On attainability of Hashin-Shtrikman bounds by iterative hexagonal layering. Plane elasticity problems

T. Lewiński; A.M. Othman

On attainability of Hashin-Shtrikman bounds by iterative hexagonal layering. Plane elasticity problems

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T. Lewiński Faculty of Civil Engineering, Warsaw University of Technology, Poland
A.M. Othman Faculty of Civil Engineering, Warsaw University of Technology, Poland

Abstract

The paper presents a derivation of the Hashin—Shtrikman bounds for the plane elasticity problems and for the Kirchhoff problem of plates in bending. A two-dimensional counterpart of the method of FRANCFORT—MURAT [1] is applied. The method consists of three subsequent layerings along the directions of vertices of a unilateral triangle.

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On attainability of Hashin-Shtrikman bounds by iterative hexagonal layering. Plane elasticity problems

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