Shear bands as surfaces of discontinuity

A theoretical characterization of a shear band as a surface of discontinuity is developed. For the one-dimensional problem of unidirectional shearing of a slab, expressions for the jump discontinuities across a possible shear band are derived. This provides a simplified formulation of the problem, w...

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Bibliographic Details
Published in:Journal of the mechanics and physics of solids 1994-04, Vol.42 (4), p.697-709
Main Authors: Olmstead, W.E., Nemat-Nasser, S., Ni, L.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Physics
Solid mechanics
Structural and continuum mechanics
Viscoelasticity, plasticity, viscoplasticity
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Summary:A theoretical characterization of a shear band as a surface of discontinuity is developed. For the one-dimensional problem of unidirectional shearing of a slab, expressions for the jump discontinuities across a possible shear band are derived. This provides a simplified formulation of the problem, which yields a pair of equations for the evolution of stress and temperature along the surface representing the shear band. Two illustrative examples are examined.
ISSN:0022-5096
DOI:10.1016/0022-5096(94)90059-0