Article
Engineering, Multidisciplinary
Songkai Ren, Pei Zhang, S. A. Galindo-Torres
Summary: This article investigates the complex interactions in fluid-solid-particle systems and proposes a hybrid model that combines the advantages of the two-phase Material Point Method and the Discrete Element Method. The model proves to be capable of efficiently solving problems with large deformations in fluid-solid-particle interactions.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Biomedical
Wenting Shu, Helen Heimark, Nicky Bertollo, Desmond J. Tobin, Eoin D. O'Cearbhaill, Aisling Ni Annaidh
Summary: This study develops a finite element model for simulating microneedle insertion and penetration into human skin, emphasizing the importance of accurate computational modeling in understanding the mechanics of microneedle insertion. The study reveals the effects of skin pretension and microneedle array geometry on microneedle penetration efficiency.
ACTA BIOMATERIALIA
(2021)
Article
Mathematics, Interdisciplinary Applications
Lehui Li, Yanping Lian, Ming-Jian Li, Ruxin Gao, Yong Gan
Summary: A novel contact algorithm, cBSMPM, is proposed to accurately predict the contact, friction, and separation of two continuum bodies in impact and penetration problems. This algorithm avoids the cell-crossing noise of particles presented in traditional MPM, and is implemented on the computational background grid built from the control points associated with the knot vectors of the B-splines. Experimental results show the effectiveness of the proposed criterion in avoiding spurious contact and stress oscillations, and increasing the B-spline basis function order improves solution accuracy.
COMPUTATIONAL MECHANICS
(2023)
Article
Engineering, Multidisciplinary
Zhixin Zeng, Heng Zhang, Xiong Zhang, Yan Liu, Zhen Chen
Summary: An adaptive peridynamics material point method (APDMPM) is proposed for modeling dynamic fracture problems. The method combines peridynamics (PD) and material point method (MPM) to predict the initiation and propagation of cracks and improve the calculation efficiency and accuracy.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Pengcong Mu, Xinming Wu, Weiying Zheng
Summary: In this study, a finite element method is proposed to solve the coupled model of classical drift-diffusion equations and Schrodinger-Poisson equations in simulating a resonant tunneling diode. An energy-adaptive algorithm is introduced to accurately compute the coupling coefficient and quantum electron density while reducing the number of nodes. Numerical experiments show that the proposed method based on energy-adaptive grids is robust and converges quickly.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Computer Science, Interdisciplinary Applications
Xiangcou Zheng, Mohammed Seaid, Federico Pisano, Michael A. Hicks, Philip J. Vardon, Nejan Huvaj, Ashraf S. Osman
Summary: A hybrid material point/finite volume method is proposed for numerical simulation of shallow water waves caused by large dynamic deformations in the bathymetry. The model couples nonlinear shallow water equations for water flow with a dynamic elastoplastic system for seabed deformation. The transfer conditions between these models are achieved using forces sampled from hydraulic pressure and friction terms at the interface between seabed soil and shallow water. The performance of the proposed method is demonstrated through numerical examples of shallow water flow simulations and large deformation capture of the solid phase.
COMPUTERS AND GEOTECHNICS
(2023)
Article
Engineering, Multidisciplinary
Songkai Ren, Pei Zhang, Yifeng Zhao, Xiaoqing Tian, S. A. Galindo-Torres
Summary: This paper proposes a hybrid approach that combines the Material Point Method (MPM) and the Metaball Discrete Element Method (MDEM) to simulate complex fluid-particle interactions. A coupling strategy is used to calculate the interaction forces and a novel collision scheme is introduced to accurately capture collision characteristics between particles of different diameters. The effectiveness of the proposed approach is demonstrated through comparison with experimental data.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Samir Silva Saliba, Lapo Gori, Roque Luiz da Silva Pitangueira
Summary: This paper employs the coupling of the finite element method (FEM) and the smoothed point interpolation methods (SPIM) in studying inelastic problems, showcasing both linear and nonlinear numerical simulations. The results are compared with analytical solutions and experimental data to demonstrate the main features of the proposed coupling method.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
(2021)
Article
Engineering, Multidisciplinary
Shengwen Tu, Naoki Morita, Tsutomu Fukui, Kazuki Shibanuma
Summary: This study aimed to extend the finite element method to cope with elastic-plastic problems by introducing the s-version FEM. The s-version FEM, which overlays a set of local mesh with fine element size on the conventional FE mesh, simplifies domain discretisation and provides accurate numerical predictions. Previous applications of the s-version FEM were limited to elastic problems, lacking instructions for stress update in plasticity. This study presents detailed instructions and formulations for addressing plasticity problems with the s-version FEM and analyzes a stress concentration problem with linear/nonlinear material properties.
APPLIED MATHEMATICAL MODELLING
(2024)
Article
Engineering, Multidisciplinary
Hao Chen, Shiwei Zhao, Jidong Zhao, Xiaowen Zhou
Summary: This study proposes a generalized contact scheme based on a hybrid scheme of material point method (MPM) and discrete element method (DEM) to model multi-body and multi-material interactions. The scheme contains two novel features of particle-particle and particle-structure contact schemes guided by a DEM contact model. It demonstrates that the generalized contact scheme can flexibly capture the mechanical responses of multi-body and multi-material systems in MPM.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mathematics, Applied
Jijing Zhao, Hongxing Rui
Summary: In this paper, a method combining weak Galerkin and conforming finite element is proposed to solve the hybrid-dimensional fracture problem. The method is shown to be accurate and robust through numerical examples.
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
(2023)
Article
Mining & Mineral Processing
Duanying Wan, Meng Wang, Zheming Zhu, Fei Wang, Lei Zhou, Ruifeng Liu, Weiting Gao, Yun Shu, Hu Xiao
Summary: Three-dimensional rock fracture induced by blasting is a complex problem in geotechnical engineering. The material point method, combined with GIMP and CPDI, is used to address this problem and achieve good simulation and experimental results. The mechanism of rock fracture is analyzed, highlighting the importance of rock particle size and material parameters in rock damage.
INTERNATIONAL JOURNAL OF MINING SCIENCE AND TECHNOLOGY
(2022)
Article
Engineering, Civil
Li Ren, Yongteng Zhong, Jiawei Xiang
Summary: This paper introduces an adaptive sensors array errors compensation method based on finite element method (FEM) simulation to eliminate the impact localization bias on stiffened composite structures. By analyzing and comparing Lamb wave propagation errors between the simple and stiffened plate using FEM simulation, a gain-phase errors matrix is constructed. The array error matrix is then used to compensate the stiffener effect in the standard two-dimensional Multiple Signal Classification (2D-MUSIC) algorithm, and the reasonable location of the impact source is estimated through adaptive iterative computation. Experimental results on a carbon fiber composite stiffened plate validate the validity and effectiveness of the proposed method.
THIN-WALLED STRUCTURES
(2022)
Article
Engineering, Multidisciplinary
Pei Zhang, Siqi Sun, Yilin Chen, S. A. Galindo-Torres, Weicheng Cui
Summary: This study introduces a hybrid 3D model combining LBM and MPM for FSI with large structural deformations and turbulent flows. The model is validated and tested, showing good agreement and potential future applications.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2021)
Article
Materials Science, Multidisciplinary
Yu Foong Lam, Taufiq Abdullah, Kedar Kirane
Summary: This work investigates the relationship between dynamic crack penetration and deflection at a material interface for materials with strain rate dependent damage evolution. A strain rate dependent continuum damage mechanics (CDM) model is used to analyze the behavior, where the material point softening damage law scales with the strain rate. The model is calibrated and validated with experimental data, and shows good prediction of crack behavior. It is found that the local strain rates at the interface significantly affect the bulk and interface strengths and toughnesses, resulting in increased crack penetration. Boundary conditions also play a significant role in predicting cracking behavior.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
(2023)
Article
Mathematics, Interdisciplinary Applications
Zhixin Zeng, Yu-Chen Su, Xiong Zhang, Zhen Chen
Summary: This study combines Peridynamics with the material point method (MPM) and the generalized interpolation material point method (GIMP) to better simulate failure evolution under transient loading. By eliminating the volume integration limitation in the original Peridynamics, the two methods are smoothly combined and applied for improved simulation of failure evolution.
COMPUTATIONAL PARTICLE MECHANICS
(2021)
Article
Computer Science, Interdisciplinary Applications
Murong Li, Yong Lei, Dedong Gao, Yingda Hu, Xiong Zhang
Summary: The study introduced a needle-tissue interaction model based on material point method (MPM) to handle discontinuous penetration, demonstrating its feasibility and accuracy through experimental validation.
COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING
(2021)
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
Engineering, Multidisciplinary
Heng Zhang, Xiong Zhang, Yan Liu, Pizhong Qiao
Summary: A general peridynamics-based framework is developed for elastic bimaterial interface fracture analysis. The proposed method effectively captures the characteristics of bimaterial interface fracture and introduces a modified critical energy density criterion.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Zhixin Zeng, Heng Zhang, Xiong Zhang, Yan Liu, Zhen Chen
Summary: An adaptive peridynamics material point method (APDMPM) is proposed for modeling dynamic fracture problems. The method combines peridynamics (PD) and material point method (MPM) to predict the initiation and propagation of cracks and improve the calculation efficiency and accuracy.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Ming-Jian Li, Yanping Lian, Xiong Zhang
Summary: In this article, an immersed finite element material point method is proposed for water entry fluid-structure interaction problems. The method combines an improved incompressible material point method and finite element method to discretize the fluid and solid domains respectively. A sharp immersed interface approach is used to handle the interaction between the two methods, resulting in accurate and efficient numerical calculations.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Multidisciplinary
Lei Kan, Xiong Zhang
Summary: Fluid-structure-interaction (FSI) modeling is crucial for academic and engineering purposes, but it remains a grand challenge in numerical modeling. This paper presents an effective monolithic approach, called immersed multi-material arbitrary Lagrangian Eulerian material point method (IALEMPM), for FSI problems with multi-material fluid flow and extreme structure deformation. The proposed method tracks interfaces implicitly and implements interface interactions by assembling nodal forces and momenta. Consistent time integration scheme, rezoning phase, and remapping phase are also established for consistent requirements throughout the simulation. Numerical examples demonstrate the effectiveness of IALEMPM in solving complex FSI problems.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mechanics
Heng Zhang, Xiong Zhang, Yan Liu
Summary: This paper proposes a new nonlocal peridynamic contact model for contact problems accompanied with crack growth. Two long-range peridynamic contact bond forces are developed to study the sticking and sliding frictional contact. A numerical algorithm is proposed to determine the contact surface normal vector and contact condition, and the model is verified and validated through numerical examples.
ENGINEERING FRACTURE MECHANICS
(2022)
Article
Mechanics
Yongjie Feng, Mu Wang, Xinming Qiu
Summary: In this study, a simplified mechanical model is established to obtain the equivalent stiffness of crease in origami structures. The deformation profiles of simple origami with one-dimensional creases are accurately predicted using the current theoretical model. The coupling effects between the rotation of creases and the bending of shells are also investigated.
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
(2022)
Article
Engineering, Mechanical
Heng Zhang, Xiong Zhang
Summary: In this study, a thermomechanical peridynamic framework is established to analyze the fracture behavior of dissimilar material interfaces coupled with residual thermal effect. The proposed peridynamic models successfully predict the failure characteristics of the interface and capture the role of residual thermal effect.
THEORETICAL AND APPLIED FRACTURE MECHANICS
(2022)
Article
Mechanics
Xianheng Wang, Xinming Qiu
Summary: This paper proposes two mechanical models for analyzing the unidirectional multiple folding of paper. The deformation profiles and applied forces or bending moments during the folding process were predicted and verified. It was found that an A4 paper can be folded a maximum of 8 times.
EUROPEAN JOURNAL OF MECHANICS A-SOLIDS
(2022)
Article
Engineering, Mechanical
Tao Liu, Liming Chen, Xinghua Zhang, Xiaotian Zhang, Xinming Qiu
Summary: This paper studies the stress wave propagation in 2D membrane subjected to hypervelocity impact (HVI). A triangular-pulse stress wave model is developed and verified, showing its accuracy and predictive capability. The influences of system parameters on the dynamic behaviors of the far-field stress wave are analyzed, and a waveform distortion phenomenon is observed leading to changes in the stress state.
INTERNATIONAL JOURNAL OF IMPACT ENGINEERING
(2022)
Article
Computer Science, Interdisciplinary Applications
Ruichen Ni, Jiasheng Li, Xiong Zhang, Xu Zhou, Xiaoxiao Cui
Summary: This paper proposes an immersed boundary-material point method (IBMPM) for simultaneous simulations of shock-structure interaction and dynamic fracture. The finite volume method (FVM) is used as the fluid solver with a TVD Riemann solver for shock simulation, while the material point method (MPM) is employed as the solid solver for extreme deformation problems. The FVM and MPM are coupled by an improved immersed boundary method (IBM) called Lagrangian continuous-forcing IBM (lg-CFIBM). Numerical examples verify the effectiveness of the proposed method, showing good agreement with experimental results.
JOURNAL OF COMPUTATIONAL PHYSICS
(2022)
Review
Engineering, Multidisciplinary
Zhixin Zeng, Ruichen Ni, Xiong Zhang, Yan Liu
Summary: A novel explicit phase field material point method (ex-PFMPM) is proposed for modeling dynamic fracture problems. The phase field governing equation is discretized by particles and updated using explicit forward-difference time integration. The stability of the ex-PFMPM is studied and a new explicit critical time step formula is obtained, which considers particle position and neighboring cell interaction.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Heng Zhang, Dan Huang, Xiong Zhang
Summary: A peridynamics-based framework is developed for elastic-plastic ductile fracture analysis. A new state-based peridynamic elastic-plastic model is proposed, along with methods for computing nonlinear energy release rate and modeling ductile crack growth. The results demonstrate that the proposed peridynamic models accurately capture the characteristics of elastic-plastic deformation and ductile fracture.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2024)
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)