Models of failure in compression of layered materials

Abstract

Compressive failure of fibre reinforced or layered materials by fibre kinking, matrix splitting and fibre/matrix debonding is analysed. The main focus is on brittle matrix composites, however, the analysis of effects due to debonding is carried out in a general framework allowing for arbitrary time-independent plasticity of the layers. Fibre kinking and matrix splitting are regarded as competing failure modes with the conditions governing the active mode depending on the biaxial stress state in the composite and a combination of micro mechanical parameters. Two criteria for matrix splitting, and two models for the evolution of micro cracks in the matrix have been discussed.