A Compliant Visco-Plastic Particle Contact Model Based on Differential Variational Inequalities

TitleA Compliant Visco-Plastic Particle Contact Model Based on Differential Variational Inequalities
Publication TypeJournal Article
Year of Publication2013
AuthorsTasora, A, Anitescu, M, Negrini, S, Negrut, D
JournalInternational Journal of Non-Linear Mechanics
Volume53
Start Page2-12
Date Published07/2013
Other NumbersANL/MCS-P4013-0113
Abstract

This work describes an approach to simulate contacts between three-dimensional shapes with compliance and damping using the framework of the differential variational inequality theory. Within the context of nonsmooth dynamics, we introduce an extension to the classical set-valued model for frictional contacts between rigid bodies, allowing contacts to experience local compliance, viscosity, and plasticization. Different types of yield surfaces can be defined for various types of contact, a versatile approach that contains the classic dry Coulomb friction as a special case. The resulting problem is a differential variational inequality that can be solved, at each integration time step, as a variational inequality over a convex set.

URLhttp://www.sciencedirect.com/science/article/pii/S0020746213000127
PDFhttp://www.mcs.anl.gov/papers/P4013-0113.pdf