Naslov
Evolution Model for Linearized Micropolar Plates by the Fourier Method

Autori
Tambača, Josip ; Velčić, Igor

Izvornik
Journal of Elasticity (0374-3535) 96 (2009), 2; 129-154

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
micropolar elasticity; asymptotic analysis; plate model; the Fourier method

Sažetak
In this paper we justify a two-dimensional evolution and eigenvalue model for micropolar plates starting from three-dimensional linearly micropolar elasticity. A small parameter representing the thickness of the plate-like body is introduced in the problem. The asymptotics of the evolution and eigenvalue problems is then developed as this small parameter tends to zero. First the appropriate convergences of the eigenpairs of the three-dimensional problem to the eigenpairs of the two-dimensional eigenvalue problem for micropolar plates is shown. Then these convergences are used in the Fourier method to obtain the convergences of the solution of the three-dimensional evolution problem to the solution of the two-dimensional evolution plate model.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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