TY - JOUR

T1 - Effect of the shape of pressure-dependent yield surfaces on solution behaviour near frictional interfaces

AU - Alexandrov, S.

AU - Kuo, C. Y.

AU - Jeng, Y. R.

N1 - Funding Information:
Acknowledgments The main part of this work was done while the first author was with National Chung Cheng University (Taiwan) as a research scholar under the recruitment program supported by the National Science Council of Taiwan (contact 99-2811-E-194-009). This research was made possible by grants RFBR 11-01-00987 and GK no. 11.519.11.3015.
Copyright:
Copyright 2013 Elsevier B.V., All rights reserved.

PY - 2013/4

Y1 - 2013/4

N2 - 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.

AB - 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.

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U2 - 10.1007/s10665-012-9561-1

DO - 10.1007/s10665-012-9561-1

M3 - Article

AN - SCOPUS:84874572268

VL - 79

SP - 143

EP - 152

JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

SN - 0022-0833

IS - 1

ER -