Two-dimensional examples of rank-one convex functions that are not quasiconvex
نویسندگان
چکیده
منابع مشابه
From microstructure-independent formulas for composite materials to rank-one convex, non-quasiconvex functions
Examples of non-quasiconvex functions that are rank-one convex are rare. In this paper we construct a family of such functions by means of the algebraic methods of the theory of exact relations for polycrystalline composite materials, developed to identify G-closed sets of positive codimensions. The algebraic methods are used to construct a set of materials of positive codimension that is close...
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ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 2000
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-73-3-291-295