Dynamic Crack Growth in Viscoelastic Materials with Memory

被引：1
|
作者：
Cianci, Federico [1 ]
机构：
[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy
来源：
MILAN JOURNAL OF MATHEMATICS | 2023年 / 91卷 / 02期
关键词：
Crack growth; Evolution problems with memory; Elastodynamics; Viscoelasticity; GRIFFITH FRACTURE; EXISTENCE; DOMAINS;
D O I：
10.1007/s00032-023-00384-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce a model of dynamic crack growth in viscoelastic materials, where the damping term depends on the history of the deformation. The model is based on a dynamic energy dissipation balance and on a maximal dissipation condition. Our main result is an existence theorem in dimension two under some a priori regularity constraints on the cracks.
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页码：331 / 351
页数：21
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