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
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/}
}
TY - JOUR AU - Dal Maso, Gianni AU - Lazzaroni, Giuliano TI - Quasistatic crack growth in finite elasticity with non-interpenetration JO - Annales de l'I.H.P. Analyse non linéaire PY - 2010 SP - 257 EP - 290 VL - 27 IS - 1 PB - Elsevier UR - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2009.09.006/ DO - 10.1016/j.anihpc.2009.09.006 LA - en ID - AIHPC_2010__27_1_257_0 ER -
%0 Journal Article %A Dal Maso, Gianni %A Lazzaroni, Giuliano %T Quasistatic crack growth in finite elasticity with non-interpenetration %J Annales de l'I.H.P. Analyse non linéaire %D 2010 %P 257-290 %V 27 %N 1 %I Elsevier %U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2009.09.006/ %R 10.1016/j.anihpc.2009.09.006 %G en %F AIHPC_2010__27_1_257_0
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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