Abstract
We present a phase-field approach that couples the representation of material heterogeneities with discontinuities in the displacement field to describe defects and damage evolution. This method in contrast to discrete models does not require topological changes in the mesh representation reducing the complexity in the implementation of the numerical simulation. Both defects and material inhomogeneities are described in terms of phase fields and their evolution and interaction follows from a set of analogous equations delivering a unified theory that couples the response of heterogeneous materials with displacement discontinuities seamlessly. We show the effectiveness of the model by predicting dislocation structures in a 3D periodic array of voids in nickel single crystal and the nucleation and evolution of crazes in polymethyl methacrylate.
Published Version
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