Calculus of Variations and Geometric Measure Theory
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P. M. Mariano - G. Modica

Ground states in complex bodies

created by modica on 03 Mar 2008
modified on 15 Nov 2012


Published Paper

Inserted: 3 mar 2008
Last Updated: 15 nov 2012

Volume: 15
Pages: 377-402
Year: 2009
Doi: 10.1051/cocv:2008036


We discuss conditions in which appropriate weak diffeomorphisms and Sobolev maps are minimizers of the energy of non-linear elastic complex bodies. Our approach makes use of classical semicontinuity results and of Cartesian currents. We deal with general substructures and consider their morphology represented by elements of some differentiable manifold. In this way our results apply to a variety of special classes of complex materials. We derive also balance equations of standard and substructural actions for weak minimizers.


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