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.

引用

页码：791 / 826

页数：36

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