Planar grained structures with multiple inclusions in a periodic cell: Elastostatic solution and its potential applications

DOI10.1177/1081286513488017zbMath1299.74150OpenAlexW2069054002MaRDI QIDQ2931286

Shmuel Vigdergauz

Publication date: 25 November 2014

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286513488017

zbMATH Keywords

Hashin-Shtrikman boundsshape optimizationplane elasticity problemKolosov-Muskhelishvili potentialshoop stressesextremal elastic structuresmulti-phase lattices

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Effective constitutive equations in solid mechanics (74Q15) Complex-variable methods applied to problems in solid mechanics (74S70)

Cites Work

• A variational approach to the theory of the elastic behaviour of multiphase materials
• Inverse problems of the plane theory of elasticity
• Microstructures minimizing the energy of a two-phase elastic composite in two space dimensions. II: The Vigdergauz microstructure
• Multiphase composites with extremal bulk modulus
• Hashin–Shtrikman bounds and their attainability for multi-phase composites
• Rhombic lattice of equi-stress inclusions in an elastic plate
• Complete Elasticity Solution to the Stress Problem in a Planar Grained Structure
• The Theory of Composites

This page was built for publication: Planar grained structures with multiple inclusions in a periodic cell: Elastostatic solution and its potential applications