Eigendeformation-based reduced order homogenization for failure analysis of heterogeneous materials

The manuscript presents a novel model reduction approach for periodic heterogeneous media, which combines the multiple scale asymptotic (MSA) expansion method with the transformation field analysis (TFA) to reduce the computational cost of a direct homogenization approach without significantly compromising on solution accuracy. The evolution of failure in micro-phases and interfaces is modeled using eigendeformation. Adaptive model improvement strategy incorporating a hierarchical sequence of computational homogenization models is employed to control the accuracy of the model. We present the model formulation and the computational details along with verification (with respect to direct homogenization) and validation (with respect to physical experiments) studies.