Abstract
The configurational force concept is known to describe adequately the crack driving force in linear fracture mechanics. It seems to represent the crack driving force also for the case of elastic-plastic material properties. The latter has been recognized on the basis of thermodynamical considerations. In metal plasticity, real materials exhibit hardening effects when sufficiently large loads are applied. Von Mises yield function with isotropic and kinematic hardening is a common assumption in many models. Kinematic and isotropic hardening turn out to be very important whenever cyclic loading histories are applied. This holds equally regardless of whether the induced deformations are homogeneous or non-homogeneous. The aim of the present paper is to discuss the effect of nonlinear isotropic and kinematic hardening on the response of the configurational forces and related parameters in elastic-plastic fracture problems.
Highlights
There are two possible approaches to introduce configurational forces and associated fundamental equations
Thermodynamical considerations in the framework of linear elastic fracture mechanics allow to interpret the configurational forces as crack driving forces and to establish an equivalent relation to the classical J-integral
The interesting property of configurational forces is, that they can be defined irrespective of the underlying material properties, implying their existence for the case of elasto-plasticity. It has been argued in [8, 9] that a counterpart of the classical J-integral can be introduced in plasticity on the basis of the configurational force concept
Summary
There are two possible approaches to introduce configurational forces and associated fundamental equations. Thermodynamical considerations in the framework of linear elastic fracture mechanics allow to interpret the configurational forces as crack driving forces and to establish an equivalent relation to the classical J-integral It is worth mentioning, that, the use of the classical J-integral concept in elasto-plasticity restricted to special cases. The interesting property of configurational forces is, that they can be defined irrespective of the underlying material properties, implying their existence for the case of elasto-plasticity. It has been argued in [8, 9] that a counterpart of the classical J-integral can be introduced in plasticity on the basis of the configurational force concept. The paper aims to highlight such issues with reference to the Chaboche plasticity model
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