Adaptive phase field simulation of quasi-static crack propagation in rocks
نویسندگان
چکیده
منابع مشابه
Quasi-Static Crack Propagation by Griffith’s Criterion
We consider the propagation of a crack in a brittle material along a prescribed crack path and define a quasi-static evolution by means of stationary points of the free energy. We show that this evolution satisfies Griffith’s criterion in a suitable form which takes into account both stable and unstable propagation, as well as an energy balance formula which accounts for dissipation in the unst...
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On the base of many experimental results, e.g. [18], [19], [21], [12], the object of our analysis is a rate-dependent model for the propagation of a crack in brittle materials. Our goal is a mathematical study of the evolution equation in the geometries of the ’Single Edge Notch Tension’ (SENT) and of the ’Compact Tension’ (ASTM-CT). Besides existence and uniqueness, emphasis is placed on the r...
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Finite element method (FEM) is one of the most famous methods which has many applications in varies studies such as the study of crack propagation in engineering structures. However, unless extremely fine meshes are employed, problem arises in accurately modelling the singular stress field in the singular element area around the crack tip. In the present study, the crack growth simulation has b...
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ژورنال
عنوان ژورنال: Underground Space
سال: 2018
ISSN: 2467-9674
DOI: 10.1016/j.undsp.2018.04.006