Remarks on homogenization and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mn>3</mml:mn><mml:mi>D</mml:mi></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mn>2</mml:mn><mml:mi>D</mml:mi></mml:mrow></mml:math> dimension reduction of unbounded energies on thin films

We study periodic homogenization and 3D-2D dimension reduction by Γ(π)-con-vergence of heterogeneous thin films whose the stored-energy densities have no polynomial growth. In particular, our results are consistent with one basic facts nonlinear elasticity, namely necessity an infinite amount energy to compress a finite volume matter into zero volume. However, not noninterpenetration matter.