A discussion on failure criteria for ordinary state-based peridynamics

Abstract Peridynamics is a recently proposed nonlocal theory of continuum particularly suitable to describe fracture mechanics, since it employs an integral formulation which remains valid whenever discontinuities are present. In this paper, mixed-mode fracture cases are taken into consideration to numerically evaluate three failure criteria of the nonlocal interaction, called bond, between two material particles. These criteria are related to the maximum stretch of a bond or to the maximum energy that can be stored in a deformed bond. Their advantages and shortcomings are presented and discussed.