Second Order Analysis for Thin Structures
Pedro Miguel Santos
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
and
Elvira Zappale
Dipartimento di Ingegneria dell'Informazione e Matematica Applicata
Università degli Studi di Salerno
Fisciano Sa) 84084, Italy
Abstract The effective behavior of second order strian
energy densities is obtained using relaxation and 
convergence
techniques. The Cosserat theory (see e.g. [13], [14] and [2]) is
recovered within a dimension reduction analysis for 
non linear
elastic thin domains with varying profiles. Homogeneous and
inhomogeneous plate models with periodic profiles are treated.
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