On the construction of anisotropic polyconvex energy densities

In: Proceedings in Applied Mathematics and Mechanics, Jg. 7 (2007) ; 1, Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007, S. 4060009-4060010
ISSN: 1617-7061
Zeitschriftenaufsatz / Fach: Bauwissenschaften
Abstract:
In this contribution we propose a general framework for the construction of polyconvex energies for arbitrary anisotropy classes. The main idea is the introduction of an anisotropic metric reflecting the material symmetry of the underlying crystal.