This dissertation is concerned with the development of a robust three-dimensional finite-element framework for the simulation of complex problems in mechanics and physics of solids. This approach is intended to shine light on impact and erosion mechanisms among other multiscale, multiphysics problems. The components of the computational framework are a contact algorithm including friction, wear, finite deformation plasticity, heat generation, heat transfer, and adaptive meshing coupled with error estimation. The adaptive meshing is a key development that enhances the efficiency and robustness of the method. We demonstrate the ability of the methodology to simulate diverse problems such as shear banding, impact, and wear.
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Three dimensional finite element analysis of impact damage and erosion of metallic targets