Derivation of the model of elastic curved rods from three-dimensional micropolar elasticity (CROSBI ID 136198)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Aganović, Ibrahim ; Tambača, Josip ; Tutek, Zvonimir
engleski
Derivation of the model of elastic curved rods from three-dimensional micropolar elasticity
In this paper we derive a model of curved elastic rods from the three-dimensional linearized micropolar elasticity. Derivation is based on the asymptotic expansion method with respect to the thickness of the rod. The method is used without any a priori assumption on the scaling of the unknowns. The leading term, displacement and microrotation, is identified as the unique solution of a certain one-dimensional problem. Appropriate convergence results are proved.
elastic curved rods; micropolar elasticity; asymptotic method; one-dimensional model; justification
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Podaci o izdanju
53 (2)
2007.
109-133-x
objavljeno
0430-3202
1827-1510