Zeitschrift für angewandte Mathematik und Physik

, Volume 66, Issue 5, pp 2759–2785 | Cite as

One-dimensional quasistatic model of biodegradable elastic curved rods



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 


Elasticity Degradation Curved rods One-dimensional model 


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Copyright information

© Springer Basel 2015

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of ZagrebZagrebCroatia
  2. 2.Faculty of Organization and InformaticsUniversity of ZagrebVaraždinCroatia

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