ENERGY RELEASE RATE AND QUASI-STATIC EVOLUTION VIA VANISHING VISCOSITY IN A FRACTURE MODEL DEPENDING ON THE CRACK OPENING

被引：27
|
作者：
Almi, Stefano [1 ]
机构：
[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy
来源：
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2017年 / 23卷 / 03期
关键词：
Variational models; free-discontinuity problems; energy release rate; energy derivative; cohesive fracture; crack propagation; quasi-static evolution; local minimizers; Griffith's criterion; vanishing viscosity; COHESIVE ZONE MODEL; PROPAGATION; GROWTH; HOMOGENIZATION; MINIMIZATION; SYSTEMS; LIMIT; PATH;
D O I：
10.1051/cocv/2016014
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In the setting of planar linearized elasticity, we study a fracture model depending on the crack opening. Assuming that the crack path is known a priori and sufficiently smooth, we prove that the energy release rate is well defined. Then, we consider the problem of quasi-static evolution for our model. Thanks to a vanishing viscosity approach, we show the existence of such an evolution satisfying a weak Griffith's criterion.
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页码：791 / 826
页数：36
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