittle materials. The method can accurately predict crack growth paths and macroscopic mechanical behaviors, which has been validated through numerical examples and experimental results.
INTERNATIONAL JOURNAL OF DAMAGE MECHANICS
(2022)
Article
Medicine, General & Internal
Vincenzo Giordano, Marcio Antonio Babinski, Anderson Freitas, Robinson Esteves Pires, Felipe Serrao de Souza, Luiz Paulo Giorgetta de Faria, Pedro Jose Labronici, Alexandre Godoy-Santos
Summary: In this study, the biomechanical behavior of different fixations of tibial posterior malleolus (TPM) was investigated using a finite element model. The results showed that when the involvement of the tibiotalar articular surface (TTAS) is less than 25%, a trans-syndesmotic screw (TSS) alone is sufficient for stabilization. However, when the involvement exceeds 25%, a non-locked or locked plate must be used. Additionally, for posterior fragments affecting 45% or more of the TTAS, a locking plate is recommended. This study provides valuable guidance for the treatment and fixation of TPM fractures.
Article
Mathematics
Fengbin Liu, Mingmei Zuo, Heng Cheng, Ji Ma
Summary: In this study, we propose the Dimension Coupling Method (DCM) as an efficient alternative to the Improved Element-Free Galerkin (IEFG) method for solving three-dimensional (3D) Laplace problems using meshless methods. The DCM divides the 3D problem domain into multiple two-dimensional (2D) problems, which are solved using the IEFG method, and combines the solutions in the third direction using the Finite Element Method (FEM). Numerical verification shows that the DCM improves computational speed while maintaining computational accuracy compared to the IEFG method. Therefore, the DCM significantly reduces computational time and costs, expanding the applicability of the dimension splitting EFG method.
Article
Computer Science, Interdisciplinary Applications
Bruna Caroline Campos, Felicio Bruzzi Barros, Samuel Silva Penna
Summary: This study improves numerical integration error and computational efficiency in generalized/extended finite element method for linear elastic fracture mechanics problems. Known integration strategies suitable for fracture mechanics analysis were studied and implemented, highlighting the necessity of alternative integration techniques for problems with singularities and/or discontinuities.
ENGINEERING COMPUTATIONS
(2021)
Article
Engineering, Multidisciplinary
Gabriele Albertini, Ahmed E. Elbanna, David S. Kammer
Summary: The article proposes a 3D hybrid method that combines the finite element method and spectral boundary integral method to model nonlinear problems in unbounded domains. This method offers significant advantages in improving computational efficiency and reducing memory requirements, suitable for massively parallel computers and potential applications in geophysics and engineering.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2021)
Article
Mechanics
Bing Chen, Tiantang Yu, Sundararajan Natarajan, Qing Zhang, Tinh Quoc Bui
Summary: This paper presents a hybrid computational strategy and implementation for simulating crack propagation in 3D solids. The approach combines extended finite element method (XFEM) with bond-based peridynamics (PD) to leverage the efficiency of XFEM and the flexibility of PD in dealing with crack growth. The integrated method allows cracks to grow naturally without fracture criteria and removes surface effects typical of nonlocal methods. The accuracy and performance of the method are demonstrated through numerical examples of dynamic and quasi-static crack propagation.
ENGINEERING FRACTURE MECHANICS
(2022)
