Gradient-extended brittle damage modeling

Abstract

An elastic-brittle anisotropic model is presented based on the work by Fassin et al. (2019a). After discussing the local model equations and the incorporation of crack-closure, the gradient extension using the micromorphic approach according to Forest (2009) is briefly summarized. In order to run unit cell simulations on the microlevel, relevant material parameters have to be identified. Therefore, the energy dissipation provides a differential equation with a linear and quadratic term for the damage variable. Finally, the isotropic damage model is used to show numerical examples with variation of fracture toughness and volume fraction of pores.