On the 1d wave equation in time-dependent domains and the problem of debond initiation***

被引：6

作者：

Lazzaroni, Giuliano ^{[1
]}

Nardini, Lorenzo ^{[2
]}

机构：

[1] Univ Firenze, Dipartimento Matemat & Informat U Dini, Viale Morgagni 67-A, I-50134 Florence, Italy

[2] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2019年 / 25卷

基金：

奥地利科学基金会; 欧洲研究理事会;

关键词：

Wave equation in time-dependent domains; singularities; dynamic debonding; dynamic energy release rate; Griffith's criterion; dynamic fracture; crack initiation; thin films; PEELING TEST; DYNAMIC EVOLUTIONS; GRIFFITH FRACTURE; EXISTENCE; ADHESIVE;

D O I：

10.1051/cocv/2019006

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Motivated by a debonding model for a thin film peeled from a substrate, we analyse the one-dimensional wave equation, in a time-dependent domain which is degenerate at the initial time. In the first part of the paper we prove existence for the wave equation when the evolution of the domain is given; in the second part of the paper, the evolution of the domain is unknown and is governed by an energy criterion coupled with the wave equation. Our existence result for such coupled problem is a contribution to the study of crack initiation in dynamic fracture.

引用

页数：21

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