Quasistatic crack growth in finite elasticity with non-interpenetration
Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 1, pp. 257-290

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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.

DOI : 10.1016/j.anihpc.2009.09.006
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
@article{AIHPC_2010__27_1_257_0,
     author = {Dal Maso, Gianni and Lazzaroni, Giuliano},
     title = {Quasistatic crack growth in finite elasticity with non-interpenetration},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {257--290},
     publisher = {Elsevier},
     volume = {27},
     number = {1},
     year = {2010},
     doi = {10.1016/j.anihpc.2009.09.006},
     mrnumber = {2580510},
     zbl = {1188.35205},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2009.09.006/}
}
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Dal Maso, Gianni; Lazzaroni, Giuliano. Quasistatic crack growth in finite elasticity with non-interpenetration. Annales de l'I.H.P. Analyse non linéaire, Tome 27 (2010) no. 1, pp. 257-290. doi: 10.1016/j.anihpc.2009.09.006

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