Effect of the shape of pressure-dependent yield surfaces on solution behaviour near frictional interfaces

S. Alexandrov, C. Y. Kuo, Yeau-Ren Jeng

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The main objective of the present paper is to demonstrate, by means of a problem permitting a semi-analytical solution, the effect of the shape of pressure-dependent yield surfaces on qualitative behaviour of rigid plastic solutions in the vicinity of frictional interfaces. The yield criterion used reduces to the classical Coulomb-Mohr yield criterion at specific values of input parameters and, therefore, can be further reduced to the classical Tresca yield criterion. The solution is singular (some components of the strain rate tensor approach infinity) in the vicinity of the maximum friction surface at sliding if the system of equations is hyperbolic. The dependence of the strain rate intensity factor on input parameters of the double-slip and rotation model based on quite a general plane-strain yield criterion is found, and its consequence on some physical processes in a narrow material layer near frictional interfaces is discussed.

Original languageEnglish
Pages (from-to)143-152
Number of pages10
JournalJournal of Engineering Mathematics
Volume79
Issue number1
DOIs
Publication statusPublished - 2013 Apr 1

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Strain rate
Dependent
Strain Rate
Tensors
Friction
Plastics
Intensity Factor
Qualitative Behavior
Plane Strain
Physical process
Slip
System of equations
Analytical Solution
Tensor
Infinity
Model-based
Demonstrate

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Engineering(all)

Cite this

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Effect of the shape of pressure-dependent yield surfaces on solution behaviour near frictional interfaces. / Alexandrov, S.; Kuo, C. Y.; Jeng, Yeau-Ren.

In: Journal of Engineering Mathematics, Vol. 79, No. 1, 01.04.2013, p. 143-152.

Research output: Contribution to journalArticle

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