A compliant visco-plastic particle contact model based on differential variational inequalities

作者：Tasora A^*; Anitescu M; Negrini S; Negrut D

来源：International Journal of Non-Linear Mechanics, 2013, 53: 2-12.

DOI：10.1016/j.ijnonlinmec.2013.01.010

• Variational inequalities
• Contacts
• Plasticity
• Friction

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 non-smooth 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.

• 出版日期2013-7