A framework for damage modeling in multi-constituent laminated materials

Abstract

This work contains analysis of directionally oriented material with heterogeneity across the spacial domain, between materials, and over time. Composite material containing directionally oriented material have become a necessity in the world of structural, mechanical, aerospace, and material engineering design. To account for the thermomechanical curing processes that these materials undergo when dealing with highly heterogeneous materials can cause deformation and eventually damage to the overall structure of the material. There are two methods discussed throughout the document: mixture theory to discuss the evolving curing and thermal effects on the structural behavior of a fiber reinforced laminate structure and a Discontinuous Galerkin method with return mapping algorithms to allow for damage when undergoing large deformation to be analyzed along the interface of heterogeneous materials. These two methods are collectively used to find weaknesses and faults in newly discovered fibrous and directionally oriented materials.