Article
Mathematics, Applied
Haifeng Ji
Summary: This paper presents a lowest-order immersed Raviart-Thomas mixed triangular finite element method for solving elliptic interface problems. The method constructs an immersed finite element by modifying the traditional element and derives important properties and error estimates. Numerical examples are provided to validate the theoretical analysis.
JOURNAL OF SCIENTIFIC COMPUTING
(2022)
Article
Engineering, Mechanical
Hossein Saberi, Hamid Saberi, Tinh Quoc Bui, Yousef Heider, Minh Ngoc Nguyen
Summary: In finite element analysis, adaptive mesh refinement (AMR) is commonly used to improve numerical solution accuracy in specific regions without refining the entire mesh. This study introduces a novel AMR technique for determining when and how to adjust element size during phase field fracture analysis, reducing computational cost without compromising accuracy. The technique involves approximating distance between field nodes in an existing mesh and performing remeshing as the crack propagates. Numerical examples demonstrate that this approach significantly reduces computational cost and maintains accuracy without prior knowledge of the crack propagation path. The technique also offers advantages in terms of convergence, ease of implementation, and applicability to irregular meshes.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2023)
Article
Engineering, Multidisciplinary
Tianju Xue, Sigrid Adriaenssens, Sheng Mao
Summary: The phase field method introduces a continuous phase field to regularize sharp crack discontinuities, but its applicability to engineering problems is hindered by computational costs. A mapped phase field method is proposed in this work to address this issue, utilizing a map to connect the physical domain to a parametric domain for more efficient computation and flexibility in adapting to crack evolution. Through numerical examples, it is shown that the proposed method consumes less computational resources compared to conventional methods without sacrificing accuracy.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Srivatsa Bhat Kaudur, Mayuresh J. Patil
Summary: The article presents a shape optimization scheme using an immersed-interface element that eliminates the need for mesh morphing or re-meshing. This approach reduces computational costs and maintains the accuracy of the solutions obtained.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2022)
Article
Mechanics
Benhour Amirian, Hossein Jafarzadeh, Bilen Emek Abali, Alessandro Reali, James David Hogan
Summary: This paper proposes a theoretical-computational framework to predict the failure behavior of two anisotropic brittle materials. The framework uses constitutive equations derived from thermodynamics to establish a fully coupled twin and crack system. The results are validated using finite element simulations and experimental data.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2022)
Article
Computer Science, Interdisciplinary Applications
Quanxiang Wang, Zhiyue Zhang, Liqun Wang
Summary: A new immersed finite volume element method is proposed in this paper to solve elliptic problems on Cartesian mesh with discontinuous diffusion coefficient and sharp-edged interfaces. Extensive numerical experiments show that the method achieves approximately second-order convergence for piecewise smooth solutions, and more than 1.65th order accuracy for solutions with singularity.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Mathematics, Applied
Quanxiang Wang, Jianqiang Xie, Zhiyue Zhang, Liqun Wang
Summary: This paper presents a new bilinear immersed finite volume element method based on rectangular mesh to solve elliptic interface problems with non-homogeneous jump conditions and sharp-edged interfaces. Numerical experiments show that the method achieves nearly second-order accuracy for the solution and first-order accuracy for the solution gradient in the L-infinity norm.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2021)
Article
Engineering, Multidisciplinary
Dakshith Ruvin Wijesinghe, Sundararajan Natarajan, Greg You, Manoj Khandelwal, Ashley Dyson, Chongmin Song, Ean Tat Ooi
Summary: A scaled boundary finite element-based phase field formulation is proposed for modeling 2D fracture in saturated poroelastic media. An adaptive refinement strategy based on quadtree meshes is adopted to avoid the constraints of fine uniform meshes when using phase field models. The unique advantage of the scaled boundary finite element method allows for efficient computation on quadtree meshes without special treatment of hanging nodes. The proposed model is validated and demonstrated through numerical examples of hydraulic fractures.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Materials Science, Multidisciplinary
Kai Xie, Ruijie Zhang, Zhongxin Li, Zhilin Wu
Summary: In this work, a new adaptive mesh refinement method is proposed for phase-field fracture, which reduces the computational expense by controlling the size of the refined region based on crack propagation speed. The efficiency and accuracy of the method are demonstrated through benchmark numerical examples, showing a reduction in computational time by about 90% compared with the standard PFM.
INTERNATIONAL JOURNAL OF FRACTURE
(2023)
Article
Mathematics, Applied
Jothi Mani Thondiraj, Akhshaya Paranikumar, Devesh Tiwari, Daniel Paquet, Pritam Chakraborty
Summary: This study develops a diffused interface CPFEM framework, which reduces computational cost by using biased mesh and provides accurate results using non-conformal elements in the mesh size transiting regions. The accuracy of the framework is confirmed through comparisons with sharp and stepped interface results.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2024)
Article
Computer Science, Software Engineering
Teseo Schneider, Yixin Hu, Xifeng Gao, Jeremie Dumas, Denis Zorin, Daniele Panozzo
Summary: The Finite Element Method (FEM) is commonly used to solve discrete Partial Differential Equations (PDEs) in engineering and graphics applications. This study introduces a set of benchmark problems and compares the performance of different element types for solving common elliptic PDEs using tetrahedral and hexahedral meshes. The results suggest that for certain problem sets and available mesh generation algorithms, quadratic tetrahedral elements perform well and can outperform hexahedral elements in structural analysis, thermal analysis, and low Reynolds number flows.
ACM TRANSACTIONS ON GRAPHICS
(2022)
Article
Computer Science, Interdisciplinary Applications
Dokyun Kim, Christopher B. Ivey, Frank E. Ham, Luis G. Bravo
Summary: A simple algebraic Volume-of-Fluid (VoF) method is developed based on the finite-volume formulation, utilizing a blended high-resolution scheme to preserve sharpness of material interfaces. The numerical algorithm is implemented and tested on Voronoi meshes, showing enhanced capabilities in preserving interface sharpness and shape compared to other algebraic VoF methods in the literature.
JOURNAL OF COMPUTATIONAL PHYSICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Biswajeet Rath, Xiaoyu Mao, Rajeev K. Jaiman
Summary: In this paper, a novel interface preserving and residual-based adaptivity procedure for the phase-field modeling of fluid-structure interaction is presented. The proposed adaptive procedure involves a fixed background finite element mesh and a diffused interface description. A stabilized finite element formulation and a partitioned iterative procedure are employed to solve the coupled system of equations. The adaptive refinement/coarsening of the mesh is achieved using a residual-based error indicator and a vertex bisection algorithm. The proposed adaptive procedure demonstrates significant reductions in computational cost while maintaining convergence properties.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Engineering, Multidisciplinary
Haifeng Ji, Feng Wang, Jinru Chen, Zhilin Li
Summary: This paper presents an immersed finite element (IFE) method for solving Stokes interface problems with a piecewise constant viscosity coefficient that has a jump across the interface. The method modifies the traditional finite element near the interface according to the interface jump conditions and proves the unisolvent property and optimal approximation capabilities of the IFE method. The stability and optimal error estimates are also derived rigorously.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mathematics, Interdisciplinary Applications
William G. Feather, Hojun Lim, Marko Knezevic
Summary: Numerous CPFE simulations were conducted to investigate the effects of element type and mesh resolution on the accuracy of predicted mechanical fields over grain structures, showing that quadratic tetrahedral and linear hexahedral elements are more accurate for CPFE modeling compared to linear tetrahedral and quadratic hexahedral elements. Tetrahedral elements are preferred due to their speed in mesh generation and flexibility in describing complex grain geometries.
COMPUTATIONAL MECHANICS
(2021)
Article
Materials Science, Multidisciplinary
Bingqiang Wei, Wenqian Wu, Mingyu Gong, Shuwei Yu, Song Ni, Min Song, Jian Wang
Summary: Deformation twinning is crucial in determining the mechanical behavior of hexagonal metals. Lowering the energy of basal stacking faults can promote the formation of basal stacking faults and face centred cubic phase, which affects the propagation and growth of deformation twins. This study provides insights into the influence of lowering basal stacking faults energy on twinning behaviors in hexagonal metals.
Article
Engineering, Multidisciplinary
Yiming Wu, Chang Zhou, Rui Wu, Lixin Sun, Chenyang Lu, Yunzhen Xiao, Zhengxiong Su, Mingyu Gong, Kaisheng Ming, Kai Liu, Chao Gu, Wenshu Yang, Jian Wang, Gaohui Wu
Summary: Aluminum alloys have low yielding and flow strengths, but a super-strong Al-30vol%SiC composite with a flow strength of 1.18 GPa and a uniform strain of 16.0% was reported. The alloy exhibited strengthening from nano-spaced SiC nanowires and high-density stacking faults (SFs) rarely stabilized in Al. SFs showed excellent thermal stability up to 320 degrees C and could be regained by thermal cooling even after elimination during annealing at 600 degrees C.
COMPOSITES PART B-ENGINEERING
(2023)
Review
Materials Science, Multidisciplinary
Jian Wang, Amit Misra
Summary: Heterostructured materials composed of nanoscale phases can enhance both yield strength and strain hardening, leading to uniform distribution of plastic flow. Deformation mechanisms in nanoscale eutectic binary systems enable slip transmission and interface-enabled plasticity, explaining the strength-ductility relationship and distributed plastic flow in multi-component eutectics.
CURRENT OPINION IN SOLID STATE & MATERIALS SCIENCE
(2023)
Article
Materials Science, Multidisciplinary
Hualong Ge, Guisen Liu, Shijian Zheng, Yaqian Yang, Kui Liu, Xiuliang Ma
Summary: Through transmission electron microscopy and atomistic simulation, we investigated the mechanisms of MC decomposition at the atomistic to micro-scale. We found that MC can deform plastically during high-temperature creep and observed high-density dislocations and steps at matrix/MC interfaces. This release of stress concentration improves the creep resistance. Moreover, we discovered that MC decomposition into M23C6 occurs in grain interiors, leading to cracks at the partially coherent M23C6/MC interfaces, which is different from the existing understanding.
Article
Materials Science, Multidisciplinary
Quan Li, Mingyu Gong, Jiancheng Jiang, Yiwen Chen, Houyu Ma, Yujuan Wu, Yongxiang Hu, Yue Liu, Guisen Liu, Jian Wang, Xiaoqin Zeng
Summary: We quantitatively measured the twinning shear of three twinning modes at an atomic level, allowing us to determine the character of elementary twinning dislocation. These findings not only clarify the twinning mechanisms but also provide a method to determine other complex shear mechanisms at an atomic level.
Article
Engineering, Mechanical
Mingyu Gong, Dongyue Xie, Tianyi Sun, Xinghang Zhang, Lin Shao, Jian Wang
Summary: A microstructure- and temperature-dependent crystal plasticity model is used to understand the mechanical properties of FeCrAl alloys. The model considers the temperature-dependent frictional resistance and microstructure-dependent irradiation hardening. The results provide insights into the thermo-mechanical behavior of unirradiated/irradiated FeCrAl alloys.
INTERNATIONAL JOURNAL OF PLASTICITY
(2023)
Article
Multidisciplinary Sciences
John P. Hirth, Dongyue Xie, Greg Hirth, Jian Wang
Summary: Type II and IV twins with irrational twin boundaries were studied in plagioclase crystals using high-resolution transmission electron microscopy. It was observed that the twin boundaries relaxed and formed rational facets separated by disconnections, similar to what was seen in NiTi. The topological model (TM) was required for precise theoretical prediction of the orientation of the Type II/IV twin plane, and predictions were also made for other types of twins. The faceting process provided a challenging test for the TM, but the analysis showed excellent agreement with the observations.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2023)
Article
Nanoscience & Nanotechnology
Tian Zhang, Jie Tang, Shudong He, Fulin Jiang, Dingfa Fu, Jie Teng, Jian Wang
Summary: We experimentally investigated the microstructure evolution and strengthening behaviors of three cold-worked austenitic steels that deform via dislocations, twinning, and stacking faults. It was found that the development of stacking faults and twins acts as kinematical barriers for dislocation motion, which is influenced by stacking fault energy and accumulated dislocations. These factors accelerate the dislocation storage rate, strengthen the alloys, and develop a high strain hardening rate. Therefore, we proposed a nonadditive strengthening equation by combining the dislocation-based two-internal-variable model coupled with kinematical barriers to rationalize the experimental observations.
SCRIPTA MATERIALIA
(2023)
Review
Chemistry, Physical
Bingqiang Wei, Lin Li, Lin Shao, Jian Wang
Summary: Crystalline metals have good deformability but poor strength and irradiation tolerance, while amorphous materials have poor deformability but high strength and good irradiation tolerance. By refining characteristic size, the flow strength of crystalline metals and the deformability of amorphous materials can be enhanced. This leads to enhanced strength and improved plastic flow stability in crystalline-amorphous nanostructures. The high-density interfaces in these nanostructures can trap radiation-induced defects and accommodate free volume fluctuation. This article reviews various crystalline-amorphous nanocomposites and their synthesis, deformation behaviors, and multiscale materials modelling.
Article
Engineering, Mechanical
Yucong Gu, Jonathan Cappola, Jian Wang, Lin Li
Summary: This study investigates the yielding behavior of heterogeneous metallic glasses (MGs) by varying the spatial correlation and standard deviation of local shear moduli associated with clustering atoms on the nanoscale. Through computations and observations, the study proposes a Hall-Petch-like relationship where the yield stress of MGs scales inversely with the square root of the spatial correlation length. The results provide insights into the structure-property relationship of MGs and have important implications for the design of nanoscale MGs with tunable properties.
INTERNATIONAL JOURNAL OF PLASTICITY
(2023)
Article
Engineering, Mechanical
Xiyuan Zhang, Guisen Liu, Linfeng Jiang, Dian Jiao, Jimiao Jiang, Chun Chen, Zhiqiang Gao, Jialin Niu, Gang Sha, Yao Shen, Hua Huang, Guangyin Yuan
Summary: In this study, a Zn-2Cu-0.8Li alloy with both high strength and high ductility is developed via a unique hierarchical structure. The alloy consists of a hard beta-LiZn4 matrix, a soft eta-Zn phase, and dispersive epsilon-CuZn4 nanoprecipitates. The alloy exhibits excellent mechanical properties due to the unique microstructure and shows great potential for broader biomedical applications.
INTERNATIONAL JOURNAL OF PLASTICITY
(2023)
Article
Nanoscience & Nanotechnology
Arkajit Ghosh, Wenqian Wu, Bibhu Prasad Sahu, Jian Wang, Amit Misra
Summary: Nano-scale eutectics, such as rapid solidified Al-Si, exhibit enhanced yield strength and strain hardening but limited plasticity. In this study, fully eutectic Al-Si microstructures with heavily twinned Si nano-fibers were synthesized using laser rapid solidification and chemical modification. These microstructures showed high hardness and stable plastic flow, with a mechanism of partial dislocation-mediated plasticity observed in the deformed Si(Sr) fibers. The findings provide insights into the plasticity mechanisms of nano-eutectic materials.
MATERIALS SCIENCE AND ENGINEERING A-STRUCTURAL MATERIALS PROPERTIES MICROSTRUCTURE AND PROCESSING
(2023)
Article
Materials Science, Multidisciplinary
Changqing Ye, Guisen Liu, Kaiguo Chen, Jingnan Liu, Jianbo Hu, Yuying Yu, Yong Mao, Yao Shen
Summary: The mechanical response of metals depends on the strain rate and shows significant changes across a wide range of strain rates. The authors developed a unified crystal plasticity model for face-centered cubic (fcc) metals to describe their mechanical response at different strain rates.
Article
Materials Science, Multidisciplinary
Haojie Mei, Liang Chen, Feifei Wang, Guisen Liu, Jing Hu, Weitong Lin, Yao Shen, Jinfu Li, Lingti Kong
Summary: This study developed interatomic potentials for the Zr-Sn system using first-principles calculations, aiming to investigate the effects of tin on irradiation-induced defect evolution in zirconium. The constructed potentials demonstrated high fidelity and accuracy, providing a solid foundation for further exploration of the atomic-scale behavior of the Zr-Sn alloy systems.
JOURNAL OF NUCLEAR MATERIALS
(2024)
