Dimension reduction of a crack evolution problem in a linearly elastic plate

被引：15
作者：
Freddi, Lorenzo [1 ]
Paroni, Roberto [2 ]
Zanini, Chiara [1 ]
机构：
[1] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy
[2] Univ Sassari, Dipartimento Architettura & Pianificaz, I-07041 Alghero, Italy
来源：
ASYMPTOTIC ANALYSIS | 2010年 / 70卷 / 1-2期
关键词：
dimension reduction; rate-independent processes; crack evolution; linear elasticity; FRACTURE; ENERGIES; GROWTH; MODELS;
D O I：
10.3233/ASY-2010-1003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A two-dimensional model which describes the evolution of a crack in a plate is deduced from a three-dimensional linearly elastic Griffith's type model. The result is achieved by adopting the framework of energetic solutions for rate-independent processes, to model three-dimensional fracture evolution, in conjunction with a variational dimension reduction procedure.
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页码：101 / 123
页数：23
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