Calculus of Variations and Geometric Measure Theory

P. M. Santos - E. Zappale

Second Order Analysis for Thin Strucutures

created on 11 Dec 2002
modified on 18 Feb 2009


Published Paper

Inserted: 11 dec 2002
Last Updated: 18 feb 2009

Journal: Nonlinear Analysis
Volume: 56
Number: 5
Pages: 679-713
Year: 2004


The effective behavior of second order strain energy densities is obtained using relaxation and $\Gamma$ convergence techniques. The Cosserat theory is recovered within a dimension reduction analysis for $3 D$ nonlinear elastic thin domains with varying profiles. Homogeneous and inhomogeneous plate models with periodic profiles are treated.

Keywords: Dimensional Reduction, Thin films