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Maximum friction law in plasticity
Author(s) -
Alexandrov Sergei
Publication year - 2006
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200610156
Subject(s) - constitutive equation , singularity , plasticity , cauchy stress tensor , boundary value problem , shear stress , tensor (intrinsic definition) , boundary (topology) , stress (linguistics) , maximum principle , mathematics , law , mechanics , classical mechanics , mathematical analysis , materials science , physics , engineering , geometry , structural engineering , mathematical optimization , finite element method , philosophy , composite material , linguistics , political science , optimal control
The maximum friction law postulates that the friction stress is equal to the maximum possible shear stress admissible by the constitutive equations. The boundary value problems including the maximum friction stress as a boundary condition reveal special mathematical features which are of interest in the development of theories and models, numerical simulation and engineering applications. The present paper shortly reviews the singularity in velocity fields that can occur in the vicinity of maximum friction surfaces. A large class of rigid plastic (in a broad sense that the elastic portion of the strain rate tensor is neglected) is considered. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)