Abstract
Current knowledge in the subject of the theoretical mechanical behaviour of perfect single crystals under load is reviewed. Examples of computations of load, lattice deformation, elastic moduli, and elastic stability are discussed, and qualitatively interesting (and sometimes surprising) phenomena are noted. Although computational techniques are reviewed briefly, the emphasis is upon the collation and interpretation of various computational results that have appeared in the literature. Special consideration is given to the topics of lattice stability and the definition and computation of elastic moduli of crystals under load, as well as branching from one path of deformation to another under a prescribed mode of loading. Possible applications in materials science include deformation of whiskers, twinning, martensitic transformations, very rapid shock deformation, powder technology and size reduction, and mechanical properties of small structures such as metallized integrated circuits.
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Milstein, F. Theoretical elastic behaviour of crystals at large strains. J Mater Sci 15, 1071–1084 (1980). https://doi.org/10.1007/BF00551795
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DOI: https://doi.org/10.1007/BF00551795