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The physics of plastic deformation. (English) Zbl 0616.73106

A simplified physical picture is extracted from the many complicated processes occurring during plastic deformation. It is based upon a set of continuously distributed straight edge dislocations, the carriers of plastic deformation, moving along their slip plane, interacting with each other and the lattice, multiplying and annihilating. The principles of continuum physics, that is the conservation laws of mass and momentum, and results from discrete dislocation modelling are then employed to analyze the situation and deduce a closed set of relations describing the evolution of deformation and the associated forces that bring it about. A simple method is suggested for extending these relations to macroscales. This way, current phenomenological models of plasticity are physically substantiated. Moreover, a framework is provided for rigorously constructing small and large deformation theories of plasticity. Finally, a new possibility is made available for capturing the salient features of the heterogeneity of plastic flow including the wavelength of persistent slip bands, the width of shear bands, and the velocity of Portevin-Le Chatelier bands.

MSC:

74A60 Micromechanical theories
74M25 Micromechanics of solids
74C99 Plastic materials, materials of stress-rate and internal-variable type
74B99 Elastic materials
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
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