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The material point method (MPM) has been increasingly used for the simulation of large deformation processes in fluid-infiltrated porous materials. For undrained poromechanical problems, however, standard MPMs are numerically unstable…

数值分析 · 数学 2020-02-27 Yidong Zhao , Jinhyun Choo

A semi-implicit two-phase double-point Material Point Method (MPM) formulation, based on the incremental fractional-step method to model large deformation geotechnical problems has been derived. The semi-implicit formulation has two…

数值分析 · 数学 2025-08-22 Mian Xie , Pedro Navas , Susana Lopez-Querol

This paper presents a novel stabilized mixed material point method (MPM) designed for the unified modeling of free-surface and seepage flow. The unified formulation integrates the Navier-Stokes equation with the Darcy-Brinkman-Forchheimer…

数值分析 · 数学 2024-09-30 Bodhinanda Chandra , Ryota Hashimoto , Ken Kamrin , Kenichi Soga

The Material Point Method (MPM) is a hybrid Eulerian Lagrangian simulation technique for solid mechanics with significant deformation. Structured background grids are commonly employed in the standard MPM, but they may give rise to several…

计算工程、金融与科学 · 计算机科学 2024-08-02 Yadi Cao , Yidong Zhao , Minchen Li , Yin Yang , Jinhyun Choo , Demetri Terzopoulos , Chenfanfu Jiang

The unstable nature of the material point method is widely documented and is a barrier to the method being used for routine engineering analyses of large deformation problems. The vast majority of papers concerning this issue are focused on…

数值分析 · 数学 2022-09-23 William M. Coombs

The Material Point Method (MPM) is a hybrid Eulerian-Lagrangian approach capable of simulating large deformation problems of history-dependent materials. While the MPM can represent complex and evolving material domains by using Lagrangian…

地球物理 · 物理学 2019-10-01 Ezra Y. S. Tjung , Shyamini Kularathna , Krishna Kumar , Kenichi Soga

In this paper, we describe a new scalable and modular material point method (MPM) code developed for solving large-scale problems in continuum mechanics. The MPM is a hybrid Eulerian-Lagrangian approach, which uses both moving material…

Mixtures of fluids and granular sediments play an important role in many industrial, geotechnical, and aerospace engineering problems, from waste management and transportation (liquid--sediment mixtures) to dust kick-up below helicopter…

计算工程、金融与科学 · 计算机科学 2021-07-07 Aaron S. Baumgarten , Benjamin L. S. Couchman , Ken Kamrin

A novel Material Point Method (MPM) is introduced for addressing frictional contact problems. In contrast to the standard multi-velocity field approach, this method employs a penalty method to evaluate contact forces at the discretised…

数值分析 · 数学 2024-03-21 Emmanouil G. Kakouris , Manolis N. Chatzis , Savvas P. Triantafyllou

The Material Point Method (MPM) has become a cornerstone of physics-based simulation, widely used in geomechanics and computer graphics for modeling phenomena such as granular flows, viscoelasticity, fracture mechanics, etc. Despite its…

图形学 · 计算机科学 2025-05-07 Michael Liu , Xinlei Wang , Minchen Li

The simulation of high-rate deformation and failure of metals is has traditionally been performed using Lagrangian finite element methods or Eulerian hydrocodes. Lagrangian mesh-based methods are limited by issues involving mesh…

The Finite element method (FEM) has long served as the computational backbone for topology optimization (TO). However, for designing structures undergoing large deformations, conventional FEM-based TO often exhibits numerical instabilities…

计算工程、金融与科学 · 计算机科学 2026-03-17 Rahul Kumar Padhy , Aaditya Chandrasekhar , Krishnan Suresh

The performance evaluation of a potentially unstable slope involves two key components: the initiation of the slope failure and the post-failure runout. The Finite Element Method (FEM) excels at modeling the initiation of instability but…

地球物理 · 物理学 2022-06-16 Brent Sordo , Ellen Rathje , Krishna Kumar

This paper discusses a general formulation of the material point method in the context of additive decomposition rate-independent plasticity. The process of generating the weak form shows that volume integration over deforming particles can…

计算物理 · 物理学 2012-01-16 Biswajit Banerjee

The simulation of soil-structure interaction problems involving two-phase materials poses significant challenges in geotechnical engineering. These challenges arise due to differences in material stiffnesses, the interaction between…

数值分析 · 数学 2023-03-03 Chihun Sung , Shyamini Kularathna , Krishna Kumar

Dynamic shearing banding and fracturing in unsaturated porous media is a significant problem in engineering and science. This article proposes a multiphase micro-periporomechanics (uPPM) paradigm for modeling dynamic shear banding and…

数值分析 · 数学 2024-01-10 Hossein Pashazad , Xiaoyu Song

Numerical modeling of slope failures seeks to predict two key phenomena: the initiation of failure and the post-failure runout. Currently, most modeling methods for slope failure analysis excel at one of these two but are deficient in the…

数值分析 · 数学 2024-07-09 Brent Sordo , Ellen Rathje , Krishna Kumar

Shock-physics numerical codes are essential tools for describing the short but extreme fragmentation stage of the hypervelocity impact process on asteroids. However, accurately representing complex interior structures, surfaces, and contact…

地球与行星天体物理 · 物理学 2026-04-16 Xiaoran Yan , Patrick Michel , Ruichen Ni , Yifei Jiao , Junfeng Li

We present a novel Material Point Method (MPM) discretization of surface tension forces that arise from spatially varying surface energies. These variations typically arise from surface energy dependence on temperature and/or concentration.…

图形学 · 计算机科学 2022-01-19 Jingyu Chen , Victoria Kala , Alan Marquez-Razon , Elias Gueidon , David A. B. Hyde , Joseph Teran

The Material Point Method (MPM) is a numerical technique that combines a fixed Eulerian background grid and Lagrangian point masses to simulate materials which undergo large deformations. Within the original MPM, discontinuous gradients of…

数值分析 · 数学 2019-07-22 Pascal de Koster , Roel Tielen , Elizaveta Wobbes , Matthias Möller
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