Papers by Keyword: Configurational Force

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Authors: Werner Daves, Wei Ping Yao, Stephan Scheriau
Abstract: Surface cracks arising during rolling sliding contact of a wheel and a rail are investigated. A two-dimensional crack model is proposed which calculates the crack driving force using the configurational force concept. The numerical applicability of the configurational force concept for surface shear cracks under cyclic contact loading is discussed and compared to the J-integral concept. A single inclined crack in a rail loaded by an accelerated wheel is investigated. The material of the rail is described by a cyclic plastic kinematic hardening model. The evolution of the crack driving force during several cycles is investigated.
Authors: Henning Schütte
Abstract: A numerical scheme is presented to predict crack trajectories in three dimensional components. First a relation between the curvature in mixed-mode crack propagation and the corresponding configurational forces based on the principle of maximum dissipation is reviewed. With the help of this, a numerical scheme is presented which is based on a predictor-corrector method using the configurational forces acting on the crack together with their derivatives along real and test paths. It is outlined how to extend the approach to three dimensional problems. With the help of this scheme it is possible to take bigger than usual propagation steps, represented by splines. Essential for this approach is the correct numerical determination of the configurational forces acting on the crack tip. An approach valid for arbitrary non-homogenous and non-linear materials with mixed-mode cracks is presented. Numerical examples show, that the method is able to predict the crack paths in components with holes, stiffeners etc. with good accuracy, saving much computational effort.
Authors: R. Schöngrundner, Otmar Kolednik, Franz Dieter Fischer
Abstract: This paper deals with the determination of the crack driving force in elastic-plastic materials and its correlation with the J-Integral approach. In a real elastic-plastic material, the conventional J-integral cannot describe the crack driving force. This problem has been solved in Simha et al. [1], where the configurational force approach was used to evaluate in a new way the J-integral under incremental plasticity conditions. The crack driving force in a homogeneous elastic-plastic material, Jtip, is given by the sum of the nominally applied far-field crack driving force, Jfar, and the plasticity influence term, Cp, which accounts for the shielding or anti-shielding effect of plasticity. In this study, the incremental plasticity J-integral and the crack driving force are considered for a stationary and a growing crack.
Authors: Guang Wu Wang, Zhen Liu, Jun Zhang
Abstract: In this paper, we study the finite difference solutions for two new models of phase transitions driven by configurational force. These models are recently proposed by Alber and Zhu in [2]. The first model describes the diffusionless phase transitions of solid materials, e.g., Steel. The second model describes phase transitions due to interface motion by interface diffusion, e.g., Sintering. We consider both the order-parameter-conserved case and the non-conserved one, under suitable assumptions. Also we compare the results of these two models with the corresponding ones for the Allen-Cahn and Cahn-Hilliard equations. Finally, some results about tending to zero are given.
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