Multiscale crack band model for eigenstrain based reduced order homogenization

A multiscale crack band model is proposed to alleviate spurious mesh size dependence in the solution for a strain softening constitutive model. A continuum damage mechanics-based material model for the constituent phases of a carbon fiber reinforced polymer (CFRP) based composite material is applied to the Eigenstrain based Reduced-order Homogenization framework for multiscale modeling. This paper presents the formulation and demonstrates dissipated energy regularization within the multiscale modeling framework. A key contribution is computationally efficient implementation of multiscale crack band model as user defined subroutine for the commercial software Abaqus. The accuracy of the multiscale crack band model is demonstrated by critical evaluation of the numerical results for CFRP laminates.