Damage-to-fracture transition through an Eikonal Non-Local (ENL) continuum damage formulation with embedded strong discontinuities

Abstract

The Eikonal Non-Local damage model (ENL) is an integral-based regularization method with damage-dependent non-local interactions. This contribution introduces the transition from an ENL formulation to a strong discontinuity model in a one-dimensional case. By introducing the formation of a cohesive crack in highly damaged areas, this new formulation seeks to solve problems of objectivity of results with respect to the mesh size for regularization methods with evolution of non-local interactions leading to strain localization.