SETS OF CONDUCTIVITY AND ELASTICITY TENSORS STABLE UNDER LAMINATION

被引：21

作者：

FRANCFORT, GA ^{[1
]}

MILTON, GW ^{[1
]}

机构：

[1] NYU, COURANT INST MATH SCI, NEW YORK, NY 10012 USA

来源：

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 1994年 / 47卷 / 03期

关键词：

D O I：

10.1002/cpa.3160470302

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A complete characterization is obtained of any set of constitutive (conductivity or elasticity) tensors that is stable under lamination between any two of the elements of the set. The conditions are local and are expressed in terms of the curvature and tangent plane at points on the boundary of the set. They are checked to hold for several well-known examples of sets stable under a more general process of homogenization. A companion paper investigates the link between these conditions and quasiconvexity. (C) 1994 John Wiley & Sons, Inc.

引用

页码：257 / 279

页数：23

共 32 条

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