Mathematics Colloquium: Elastoplasticity Simulation with the Material Point Method

Wednesday, September 13 at 3:30pm to 4:30pm

Kaprielian Hall (KAP), 414
3620 South Vermont Avenue, Los Angeles, CA 90089

Joseph Teran, UCLA

Abstract:
Hyperelastic constitutive models describe a wide range of materials. Examples include biomechanical soft tissues like muscle, tendon, skin etc. Elastoplastic materials consisting of a hyperelastic constitutive model combined with a notion of stress constraint (or feasible stress region) describe an even wider range of materials. In these models, the elastic potential energy only increases with the elastic part of the deformation decomposition. The evolution of the plastic part is designed to satisfy the stress constraint. A very interesting class of these models arise from frictional contact considerations. I will discuss some of the mathematical aspects of these models and present some recent results and examples in computer graphics and virtual surgery applications. I will also talk about practical simulation of these materials with recent novel Material Point Methods (MPM).

 

Event Type

Lecture / Talk / Workshop

Campus

University Park Campus

Department

Mathematics

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