One-dimensional quasistatic model of biodegradable elastic curved rods

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• 作者：Josip Tamba?a ; Bojan ?ugec
• 关键词：74K10 ; 74E99 ; Elasticity ; Degradation ; Curved rods ; One ; dimensional model
• 刊名：Zeitschrift f篓鹿r angewandte Mathematik und Physik
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：66
• 期：5
• 页码：2759-2785
• 全文大小：978 KB
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• 作者单位：Josip Tamba?a (1)
  Bojan ?ugec (2)
  
  1. Department of Mathematics, University of Zagreb, Zagreb, Croatia
  2. Faculty of Organization and Informatics, University of Zagreb, Vara?din, Croatia
  
• 刊物主题：Theoretical and Applied Mechanics; Mathematical Methods in Physics;
• 出版者：Springer Basel
• ISSN：1420-9039

文摘

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. Mathematics Subject Classification 74K10 74E99