A new method for embedding predefined interfaces in finite elements

Abstract

A new method for embedding predefined interfaces within an arbitrary finite element mesh is proposed and demonstrated. The algorithm for generating these predefined surfaces is detailed and subsequently applied to, but by no means limited to, masonry problems to demonstrate its efficacy. Within a given finite element, the initiation of fracture or slippage may occur simultaneously along a predefined interface and in the bulk of the element. In order to determine which surface is critical, we feature a criterion which aids in determining the correct surface upon which all further slippage due to fracture will occur. This interface method is cast in the framework of an enhanced strain finite element which is capable of capturing softening along an embedded strong discontinuity.