Article
Engineering, Mechanical
Fan Peng, Wei Huang, Yu'e Ma, Zhi-Qian Zhang, Nanke Fu
Summary: The study presents a fourth-order phase field model for simulating fracture behavior of hyperelastic materials undergoing finite deformation. The model is validated through numerical examples to demonstrate its robustness and effectiveness in simulating fracture phenomena of rubber-like materials.
FATIGUE & FRACTURE OF ENGINEERING MATERIALS & STRUCTURES
(2021)
Article
Engineering, Multidisciplinary
Fucheng Tian, Jun Zeng, Mengnan Zhang, Liangbin Li
Summary: The favored phase field method (PFM) faces challenges in the finite strain fracture modeling of nearly or truly incompressible hyperelastic materials. The contradiction between incompressibility and smeared crack opening is resolved by loosening the incompressible constraint of the damaged phase while maintaining the incompressibility of intact material. A novel mixed formulation is derived and validated through numerical examples. The Q1/P0 formulation is found to be a better choice for finite strain fracture in nearly incompressible cases. The proposed framework and methodology show potential in simulating complex peeling and tearing problems.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mechanics
Shoujing Zheng, Rong Huang, Ruijie Lin, Zishun Liu
Summary: This article presents a phase field fracture model implemented in the commercial finite element code ABAQUS/Standard. The method is based on the rate-independent variational principle of diffuse fracture and utilizes the analogy between the phase field evolution law and the heat transfer equation. It demonstrates robustness and flexibility in modeling fracture in hyperelastic materials and hydrogels.
ENGINEERING FRACTURE MECHANICS
(2022)
Article
Engineering, Multidisciplinary
Zijian Zhang, Yisong Qiu, Zhiqiang Hu, Hongfei Ye, Hongwu Zhang, Yonggang Zheng
Summary: An explicit phase-field total Lagrangian material point method (TLMPM) is proposed to effectively simulate the dynamic fracture behavior of hyperelastic solids involving massive deformation. The method utilizes the phase-field model to describe cracks and derives governing equations for hyperelastic materials using the Lagrangian equation. The total Lagrangian discrete formulation with explicit time integration is then developed within the material point method (MPM) framework to handle massive deformation and fracture. An improved contact algorithm based on particles is introduced to handle the impact and collision of soft materials. Additionally, a staggered single-iteration scheme is implemented to solve the coupling discrete displacement and phase field governing equations effectively. Two representative examples are presented to demonstrate the mesh convergence and accuracy of the proposed method. Finally, the collision of rings, compression of hyperelastic blocks, and impact of a metal ball on a soft membrane are simulated, showing the excellent performance of the proposed phase-field TLMPM in handling dynamic fracture of soft materials with contact and self-contact involving massive deformation.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Yang Jiang, Cunyi Li, Chi Wu, Timon Rabczuk, Jianguang Fang
Summary: Crack-direction-based decomposition is used to control the propagation of cracks in a phase field modelling context. The proposed double-phase field model extends this strategy to complex crack modelling in a 3D setting with plastic deformation. The model accurately captures different crack modes and has been proven effective in solving complex 3D problems.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mechanics
Parnian Hesammokri, Haiyang Yu, Per Isaksson
Summary: The interest in using phase-field theories to numerically analyze fracture has increased rapidly in recent years. However, existing decomposition strategies for phase-field fracture models have significant disadvantages, especially in handling mixed-mode load scenarios in compression. A generalized decomposition method is proposed to overcome these problems, incorporating features from both hydrostatic-deviatoric and spectral decompositions, along with a classical Mohr-Coulomb failure criterion. The enhanced decomposition strategy provides mechanistic insight into fracture processes in brittle materials subject to mixed-mode loads, as demonstrated by numerical models and crack experiments.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2023)
Article
Engineering, Geological
Pan Sun, Zhitang Lu, Zhiliang Wang, Jie Wu
Summary: This paper proposes a phase-field formulation based on an extended F-criterion to simulate tensile-compressive-shear rock fractures. By applying the F-criterion, the phase-field crack-driving energy decomposition is determined by a direction search which maximizes the local fracture dissipation. In compressive-shear states, the computation is supplemented by an explicitly expressed confinement-dependent mode-II fracture energy release rate, and the cracking angle is determined by both the fracture energy and strain states. The hybrid formulation and alternate minimization algorithm are adopted for the numerical examples in this paper. Fractures for rock and rock-like specimens subjected to compression demonstrate the ability of the present model in capturing tensile-compressive-shear rock fracture behaviors.
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
(2023)
Article
Engineering, Multidisciplinary
B. B. Yin, W. K. Sun, Yang Zhang, K. M. Liew
Summary: This study proposes a novel meshfree framework based on bond-based peridynamics (PD) using finite deformation theory to model the large deformation and progressive fracture of hyperelastic materials. The framework introduces an original bond strain and a numerical damping parameter to improve the solution accuracy and stability of explicit time integration. It outperforms grid-based methods in capturing complex crack features and has been successfully validated in various examples. The framework has wide compatibility with hyperelastic models and has potential applications in elastomer-hydrogel composites and soft tissues modeling.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mathematics, Interdisciplinary Applications
Zhiheng Luo, Lin Chen, Nan Wang, Bin Li
Summary: This article introduces a phase-field model for strongly anisotropic fracture and numerically examines the influence of the local maximum energy release rate principle on crack propagation direction.
COMPUTATIONAL MECHANICS
(2022)
Article
Mechanics
P. Aurojyoti, A. Rajagopal, K. S. S. Reddy
Summary: In this work, the phase field method (PFM) is applied to model fracture in polymeric materials. A crack initiation criteria based on a critical stretch value is proposed due to the large extensibility of polymer chains before fracture. The material's tensile stretches contribute to active strain energy, which drives fracture. The strain energy is decomposed into active and passive parts based on the polymer chains' critical stretch value in a phase-field setting. The effectiveness and applicability of the model are demonstrated through various numerical examples.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2023)
Article
Engineering, Multidisciplinary
Yu Tan, Chang Liu, Jinsheng Zhao, Yuxiang He, Peidong Li, Xiangyu Li
Summary: A phase field model for brittle fracture in multiferroic materials is developed in this study, and the constitutive equations are derived in the context of the phase field method. The influence of external magnetic field, electric field, and electric and magnetic boundary conditions on fracture behaviors of multiferroic materials is investigated through numerical simulations. This work is beneficial for assessing the safety of multiferroic-based devices in engineering applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mechanics
Ishank Jain, Alba Muixi, Chandrasekhar Annavarapu, Shantanu S. Mulay, Antonio Rodriguez-Ferran
Summary: An adaptive phase-field method is developed and applied to model fracture propagation in orthotropic composites. The findings show that laminate configurations with fibers aligned to the global coordinate system exhibit increased ductility and peak load-carrying capacity. Increasing the fracture toughness of the adhesive layer enhances macroscopic ductility and prevents catastrophic failure.
ENGINEERING FRACTURE MECHANICS
(2023)
Article
Physics, Multidisciplinary
Baudouin Saintyves, Romain Pic, L. Mahadevan, Irmgard Bischofberger
Summary: When a hyperelastic hydrogel dries from a lateral boundary, it undergoes elastic deformation and forms air cavities and cellular networks. The size of these cavities is determined by the confinement of the gel and the interfacial tension between air and hydrogel.
PHYSICAL REVIEW LETTERS
(2023)
Article
Materials Science, Composites
Sagar Rao, Michal K. Budzik, Marcelo A. Dias
Summary: This study fills the gaps in understanding the implications and requirements of using the phase-field model (PFM) in studying fracture in composite materials. It analyzes the role of critical parameters, the effects of length-scale interactions, and concerns about convergence. By weakening the matrix/fibre interface, the PFM proves to be an important tool in toughening composite materials.
COMPOSITES SCIENCE AND TECHNOLOGY
(2022)
Review
Energy & Fuels
Bobo Xiang, Xuelai Zhang
Summary: China still has a gap in vegetable planting and logistics compared to foreign countries, and the cold chain preservation technology needs to be improved. Pre cooling technology has important prospects in cold chain development, and the comprehensive utilization of solar energy and biomass energy is also a direction worth exploring.
JOURNAL OF ENERGY STORAGE
(2023)
Article
Mechanics
Gang Zhang, Tian Fu Guo, Zhiheng Zhou, Shan Tang, Xu Guo
ENGINEERING FRACTURE MECHANICS
(2019)
Article
Materials Science, Multidisciplinary
Nian Zhou, Gang Zhang, Tian Fu Guo, Xu Guo, Shan Tang, Xiaoxu Huang
PHILOSOPHICAL MAGAZINE
(2019)
Article
Chemistry, Physical
Bo Yang, Xianghe Peng, Cheng Huang, Yinbo Zhao, Xiang Chen, Gang Zhang, Tao Fu
JOURNAL OF ALLOYS AND COMPOUNDS
(2019)
Article
Engineering, Marine
B. D. Edmans, D. C. Pham, Z-Q Zhang, T. E. Guo, N. Sridhar, G. Stewart
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2019)
Article
Engineering, Multidisciplinary
Shan Tang, Gang Zhang, Hang Yang, Ying Li, Wing Kam Liu, Xu Guo
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2019)
Article
Engineering, Multidisciplinary
Gang Zhang, Tian Fu Guo, Xu Guo, Shan Tang, Mark Fleming, Wing Kam Liu
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2019)
Article
Materials Science, Multidisciplinary
Zongliang Du, Gang Zhang, Tianfu Guo, Shan Tang, Xu Guo
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2020)
Article
Chemistry, Physical
Hai Qiu, Ying Li, Tianfu Guo, Shan Tang, Zhaoqian Xie, Xu Guo
Summary: The study investigates the mechanical behaviors of porous soft solids under biaxial loads, revealing new pattern transformations under biaxial compression for soft solids with oblique lattices of circular voids. Introducing tensile deformation in one direction can inhibit this pattern transformation, while the number of voids in square lattices of voids affects the deformation behaviors quantitatively rather than qualitatively. The results suggest that void morphology and biaxial loading can be utilized to tune the pattern transformations of porous soft solids under large deformation, providing new possibilities for controlling their deformation patterns under specific biaxial stress-states.
Article
Engineering, Multidisciplinary
Gang Zhang, Tian Fu I. Guo, Khalil Elkhodary, Shan Tang, Xu Guo
Summary: This paper presents a mixed Graph-FEM approach for the phase field modeling of fracture in plates and shells composed of nonlinearly elastic solids. The method discretizes the phase field evolution equation using a graph Laplacian on a curved surface and proposes an alternating solution strategy. It demonstrates fast convergence and robustness in modeling the fracture of plates and shells of arbitrary curvature.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mathematics, Interdisciplinary Applications
Zhoucheng Su, Dan Wang, Tianfu Guo, N. Sridhar
Summary: This study presents a computational micromechanical analysis of unidirectional carbon fiber-reinforced plastics using representative volume elements. Different stress states were systematically studied, with the conclusion that the failure envelope converges as the fiber volume fraction increases. The developed framework can be extended to conveniently examine the failure criteria for UD CFRP composites comprehensively.
JOURNAL OF MULTISCALE MODELLING
(2021)
Article
Polymer Science
Piye Wu, Yongzhi Peng, Xiaomeng Zhang, Gang Zhang, Jiabing Ran, Man Xu
Summary: A new reactive flame retardant DTA was synthesized and applied to improve the flame retardancy of unsaturated polyester resin. The addition of DTA contributed to improving the flame retardancy of UP, increasing LOI and achieving UL94 V-0 rating. DTA played an important role in flame retardancy in both the gas and condensed phases.
JOURNAL OF POLYMER ENGINEERING
(2022)
Article
Chemistry, Multidisciplinary
Rui Zhou, Jiyin Cao, Gang Zhang, Xia Yang, Xinyu Wang
Summary: High heat load is a major cause of ship failure in diesel engines, posing risks to safety and the environment. This study analyzes the prediction of diesel engine heat load using LSTM and introduces an effective method for intelligent detection and maintenance.
APPLIED SCIENCES-BASEL
(2023)
Article
Polymer Science
Gang Zhang, Hai Qiu, Khalil I. Elkhodary, Shan Tang, Dan Peng
Summary: Hydrogels have wide-ranging applications in biomedicine and can be used to create devices such as biosensors, drug-delivery vectors, and cell culture matrices. In this study, a mixed graph-finite element method (FEM) phase field approach is proposed to model the fracture of hydrogel-based curved shells in biomedical devices. By combining this method with experimental material testing, the efficient modeling of fracture in devices with surfaces of arbitrary curvature can be achieved, facilitating the design of devices with tunable fracture properties.
Article
Engineering, Multidisciplinary
Akshay J. Thomas, Mateusz Jaszczuk, Eduardo Barocio, Gourab Ghosh, Ilias Bilionis, R. Byron Pipes
Summary: We propose a physics-guided transfer learning approach to predict the thermal conductivity of additively manufactured short-fiber reinforced polymers using micro-structural characteristics obtained from tensile tests. A Bayesian framework is developed to transfer the thermal conductivity properties across different extrusion deposition additive manufacturing systems. The experimental results demonstrate the effectiveness and reliability of our method in accounting for epistemic and aleatory uncertainties.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Zhen Zhang, Zongren Zou, Ellen Kuhl, George Em Karniadakis
Summary: In this study, deep learning and artificial intelligence were used to discover a mathematical model for the progression of Alzheimer's disease. By analyzing longitudinal tau positron emission tomography data, a reaction-diffusion type partial differential equation for tau protein misfolding and spreading was discovered. The results showed different misfolding models for Alzheimer's and healthy control groups, indicating faster misfolding in Alzheimer's group. The study provides a foundation for early diagnosis and treatment of Alzheimer's disease and other misfolding-protein based neurodegenerative disorders using image-based technologies.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jonghyuk Baek, Jiun-Shyan Chen
Summary: This paper introduces an improved neural network-enhanced reproducing kernel particle method for modeling the localization of brittle fractures. By adding a neural network approximation to the background reproducing kernel approximation, the method allows for the automatic location and insertion of discontinuities in the function space, enhancing the modeling effectiveness. The proposed method uses an energy-based loss function for optimization and regularizes the approximation results through constraints on the spatial gradient of the parametric coordinates, ensuring convergence.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Bodhinanda Chandra, Ryota Hashimoto, Shinnosuke Matsumi, Ken Kamrin, Kenichi Soga
Summary: This paper proposes new and robust stabilization strategies for accurately modeling incompressible fluid flow problems in the material point method (MPM). The proposed approach adopts a monolithic displacement-pressure formulation and integrates two stabilization strategies to ensure stability. The effectiveness of the proposed method is validated through benchmark cases and real-world scenarios involving violent free-surface fluid motion.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Chao Peng, Alessandro Tasora, Dario Fusai, Dario Mangoni
Summary: This article discusses the importance of the tangent stiffness matrix of constraints in multibody systems and provides a general formulation based on quaternion parametrization. The article also presents the analytical expression of the tangent stiffness matrix derived through linearization. Examples demonstrate the positive effect of this additional stiffness term on static and eigenvalue analyses.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Thibaut Vadcard, Fabrice Thouverez, Alain Batailly
Summary: This contribution presents a methodology for detecting isolated branches of periodic solutions to nonlinear mechanical equations. The method combines harmonic balance method-based solving procedure with the Melnikov energy principle. It is able to predict the location of isolated branches of solutions near families of autonomous periodic solutions. The relevance and accuracy of this methodology are demonstrated through academic and industrial applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Weisheng Zhang, Yue Wang, Sung-Kie Youn, Xu Guo
Summary: This study proposes a sketch-guided topology optimization approach based on machine learning, which incorporates computer sketches as constraint functions to improve the efficiency of computer-aided structural design models and meet the design intention and requirements of designers.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Leilei Chen, Zhongwang Wang, Haojie Lian, Yujing Ma, Zhuxuan Meng, Pei Li, Chensen Ding, Stephane P. A. Bordas
Summary: This paper presents a model order reduction method for electromagnetic boundary element analysis and extends it to computer-aided design integrated shape optimization of multi-frequency electromagnetic scattering problems. The proposed method utilizes a series expansion technique and the second-order Arnoldi procedure to reduce the order of original systems. It also employs the isogeometric boundary element method to ensure geometric exactness and avoid re-meshing during shape optimization. The Grey Wolf Optimization-Artificial Neural Network is used as a surrogate model for shape optimization, with radar cross section as the objective function.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
C. Pilloton, P. N. Sun, X. Zhang, A. Colagrossi
Summary: This paper investigates the smoothed particle hydrodynamics (SPH) simulations of violent sloshing flows and discusses the impact of volume conservation errors on the simulation results. Different techniques are used to directly measure the particles' volumes and stabilization terms are introduced to control the errors. Experimental comparisons demonstrate the effectiveness of the numerical techniques.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Ye Lu, Weidong Zhu
Summary: This work presents a novel global digital image correlation (DIC) method based on a convolution finite element (C-FE) approximation. The C-FE based DIC provides highly smooth and accurate displacement and strain results with the same element size as the usual finite element (FE) based DIC. The proposed method's formulation and implementation, as well as the controlling parameters, have been discussed in detail. The C-FE method outperformed the FE method in all tested examples, demonstrating its potential for highly smooth, accurate, and robust DIC analysis.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Mojtaba Ghasemi, Mohsen Zare, Amir Zahedi, Pavel Trojovsky, Laith Abualigah, Eva Trojovska
Summary: This paper introduces Lung performance-based optimization (LPO), a novel algorithm that draws inspiration from the efficient oxygen exchange in the lungs. Through experiments and comparisons with contemporary algorithms, LPO demonstrates its effectiveness in solving complex optimization problems and shows potential for a wide range of applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jingyu Hu, Yang Liu, Huixin Huang, Shutian Liu
Summary: In this study, a new topology optimization method is proposed for structures with embedded components, considering the tension/compression asymmetric interface stress constraint. The method optimizes the topology of the host structure and the layout of embedded components simultaneously, and a new interpolation model is developed to determine interface layers between the host structure and embedded components.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Qiang Liu, Wei Zhu, Xiyu Jia, Feng Ma, Jun Wen, Yixiong Wu, Kuangqi Chen, Zhenhai Zhang, Shuang Wang
Summary: In this study, a multiscale and nonlinear turbulence characteristic extraction model using a graph neural network was designed. This model can directly compute turbulence data without resorting to simplified formulas. Experimental results demonstrate that the model has high computational performance in turbulence calculation.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Jacinto Ulloa, Geert Degrande, Jose E. Andrade, Stijn Francois
Summary: This paper presents a multi-temporal formulation for simulating elastoplastic solids under cyclic loading. The proper generalized decomposition (PGD) is leveraged to decompose the displacements into multiple time scales, separating the spatial and intra-cyclic dependence from the inter-cyclic variation, thereby reducing computational burden.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
Article
Engineering, Multidisciplinary
Utkarsh Utkarsh, Valentin Churavy, Yingbo Ma, Tim Besard, Prakitr Srisuma, Tim Gymnich, Adam R. Gerlach, Alan Edelman, George Barbastathis, Richard D. Braatz, Christopher Rackauckas
Summary: This article presents a high-performance vendor-agnostic method for massively parallel solving of ordinary and stochastic differential equations on GPUs. The method integrates with a popular differential equation solver library and achieves state-of-the-art performance compared to hand-optimized kernels.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)