Anisotropic Mesh Adaptation for Crack Detection In Brittle Materials
نویسندگان
چکیده
منابع مشابه
Anisotropic Mesh Adaptation for Crack Detection In Brittle Materials
The quasistatic brittle fracture model proposed by G. Francfort and J.-J. Marigo can be Γ-approximated at each time evolution step by the Ambrosio-Tortorelli functional. In this paper, we focus on a modification of this functional which includes additional constraints via penalty terms to enforce the irreversibility of the fracture as well as the applied displacement field. Secondly, we build o...
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The numerical simulation of quasistatic fracturing of brittle material, where no predefined crack path is imposed, is a challenging problem. In particular, we deal with the Francfort-Marigo model which requires the minimization of the well-known nonconvex and nonsmooth Mumford-Shah functional. To deal with a smoother problem which eases the minimization process of the energy, we consider the Γ-...
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2015
ISSN: 1064-8275,1095-7197
DOI: 10.1137/140970495