Existence and uniqueness of dynamic evolutions for a one-dimensional debonding model with damping

被引：4
|
作者：
Riva, Filippo [1 ]
Nardini, Lorenzo [2 ]
机构：
[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy
[2] GLI Europe, Diakenhuisweg 39-35, NL-2033 AP Haarlem, Netherlands
来源：
JOURNAL OF EVOLUTION EQUATIONS | 2021年 / 21卷 / 01期
关键词：
Dynamic debonding; Wave equation in time-dependent domains; Duhamel's principle; Dynamic energy release rate; Energy-dissipation balance; Maximum dissipation principle; Griffith's criterion; PEELING TEST; ELASTIC STRIP; FRACTURE; LIMIT; DELAMINATION; ADHESIVE;
D O I：
10.1007/s00028-020-00571-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we analyse a one-dimensional debonding model when viscosity is taken into account. It is described by the weakly damped wave equation whose domain, the debonded region, grows according to a Griffith's criterion. Firstly we prove that the equation admits a unique solution when the evolution of the debonding front is assigned. Finally we provide an existence and uniqueness result for the coupled problem given by the wave equation together with Griffith's criterion.
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页码：63 / 106
页数：44
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