A Practical Method for Animating Anisotropic Elastoplastic Materials

Abstract

This paper introduces a simple method for simulating highly anisotropic elastoplastic material behaviors like the dissolution of fibrous phenomena (splintering wood, shredding bales of hay) and materials composed of large numbers of irregularly‐shaped bodies (piles of twigs, pencils, or cards). We introduce a simple transformation of the anisotropic problem into an equivalent isotropic one, and we solve this new “fictitious” isotropic problem using an existing simulator based on the material point method. Our approach results in minimal changes to existing simulators, and it allows us to re‐use popular isotropic plasticity models like the Drucker‐Prager yield criterion instead of inventing new anisotropic plasticity models for every phenomenon we wish to simulate.

A momentum-conserving implicit material point method for surface tension with contact angles and spatial gradients

“…Hyde et al [2020] provide a thorough discussion of the state of the art. Our approach utilizes the particle-based MPM [ de Vaucorbeil et al 2020;Sulsky et al 1994] PIC technique, largely due to its natural ability to handle self collision [Fei et al 2018[Fei et al , 2017Guo et al 2018;, topology change Wolper et al 2020Wolper et al , 2019, diverse materials [Daviet and Bertails-Descoubes 2016;Klár et al 2016;Ram et al 2015;Schreck and Wojtan 2020;Stomakhin et al 2013;Wang et al 2020c;Yue et al 2015] as well as implicit time stepping with elasticity Fei et al 2018;Stomakhin et al 2013;Wang et al 2020b]. We additionally use the APIC method [Fu et al 2017;Jiang et al 2015 for its conservation properties and beneficial suppression of noise.…”

A Momentum-Conserving Implicit Material Point Method for Surface Energies with Spatial Gradients

“…Hyde et al [2020] provide a thorough discussion of the state of the art. Our approach utilizes the particle-based MPM [ de Vaucorbeil et al 2020;Sulsky et al 1994] PIC technique, largely due to its natural ability to handle self collision [Fei et al 2018[Fei et al , 2017Guo et al 2018;, topology change Wolper et al 2020Wolper et al , 2019, diverse materials [Daviet and Bertails-Descoubes 2016;Klár et al 2016;Ram et al 2015;Schreck and Wojtan 2020;Stomakhin et al 2013;Wang et al 2020c;Yue et al 2015] as well as implicit time stepping with elasticity Fei et al 2018;Stomakhin et al 2013;Wang et al 2020b]. We additionally use the APIC method [Fu et al 2017;Jiang et al 2015 for its conservation properties and beneficial suppression of noise.…”

A Depth-Averaged Material Point Method for Shallow Landslides: Applications to Snow Slab Avalanche Release

“…MPM is a Eulerian-Lagrangian particle-based method initially developed by Sulsky et al (1994). Due to its ability to handle processes including large deformations, fractures and collisions, this elegant hybrid method found great interest over the last two decades, both in geomechanics, e.g., for the modeling of fluid-structure interaction (York II et al, 2000), porous media micromechanics (Blatny et al, 2021(Blatny et al, , 2022, granular flows (Dunatunga & Kamrin, 2015), snow avalanche release (Gaume et al, 2019;Trottet et al, 2022), snow avalanche dynamics (Li et al, 2021), glacier calving (Wolper et al, 2021), debris flows (Vicari et al, 2022), landslides (Soga et al, 2016 and rockslides (Cicoira et al, 2022), as well as in computer graphics (Stomakhin et al, 2013;Jiang et al, 2016;Schreck & Wojtan, 2020;Daviet & Bertails-Descoubes, 2016). After its first application to snow slab avalanches, Gaume et al (2019) analysed crack propagation and slab fracture patterns and reported crack speeds above 100 m/s on steep terrain.…”