A note on crack propagation paths inside elastic bodies

作者：Khludnev A M; Shcherbakov V V^*

来源：Applied Mathematics Letters, 2018, 79: 80-84.

DOI：10.1016/j.aml.2017.11.023

• Energy release rate
• Griffith energy criterion
• Crack propagation path
• Variational inequality

The note is concerned with a model of linear elastostatics for a two-dimensional inhomogeneous anisotropic body weakened by a single straight crack. On the crack faces, nonpenetration conditions/Signorini conditions are imposed. Relying upon a higher regularity result in Besov spaces for the displacement field in a neighborhood of the crack tip, we prove that the energy release rate is actually independent of the choice of a subsequent crack path (among the possible continuations of class H-3).

• 出版日期2018-5