A gap element for treating non-matching discrete interfaces

Abstract

A family of gap elements are developed for treating non-matching interfaces occurring in partitioned analysis of mechanical systems. The proposed gap elements preserve linear and angular momentum and can be specialized to equivalent dual mortar methods, if desired. The proposed gap elements continue to be applicable when the interface gaps disappear, i.e., for flat interface surfaces and are free of energy injection or dissipation. Two dimensional numerical examples are offered to illustrate the basic features of the present gap elements.