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Relaxation Theorem and Lower-Dimensional Models in Micropolar Elasticity

Igor Veli and Josip Tambaa^*

University of Zagreb

^* To whom correspondence should be addressed. E-mail: tambaca{at}math.hr.

	Abstract

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.

First published on September 11, 2009
Mathematics and Mechanics of Solids 2009, doi:10.1177/1081286509342270


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