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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…

Computational Physics · Physics 2012-01-13 Biswajit Banerjee , James E. Guilkey , Todd B. Harman , John A. Schmidt , Patrick A. McMurtry

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…

Numerical Analysis · Mathematics 2024-03-21 Emmanouil G. Kakouris , Manolis N. Chatzis , Savvas P. Triantafyllou

In this paper, we extend our Smooth Particle Hydrodynamics (SPH) impact code to include the effect of porosity at a sub-resolution scale by adapting the so-called $P-alpha$ model. Many small bodies in the different populations of asteroids…

Astrophysics · Physics 2009-11-13 M. Jutzi , W. Benz , P. Michel

As a complement to experimental and theoretical approaches, numerical modeling has become an important component to study asteroid collisions and impact processes. In the last decade, there have been significant advances in both…

Earth and Planetary Astrophysics · Physics 2019-08-07 Martin Jutzi , Keith Holsapple , Kai Wünneman , Patrick Michel

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…

Graphics · Computer Science 2025-05-07 Michael Liu , Xinlei Wang , Minchen Li

Capturing the interaction between objects that have an extreme difference in Young s modulus or geometrical scale is a highly challenging topic for numerical simulation. One of the fundamental questions is how to build an accurate…

Computational Engineering, Finance, and Science · Computer Science 2019-10-01 Yupeng Jiang , Minchen Li , Chenfanfu Jiang , Fernando Alonso-marroquin

This study focuses on solving the numerical challenges of imposing absorbing boundary conditions for dynamic simulations in the material point method (MPM). To attenuate elastic waves leaving the computational domain, the current work…

Geophysics · Physics 2025-01-24 Jun Kurima , Bodhinanda Chandra , Kenichi Soga

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…

Numerical Analysis · Mathematics 2025-08-22 Mian Xie , Pedro Navas , Susana Lopez-Querol

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…

Numerical Analysis · Mathematics 2024-07-09 Brent Sordo , Ellen Rathje , Krishna Kumar

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…

Geophysics · Physics 2022-06-16 Brent Sordo , Ellen Rathje , Krishna Kumar

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…

The material point method (MPM) is frequently used to simulate large deformations of nearly incompressible materials such as water, rubber, and undrained porous media. However, MPM solutions to nearly incompressible materials are…

Numerical Analysis · Mathematics 2024-10-29 Yidong Zhao , Chenfanfu Jiang , Jinhyun Choo

A number of recent studies have focused on developing surgical simulation platforms to train machine learning (ML) agents or models with synthetic data for surgical assistance. While existing platforms excel at tasks such as rigid body…

Robotics · Computer Science 2025-07-04 Yafei Ou , Mahdi Tavakoli

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…

Numerical Analysis · Mathematics 2023-03-03 Chihun Sung , Shyamini Kularathna , Krishna Kumar

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…

Computational Engineering, Finance, and Science · Computer Science 2026-03-17 Rahul Kumar Padhy , Aaditya Chandrasekhar , Krishnan Suresh

Impacts play a fundamental role in shaping the physical and chemical properties of the objects in our Solar System. Given the challenges in replicating such collisions through laboratory experiments, computer simulations are an important…

Earth and Planetary Astrophysics · Physics 2026-04-13 Christian Reinhardt , Sabina D. Raducan , Thomas Meier , Martin Jutzi , Joachim Stadel , Ravit Helled

Most research on the simulation of deformation and failure of metals has been and continues to be performed using the finite element method. However, the issues of mesh entanglement under large deformation, considerable complexity in…

Computational Physics · Physics 2012-01-13 Biswajit Banerjee

Shallow landslides pose a significant threat to people and infrastructure. While often modeled based on limit equilibrium analysis, finite or discrete elements, continuum particle-based approaches like the Material Point Method (MPM) have…

Geophysics · Physics 2023-01-18 Louis Guillet , Lars Blatny , Bertil Trottet , Johan Gaume

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…

Computational Engineering, Finance, and Science · Computer Science 2021-07-07 Aaron S. Baumgarten , Benjamin L. S. Couchman , Ken Kamrin

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…

Numerical Analysis · Mathematics 2020-02-27 Yidong Zhao , Jinhyun Choo
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