A new method for embedding predefined interfaces in finite elements

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. •An enhanced finite element is developed for discontinuities that may propagate along existing weak interfaces or through the bulk material.•Discontinuities can be tracked from the bulk material to the existing weak interfaces and back.•A Barycentric Technique is used to embed the predefine interfaces in the mesh.•The model incorporates a previously developed formulation that accounts for interaction in mixed-mode fracture as well as frictional sliding.•The algorithm is shown to be effective in examples such as earth masonry where localization can occur both at interfaces and through bulk material.