Dawson, Paul R. Computational crystal plasticity. (English) Zbl 1075.74021 Int. J. Solids Struct. 37, No. 1-2, 115-130 (2000). Summary: To better predict material response associated with plastic deformations, plasticity models for behaviors over an extensive range of length scales are being combined to give a more comprehensive representation of the material. The breadth of the length scales naturally enters a more complete material description through the influences that features of the structure of many sizes have on the mechanical responses. The effective inclusion of material structure in simulations is pushing applied plasticity toward more highly quantitative implementations. Computed costs are greater in many respects, but the potential rewards are simulations with much greater relevance to current engineering applications. The focus of this paper is on a number of trends and issues related to these implementations and their use. In particular, we examine the methodologies for describing material structure at multiple scales within the context of simulation and discuss techniques used to compute properties and to evolve the state based on features of the structure. Cited in 7 Documents MSC: 74C99 Plastic materials, materials of stress-rate and internal-variable type 74S99 Numerical and other methods in solid mechanics 74E15 Crystalline structure 74-02 Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids PDFBibTeX XMLCite \textit{P. R. Dawson}, Int. J. Solids Struct. 37, No. 1--2, 115--130 (2000; Zbl 1075.74021) Full Text: DOI