One-dimensional quasistatic model of biodegradable elastic curved rods
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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 Classification74K10 74E99
KeywordsElasticity Degradation Curved rods One-dimensional model
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