Article
Engineering, Multidisciplinary
Manling Wang, Shuchen Li, Huiying Zhou, Xiuwei Wang, Kefeng Peng, Chao Yuan, Jinglong Li
Summary: A novel material point method called improved convected particle domain interpolation (ICPDI) is proposed to simulate large-deformation problems in geotechnical engineering. The ICPDI framework is based on convected particle domain interpolation (CPDI) and employs adaptive orthogonal improved interpolating moving least square (AOIIMLS) shape functions to prevent computational instability. Numerical simulations and comparisons with other methods demonstrate the accuracy and effectiveness of ICPDI.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Article
Engineering, Multidisciplinary
Zhiqiang Hu, Zijian Zhang, Xu Zhou, Xiaoxiao Cui, Hongfei Ye, Hongwu Zhang, Yonggang Zheng
Summary: A novel explicit phase-field material point method with the convected particle domain interpolation (ePF-CPDI) is proposed for solving large deformation dynamic impact/contact fracture problems in elastoplastic geomaterials. The method combines an explicit rate-dependent phase-field fracture model with a coupled explicit phase-field plasticity model to describe dynamic elastoplastic fracture responses. The convected particle domain interpolation technique is adopted to improve computational accuracy in large deformation simulation.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mechanics
Zhiqiang Hu, Yu Liu, Hongwu Zhang, Yonggang Zheng, Hongfei Ye
Summary: This paper introduces an implicit material point method called ICCPDI for predicting the consolidation and dynamic responses of saturated porous media with massive deformation. By using implicit equations and CPDI technique, the method overcomes time step limitations and numerical noise issues present in conventional explicit methods, demonstrating accuracy and efficiency in numerical simulations.
INTERNATIONAL JOURNAL OF APPLIED MECHANICS
(2021)
Article
Engineering, Multidisciplinary
Zhiqiang Hu, Hongwu Zhang, Yonggang Zheng, Hongfei Ye
Summary: In this study, a PF-ICPDI method is proposed to simulate the brittle-ductile failure transition in pressure-sensitive geomaterials. By coupling the phase-field fracture model and the plasticity model, and using the implicit material point method and the convected particle domain interpolation technique, the method can accurately simulate the elastoplastic fracture process under finite deformation.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
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, Mechanical
Xuefeng Peng, Zhongzhi Fu, Enyue Ji, Shengshui Chen, Qiming Zhong
Summary: This paper presents a new method, named convected particle Gauss-quadrature interpolation (CPGI), which enhances CPDI formulation by gauss quadrature to reduce cell crossing error. Through numerical examples, the effectiveness of the CPGI algorithm in reducing cell crossing error is demonstrated.
ACTA MECHANICA SINICA
(2023)
Article
Computer Science, Interdisciplinary Applications
Xuefeng Peng, Enyue Ji, Zhongzhi Fu, Shengshui Chen, Qiming Zhong
Summary: A novel Adaptive Interpolation Material Point Method (AIMPM) is proposed to simulate large deformation problems. The AIMPM combines domain interpolation and particle interpolation to accurately reflect the stress-strain behavior of geotechnical materials under large deformation. Verification cases show that the AIMPM significantly reduces cell crossing errors and captures the exact location of material flow.
COMPUTERS AND GEOTECHNICS
(2022)
Article
Engineering, Geological
Duanying Wan, Meng Wang, Zheming Zhu, Yuntao Wang, Hu Xiao, Weiting Gao
Summary: In this study, a coupled material point model (MPM) based on aGIMP and CPDI-Tet4 was established to simulate the dynamic splitting of a rock Brazilian disc under small deformation. A boundary-based contact algorithm was developed to accurately describe the contact force between the split bar's aGIMP particles and the rock's CPDI-Tet4 particles. The aGIMP technology enabled particles to move on a non-uniform background grid, resulting in a good simulation effect. The rock particle size was found to play an important role in the accuracy of the contact algorithm.
INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES
(2023)
Article
Mechanics
Jianguo Ning, Ziyan Jin, Xiangzhao Xu
Summary: PCELM is a partition-coupled Eulerian-Lagrangian method for accurately tracking free interfaces and contact discontinuities of compressible fluids with large deformation. It suppresses oscillations and solves numerical fracture issues through partition-weighted remapping and particle splitting. The method demonstrates strong energy conservation and accuracy in simulating compressible fluids with large deformation.
Article
Mathematics, Interdisciplinary Applications
Tak-Hoe Ku, Hyun-Gyu Kim
Summary: This paper presents a particle-based parallel scheme to reduce the computational cost of Material Point Method (MPM). The scheme distributes computational workloads evenly over computing cores by partitioning material particles. The performance of this particle-based parallel scheme is compared with a grid-based parallel scheme.
COMPUTATIONAL PARTICLE MECHANICS
(2023)
Article
Engineering, Geological
Vibhav Bisht, Rodrigo Salgado, Monica Prezzi
Summary: This study presents a coupled material point method (MPM) formulation for the analysis of cone penetration in clays. The governing equations are solved using an explicit scheme with the velocity of the soil matrix and the velocity of water as the primary variables. Verification and validation exercises demonstrate the efficacy and robustness of the adopted formulation in the realistic simulation of cone penetration in clay.
JOURNAL OF GEOTECHNICAL AND GEOENVIRONMENTAL ENGINEERING
(2021)
Article
Engineering, Multidisciplinary
Keita Nakamura, Satoshi Matsumura, Takaaki Mizutani
Summary: This paper introduces a new version of the particle-in-cell (PIC) method in the material point method (MPM) called Taylor-PIC (TPIC) transfer. TPIC combines the affine velocity based on the first-order Taylor series approximation and PIC transfer, resulting in a simple and stable approach with less dissipation. The paper also proposes a kernel correction method based on weighted least squares to address stress oscillations near boundaries in MPM. The accuracy and robustness of TPIC transfer and kernel correction are validated through simulations using different material types.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Computer Science, Interdisciplinary Applications
Vibhav Bisht, Rodrigo Salgado, Monica Prezzi
Summary: This paper presents a methodology for computing the response of a rigid strip footing in incompressible Tresca soil when loaded to large settlements. The efficacy of the proposed method is demonstrated through numerical simulations and the application of the non-linear extension to the B-bar method in mitigating volumetric locking. The effectiveness of the method is illustrated through comparisons with other numerical solutions in the literature.
COMPUTERS AND GEOTECHNICS
(2021)
Article
Mathematics, Interdisciplinary Applications
Paul L. Barclay, Jiajia Waters, Duan Z. Zhang
Summary: The dual domain material point (DDMP) method is investigated as a potential approach for simulating materials with complex geometry and large history-dependent deformation and failure. The method's mesh convergence, sensitivity to mesh orientation, and ability to handle softening and failure are evaluated. The findings indicate that DDMP outperforms the material point method (MPM) when there are instances of material points crossing cell boundaries, making it a suitable choice for modeling failure with large deformations and cell-crossings.
COMPUTATIONAL PARTICLE MECHANICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Martin Berzins
Summary: A common feature of methods in computational mechanics is the ability to estimate the error in the computed solution. However, for computational mechanics codes based on the Material Point Method (MPM), there is a lack of research on computable error estimates for these methods. This study aims to introduce an approach for estimating errors in the MPM. By using linearity-preserving extensions of existing methods, this approach allows the estimation of different spatial errors in the MPM based on nodal derivatives of physical variables. The computed error estimates enable the measurement of error growth over time and provide insights into the accuracy of the methods in space and time.
COMPUTATIONAL PARTICLE MECHANICS
(2023)
Article
Mathematics, Interdisciplinary Applications
Michael A. Homel, James E. Guilkey, Rebecca M. Brannon
COMPUTATIONAL MECHANICS
(2015)
Article
Engineering, Multidisciplinary
Alireza Sadeghirad, Ninghai Su, Feng Liu
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2015)
Article
Engineering, Multidisciplinary
F. Huq, R. Brannon, L. Graham-Brady
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2016)
Article
Engineering, Multidisciplinary
Michael A. Homel, Rebecca M. Brannon, James Guilkey
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2016)
Article
Materials Science, Multidisciplinary
Michael A. Homel, Rebecca M. Brannon
INTERNATIONAL JOURNAL OF FRACTURE
(2015)
Article
Materials Science, Multidisciplinary
Thomas Pucik, Rebecca M. Brannon, Jeffrey Burghardt
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES
(2015)
Article
Materials Science, Multidisciplinary
Jeffrey Burghardt, Rebecca M. Brannon
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES
(2015)
Article
Mechanics
Alireza Sadeghirad, David L. Chopp, Xiang Ren, Eugene Fang, Jim Lua
ENGINEERING FRACTURE MECHANICS
(2016)
Article
Materials Science, Ceramics
Rebecca Brannon, Katharin Jensen, Debasish Nayak
JOURNAL OF THE EUROPEAN CERAMIC SOCIETY
(2018)
Article
Computer Science, Interdisciplinary Applications
K. Kamojjala, R. Brannon, A. Sadeghirad, J. Guilkey
ENGINEERING WITH COMPUTERS
(2015)
Article
Mathematics, Interdisciplinary Applications
R. B. Leavy, J. E. Guilkey, B. R. Phung, A. D. Spear, R. M. Brannon
COMPUTATIONAL MECHANICS
(2019)
Article
Materials Science, Multidisciplinary
Alireza Sadeghirad, Kasra Momeni, Yanzhou Ji, Xiang Ren, Long-Qing Chen, Jim Lua
INTERNATIONAL JOURNAL OF FRACTURE
(2019)
Article
Materials Science, Multidisciplinary
Babak Mousavi, Alireza Sadeghirad, Vahid Lotfi
Summary: This paper investigates the applicability of nonlinear fracture mechanics (NLFM) to describe the fracture behavior of graphene. The fracture properties and criteria of graphene have not been fully understood yet, and the current understanding is mostly limited to linear elastic fracture mechanics (LEFM) investigations.
MATERIALS TODAY COMMUNICATIONS
(2022)
Article
Mechanics
Michael A. Homel, James E. Guilkey, Rebecca M. Brannon
Proceedings Paper
Engineering, Multidisciplinary
Andrew L. Tonge, Brian Leavy, Jerry LaSalvia, K. T. Ramesh, Rebecca Brannon
PROCEEDINGS OF THE 2015 HYPERVELOCITY IMPACT SYMPOSIUM (HVIS 2015)
(2015)