Damage Mechanics of Composite Materials: Constitutive Modeling and Computational Algorithms

Abstract : The present work is concerned with development of innovative damage mechanics models for constitutive modeling of modern composite materials. Special attention is focused on micromechanical damage theories to explain and model behavior of composites based on micromechanics and micro-geometry. In particular, basic studies are performed on the notion of isotropic and anisotropic damage variables in continuum damage mechanics. Furthermore, a micromechanical damage model is presented for uniaxially reinforced composites and is analytically derived based on micromechanical bi-material arc crack solutions. Finally, a novel three-dimensional statistical micromechanical theory is proposed to investigate the nonlinear behavior of microcrack-weakened brittle solids. The theory is fundamentally different from existing effective medium theories and deterministic microcrack interaction method.

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