Abstract
The constitutive laws required in a finite deformation (mechanical) theory of plasticity to describe elastic response, yield, and plastic flow are discussed. Even strong restrictions on the history dependence and the assumption of material isotropy leave a model considerably more general than the customary extensions of infinitesimal strain theory. The absence of rotation in triaxial stress systems provides further simplification, and the material functions which, in principle, could be inferred by a complete program of triaxial stress tests are described, together with a reduced set determined by biaxial tests. Equations of motion for uniaxial strain and for polar symmetry are derived, and matching conditions at an elastic-plastic interface are obtained for the six distinct ranges of propagation speed.
Published Version
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