Shear bands as surfaces of discontinuity

W. E. Olmstead; S. Nemat-Nasser; L. Ni

doi:10.1016/0022-5096(94)90059-0

Shear bands as surfaces of discontinuity

W. E. Olmstead^*, S. Nemat-Nasser, L. Ni

^*Corresponding author for this work

Engineering Sciences and Applied Mathematics

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	697-709
Number of pages	13
Journal	Journal of the Mechanics and Physics of Solids
Volume	42
Issue number	4
DOIs	https://doi.org/10.1016/0022-5096(94)90059-0
State	Published - Apr 1994

ASJC Scopus subject areas

Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1016/0022-5096(94)90059-0

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@article{13d01302901c494eb1813fa023462f15,

title = "Shear bands as surfaces of discontinuity",

abstract = "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.",

author = "Olmstead, {W. E.} and S. Nemat-Nasser and L. Ni",

note = "Funding Information: The authors would like to acknowledge the input of T. W. Wright and J. W. Walter through stimulating discussions about the phenomenon of shear bands in general, as well as various particular aspects of our approach presented here. This work was supported in part through the National Science Foundation NSF MSS90-2167I and AR0 contract DAAL 03-92-G-010 8 at the University of California, San Diego.",

year = "1994",

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doi = "10.1016/0022-5096(94)90059-0",

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AU - Olmstead, W. E.

AU - Nemat-Nasser, S.

AU - Ni, L.

N1 - Funding Information: The authors would like to acknowledge the input of T. W. Wright and J. W. Walter through stimulating discussions about the phenomenon of shear bands in general, as well as various particular aspects of our approach presented here. This work was supported in part through the National Science Foundation NSF MSS90-2167I and AR0 contract DAAL 03-92-G-010 8 at the University of California, San Diego.

PY - 1994/4

Y1 - 1994/4

N2 - 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.

AB - 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.

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JO - Journal of the Mechanics and Physics of Solids

JF - Journal of the Mechanics and Physics of Solids

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ER -

Shear bands as surfaces of discontinuity

Abstract

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