A new semi-analytical method for the construction of auxiliary fields in the interaction integrals of 3-D LEFM
Résumé
The study of crack propagation is since a long time a crucial issue in research and industry ; there are ever increasing needs for robust and predictive simulation tools for cracking in three-dimensional, mixed-mode conditions. Global approaches (G) such as the G-θ method introduced by Destuynder [1], which consists in evaluating the derivative of the potential energy of the solution under a virtual crack extension modelled by a transformation velocity field θ, are very efficient because of their robustness. In particular, unlike local methods (K), they can be performed on meshes without special crack-front elements. However, the G-θ method evaluate the energy release rate G, which has for certain applications the disadvantage of mixing the fracture modes, i.e. the stress intensity factors (SIFs). Separation evaluation of each SIF is often useful or necessary, e.g. for the implementation of additional criteria predicting future kinking or curving of the crack(s).
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