کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1896414 | 1044431 | 2010 | 15 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Crack growth in polyconvex materials Crack growth in polyconvex materials](/preview/png/1896414.png)
We discuss a model for crack propagation in an elastic body, where the crack path is described a priori. In particular, we develop in the framework of finite-strain elasticity a rate-independent model for crack evolution which is based on the Griffith fracture criterion. Due to the nonuniqueness of minimizing deformations, the energy-release rate is no longer continuous with respect to time and the position of the crack tip. Thus, the model is formulated in terms of the Clarke differential of the energy, generalizing the classical crack evolution models for elasticity with strictly convex energies. We prove the existence of solutions for our model and also the existence of special solutions, where only certain extremal points of the Clarke differential are allowed.
Journal: Physica D: Nonlinear Phenomena - Volume 239, Issue 15, 1 August 2010, Pages 1470–1484