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Derivation of homogenized Euler–Lagrange equations for von Kármán rods (CROSBI ID 236391)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Bukal, Mario ; Pawelczyk Matthäus ; Velčić, Igor Derivation of homogenized Euler–Lagrange equations for von Kármán rods // Journal of differential equations, 262 (2017), 11; 5565-5605. doi: 10.1016/j.jde.2017.02.009

Podaci o odgovornosti

Bukal, Mario ; Pawelczyk Matthäus ; Velčić, Igor

engleski

Derivation of homogenized Euler–Lagrange equations for von Kármán rods

In this paper we study the effects of simultaneous homogenization and dimension reduction in the context of convergence of stationary points for thin nonhomogeneous rods under the assumption of the von Kármán scaling. Assuming stationarity conditions for a sequence of deformations close to a rigid body motion, we prove that the corresponding sequences of scaled displacements and twist functions converge to a limit point, which is the stationary point of the homogenized von Kármán rod model. The analogous result holds true for the von Kármán plate model.

Elasticity ; Homogenization ; Dimension reduction ; Convergence of equilibria

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Podaci o izdanju

262 (11)

2017.

5565-5605

objavljeno

0022-0396

10.1016/j.jde.2017.02.009

Povezanost rada

Matematika

Poveznice
Indeksiranost