Quasistatic crack growth in finite elasticity with non-interpenetration

Dal Maso, Gianni; Lazzaroni, Giuliano

Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 1, pp. 257-290

We present a variational model to study the quasistatic growth of brittle cracks in hyperelastic materials, in the framework of finite elasticity, taking into account the non-interpenetration condition.

Classification : 35R35, 74R10, 74B20, 49J45, 49Q20, 35A35, 28B20
Keywords: Variational models, Energy minimization, Free-discontinuity problems, Polyconvexity, Quasistatic evolution, Rate-independent processes, Brittle fracture, Crack propagation, Griffith's criterion, Finite elasticity, Non-interpenetration

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