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

nije evidentirano