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One-dimensional quasistatic model of biodegradable elastic curved rods (CROSBI ID 222939)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Tambača, Josip ; Žugec, Bojan One-dimensional quasistatic model of biodegradable elastic curved rods // Zeitschrift für angewandte Mathematik und Physik, 66 (2015), 5; 2759-2785. doi: 10.1007/s00033-015-0512-3

Podaci o odgovornosti

Tambača, Josip ; Žugec, Bojan

engleski

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.

Elasticity ; Degradation ; Curved rods ; One-dimensional model

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Podaci o izdanju

66 (5)

2015.

2759-2785

objavljeno

0044-2275

10.1007/s00033-015-0512-3

Povezanost rada

Matematika

Poveznice
Indeksiranost