Computational Simulation of Discontinuous Failure Processes

Abstract

Our contribution examines discontinuous failure processes in quasi-static environments. To this end, we first discuss the loss of continuity in solids at the local level of material, and
subsequently at the global level of structural systems. These local and global failure indicators are formalized in terms of localization conditions that are illmrtrated with the aid of transformed Mohr stress coordinates.
For definiteness, the discontinuous failure process is illustrated with the example problem of a Drucker-Prager material that is used to describe the matrix behavior of a two-phase particle composite.For illustration, progressive failure in a representative compollite specimen is evaluated with regard to the respective energy absorption capacity in uniaxial compression.