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A CONSTITUTIVE MODEL FOR ELASTIC‐PLASTIC DEFORMATION UNDER CYCLIC MULTIAXIAL STRAINING
Author(s) -
Navarro A.,
Brown M. W.
Publication year - 1997
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/j.1460-2695.1997.tb00305.x
Subject(s) - stress space , constitutive equation , hardening (computing) , plasticity , mathematics , scalar (mathematics) , strain hardening exponent , mathematical analysis , materials science , structural engineering , geometry , composite material , engineering , finite element method , layer (electronics)
— The yield criterion is interpreted as defining the metric of the stress space. Hydrostatic stresses correspond to null geodesies. The plastic strain increment represents a normal projection of the increment undergone by a certain scalar function (hardening function) which depends only on the distance between stress points. This establishes a flow rule formally equivalent to the Prandtl‐Reuss equations. Consideration of un‐loading processes leads to the analysis of equivalent paths and to the definition of a generalized length or separation which provides a new representation of kinematic hardening.