One-dimensional quasistatic model of biodegradable elastic curved rods

被引：0
作者：
Josip Tambača
Bojan Žugec
机构：
[1] University of Zagreb,Department of Mathematics
[2] University of Zagreb,Faculty of Organization and Informatics
来源：
Zeitschrift für angewandte Mathematik und Physik | 2015年 / 66卷
关键词：
74K10; 74E99; Elasticity; Degradation; Curved rods; One-dimensional model;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we derive and analyze a one-dimensional model of biodegradable elastic curved rods. The model is given for displacement and degradation as unknown functions and is nonlinear. It is obtained from the three-dimensional equations of the biodegradable elastic rod-like bodies using formal asymptotic expansion techniques with respect to the small thickness of the rod. Existence and uniqueness of the solution of the one-dimensional model are proved. Some qualitative properties of the model are also obtained from the numerical approximation of the model.
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页码：2759 / 2785
页数：26
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