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.

引用

页码：2759 / 2785

页数：26