Finite elements with embedded multiple cracks and non-uniform discontinuity modes

Abstract

Recently, several formulations of finite elements embedded with displacement discontinuity have been proposed to describe crack propagation independent of the element boundaries. By construction, these approaches are limited to represent a single crack in the element with uniform discontinuity modes (opening and sliding). This paper presents a procedure to embed displacement discontinuities in quadrilateral finite elements that is suitable for incorporating multiple discontinuities or non-uniform discontinuity modes. These capabilities may be essential to predict failure in reinforced concrete. Basic tests are performed to access the effectiveness of the proposed technique.