### 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 language | English |
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Pages (from-to) | 143-152 |

Number of pages | 10 |

Journal | Journal of Engineering Mathematics |

Volume | 79 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2013 Apr 1 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Engineering(all)

### Cite this

*Journal of Engineering Mathematics*,

*79*(1), 143-152. https://doi.org/10.1007/s10665-012-9561-1

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*Journal of Engineering Mathematics*, vol. 79, no. 1, pp. 143-152. https://doi.org/10.1007/s10665-012-9561-1

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

Research output: Contribution to journal › Article

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, Yeau-Ren

PY - 2013/4/1

Y1 - 2013/4/1

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.

UR - http://www.scopus.com/inward/record.url?scp=84874572268&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84874572268&partnerID=8YFLogxK

U2 - 10.1007/s10665-012-9561-1

DO - 10.1007/s10665-012-9561-1

M3 - Article

VL - 79

SP - 143

EP - 152

JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

SN - 0022-0833

IS - 1

ER -