Research Advances in Large Deformation Analysis and Applications of the Material Point Method

Large deformation analysis is a crucial foundation for studying the nonlinear behavior and progressive damage of materials and structures. Traditional mesh methods often struggle with large-scale mesh distortion when dealing with such issues, which can compromise solution efficiency and accuracy, an...

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Main Authors: Changhong Zhou, Qing Zhong, Xuejiao Zhou, Xionghua Wu, Shiyi Chen
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Applied Sciences
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Online Access:https://www.mdpi.com/2076-3417/15/12/6617
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author Changhong Zhou
Qing Zhong
Xuejiao Zhou
Xionghua Wu
Shiyi Chen
author_facet Changhong Zhou
Qing Zhong
Xuejiao Zhou
Xionghua Wu
Shiyi Chen
author_sort Changhong Zhou
collection DOAJ
description Large deformation analysis is a crucial foundation for studying the nonlinear behavior and progressive damage of materials and structures. Traditional mesh methods often struggle with large-scale mesh distortion when dealing with such issues, which can compromise solution efficiency and accuracy, and in severe cases, even cause computational interruptions. In contrast, the material point method (MPM) employs a dual framework of Lagrangian particles and Eulerian background grids, effectively integrating the advantages of both Lagrangian and Eulerian approaches, thus avoiding mesh distortion and challenges in handling convective terms. Consequently, many researchers are dedicated to developing an MPM for addressing high-speed impact and fluid–structure interaction problems that involve material failure and large deformations. This paper begins by introducing the fundamental theory and contact algorithms of the MPM. It then systematically summarizes the latest advancements and applications of the MPM, including its hybridization and coupling with other algorithms, in simulating various large deformation scenarios such as high-speed impacts, explosions, dynamic cracking, penetration, and fluid–structure interactions. This paper concludes with a summary and a prospective view on future trends. This review highlights the robustness and accuracy of the MPM in tackling large deformation problems, offering valuable insights for the analysis of large deformations and damage evolution in various materials.
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spelling doaj-art-8e4e099f110a471e830a81298bb415122025-08-20T02:24:26ZengMDPI AGApplied Sciences2076-34172025-06-011512661710.3390/app15126617Research Advances in Large Deformation Analysis and Applications of the Material Point MethodChanghong Zhou0Qing Zhong1Xuejiao Zhou2Xionghua Wu3Shiyi Chen4School of Architecture and Transportation Engineering, Guilin University of Electronic Technology, Guilin 541004, ChinaSchool of Architecture and Transportation Engineering, Guilin University of Electronic Technology, Guilin 541004, ChinaSchool of Architecture and Transportation Engineering, Guilin University of Electronic Technology, Guilin 541004, ChinaGuangxi Highway Inspection Co., Ltd., Nanning 530012, ChinaSchool of Architecture and Transportation Engineering, Guilin University of Electronic Technology, Guilin 541004, ChinaLarge deformation analysis is a crucial foundation for studying the nonlinear behavior and progressive damage of materials and structures. Traditional mesh methods often struggle with large-scale mesh distortion when dealing with such issues, which can compromise solution efficiency and accuracy, and in severe cases, even cause computational interruptions. In contrast, the material point method (MPM) employs a dual framework of Lagrangian particles and Eulerian background grids, effectively integrating the advantages of both Lagrangian and Eulerian approaches, thus avoiding mesh distortion and challenges in handling convective terms. Consequently, many researchers are dedicated to developing an MPM for addressing high-speed impact and fluid–structure interaction problems that involve material failure and large deformations. This paper begins by introducing the fundamental theory and contact algorithms of the MPM. It then systematically summarizes the latest advancements and applications of the MPM, including its hybridization and coupling with other algorithms, in simulating various large deformation scenarios such as high-speed impacts, explosions, dynamic cracking, penetration, and fluid–structure interactions. This paper concludes with a summary and a prospective view on future trends. This review highlights the robustness and accuracy of the MPM in tackling large deformation problems, offering valuable insights for the analysis of large deformations and damage evolution in various materials.https://www.mdpi.com/2076-3417/15/12/6617material point methodlarge deformationhigh-speed impactexplosionfluid-structure interaction
spellingShingle Changhong Zhou
Qing Zhong
Xuejiao Zhou
Xionghua Wu
Shiyi Chen
Research Advances in Large Deformation Analysis and Applications of the Material Point Method
Applied Sciences
material point method
large deformation
high-speed impact
explosion
fluid-structure interaction
title Research Advances in Large Deformation Analysis and Applications of the Material Point Method
title_full Research Advances in Large Deformation Analysis and Applications of the Material Point Method
title_fullStr Research Advances in Large Deformation Analysis and Applications of the Material Point Method
title_full_unstemmed Research Advances in Large Deformation Analysis and Applications of the Material Point Method
title_short Research Advances in Large Deformation Analysis and Applications of the Material Point Method
title_sort research advances in large deformation analysis and applications of the material point method
topic material point method
large deformation
high-speed impact
explosion
fluid-structure interaction
url https://www.mdpi.com/2076-3417/15/12/6617
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AT xuejiaozhou researchadvancesinlargedeformationanalysisandapplicationsofthematerialpointmethod
AT xionghuawu researchadvancesinlargedeformationanalysisandapplicationsofthematerialpointmethod
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