Relaxation Theorem and Lower-Dimensional Models in Micropolar Elasticity (CROSBI ID 162010)
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Podaci o odgovornosti
Velčić, Igor ; Tambača, Josip
engleski
Relaxation Theorem and Lower-Dimensional Models in Micropolar Elasticity
In this paper we prove the relaxation theorem in micropolar elasticity and use it, together with the semicontinuity theorem, to justify lower-dimensional models of rods (and plates) by means of -convergence starting from general energy functionals. The internal energy density is assumed to be continuous and satisf–ies some growth and coercivity conditions. In particular, we apply these results to derive a rod model starting from quadratic isotropic energy density function of a cylindrical three-dimensional micropolar body.
nonlinear micropolar elasticity; relaxation theorem; rod model; plate model; Cosserat rod model
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Podaci o izdanju
15 (8)
2010.
812-853
objavljeno
1081-2865
10.1177/1081286509342270