Abstract The configurational force concept is known to describe adequately the crack driving force in linear fracture mechanics. It is unclear however, if and how the crack driving force can be defined in the case of elastic-plastic material properties. In metal plasticity, many 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 non-linear isotropic and kinematic hardening on the response of the configurational forces and to provide suitable concepts for the thermodynamic description of elastic-plastic fracture problems. Further, the applicability of the shown concepts is discussed.

中文翻译：

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循环金属塑性中的构型力和 J 积分

摘要 已知构型力概念可以充分描述线性断裂力学中的裂纹驱动力。然而，尚不清楚在弹塑性材料特性的情况下是否以及如何定义裂纹驱动力。在金属塑性方面，当施加足够大的载荷时，许多材料会表现出硬化效应。具有各向同性和运动硬化的 Von Mises 屈服函数是许多模型中的常见假设。每当应用循环加载历史时，运动学和各向同性硬化变得非常重要。无论引起的变形是均匀的还是非均匀的，这都同样适用。本文的目的是讨论非线性各向同性和运动硬化对构型力响应的影响，并为弹塑性断裂问题的热力学描述提供合适的概念。此外，讨论了所示概念的适用性。