Abstract

The mechanical behavior of metal matrix composites (MMCs) varies significantly under rapid straining as compared to quasi-static loading and is often dominated by underlying microstructural features (grain structure, porosity, inclusions, and defects). Analysis of the behavior of MMCs under dynamic loading requires theoretical and experimental approaches that integrate the strain rate and microstructural effects. In this article, we introduce a multiresolution modeling capability for studying nonlinear planar wave propagation in heterogeneous materials with an application to MMCs. This framework is based on direct numerical simulation (DNS) and compared to an upscaled microcontinuum model. The DNS explicitly accounts for microstructural features characterizing the materials and is based on a combination of a crystal plasticity formulation for the behavior of the host matrix and the Johnson–Holmquist model for the particulate reinforcements. The nonuniformity of the wave propagating through MMCs is spatially resolved. The results from the mesoscale DNS are used to inform a microcontinuum model that introduces richer kinematics to account for microstructural features without explicitly modeling them and with far fewer total degrees of freedom. A quantitative comparison of the reduced degrees of freedom model against DNS is performed and enables us to draw conclusions on the predictive capability of the microcontinuum model to study the dynamic response of heterogeneous materials.

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