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Second-order plasticity and the slip-line field

Authors
Journal
Journal of the Mechanics and Physics of Solids
0022-5096
Publisher
Elsevier
Publication Date
Volume
19
Issue
5
Identifiers
DOI: 10.1016/0022-5096(71)90011-1

Abstract

Abstract A second-order theory of plane plastic flow is developed. The equations for the second-order stresses are hyperbolic and the characteristics are the slip-lines of the classical theory. The characteristics for the second-order velocity field are also the slip-lines; and in both cases, simple sets of equations are found which determine the complete second-order solution of any problem for which the classical slip-line field analysis is available. Situations in which the second-order terms are likely to be important are discussed, and a punch indentation problem is solved as an illustrative example.

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