MPM and ALE Simulations of Large Deformations Geotechnics Instability Problems

Abstract

Problems involving large deformations are the focus of numerical modeling researches in recent decades due to the challenge of finding a kinematic appropriate description of the continuum. In recent years, different formulations have been used to describe such problems as the Arbitrary Lagrangian Eulerian (ALE) method and the Material Point Method (MPM). These two methods allow to perform dynamic analyzes involving large deformations. In this way, this work aims to present a comparison of problems applied to Geotechnics involving large deformations and large displacements, using MPM and FEM associated with the ALE method. For this purpose, three problems are simulated: sliding of blocks on an inclined plane, runout process of sand and instability of a slope using the MPM and the FEM associated with the ALE method. In all cases a comparison of the results is presented, and the advantages and disadvantages of each method are discussed.

Keywords

• Large Deformations
• Material Point Method
• Finite Element Method
• Arbitrary Lagrangian Eulerian