Formulation of a triangular finite element with an embedded interface via isoparametric mapping

This paper presents the formulation of a triangular finite element with an embedded interface, designed for the simulation of discrete crack propagati on processes. The element is developed within a displacement-based framewor k. Linear interpolation of the displacement discontinuities along the inter nal interface is assumed in order to ensure compatibility across inter-elem ent boundaries. The proper representation of the rigid body motions and the solvability of the discretised version of the mechanical problem in point are specifically addressed. Finally, the element performance is illustrated through comparison with some alternative proposals.