The central goal of this series of lectures is to provide an overview of the current knowledge and recent developments in the field with applications spanning multiple length scales and strain-rate regimes. Emphasis is placed on providing a rigorous framework for description of dissipative phenomena, a clear understanding of the hypotheses and simplifying assumptions for each of the constitutive models and computational methods presented. Specifically, for each model, the range of applicability, and limitations are provided along with examples of their predictive capabilities through applications from various engineering fields. Furthermore, open questions related to modeling of plastic deformation mechanisms at the single crystal scale, role of the material’s symmetries, how plastic anisotropy affects damage are pointed out and possible future directions of research and applications are provided. Attention is also paid to the interplay between plasticity and the evolution of ductile damage, which triggers the formation instabilities that eventually lead to material fracture. Finally, the importance of material microstructure at various length scales is discussed along with the impact of microstructure and its evolution on overall material behavior.

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