Journal Article

A stabilized mixed implicit Material Point Method for non-linear incompressible solid mechanics

Rossi, R., Larese, A., Oñate, E., Iaconeta, I.

2019

Overview

In this work a stabilized mixed formulation for the solution of non-linear solid mechanics problems in nearly-incompressible conditions is presented. In order to deal with high material deformation, an implicit Material Point Method is chosen. Such choice allows avoiding the classical limitations of the Finite Element Method, e.g., element tangling and extreme mesh distortion. The proposed mixed formulation, with displacement and pressure as primary variables, is tested through classical benchmarks in solid and geo-mechanics where a Neo-Hookean, a J2 and a Mohr-Coulomb plastic law are employed. Further, the stabilized mixed formulation is compared with a displacement-based formulation to demonstrate how the proposed approach gets better results in terms of accuracy, not only when incompressible materials are simulated, but also in the case of compressible ones.

• Publisher: Springer Berlin Heidelberg,Springer,Springer Nature B.V
• Subject: Anàlisi numèrica / Classical and Continuum Physics / Compressibility / Computational fluid dynamics / Computational Science and Engineering / Computer simulation / Deformation / Engineering / Finite element method / Física / Física de l'estat sòlid / Matemàtiques i estadística / Materials / Mathematical models / Mechanical properties / Mechanics / Mètodes en elements finits / Mètodes numèrics / Original Paper / Particle methods Nonlinear Finite Element Method Implicit MPM Mixed formulation / Propietats mecàniques / Solid mechanics / Sòlids / Tangling / Theoretical and Applied Mechanics / Àrees temàtiques de la UPC