Stress-smoothing holes in an elastic plate: From the square lattice to the checkerboard

DOI10.1177/1081286511411571zbMath1291.74149OpenAlexW2334916330MaRDI QIDQ5167929

Shmuel Vigdergauz

Publication date: 2 July 2014

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

Full work available at URL: https://doi.org/10.1177/1081286511411571

zbMATH Keywords

shape optimizationgenetic algorithmplane elasticity problemKolosov-Muskhelishvili potentialshoop stressesextremal elastic structurescheckerboard lattices

Mathematics Subject Classification ID

Plates (74K20) Optimization of other properties in solid mechanics (74P10) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items

Three-phase elliptical inclusions with internal uniform hydrostatic stress resultants in isotropic laminated plates, Simply and doubly periodic arrangements of the equi-stress holes in a perforated elastic plane: The single-layer potential approach, Stress-smoothing holes in an elastic plate: The triangular checkerboard lattice of low symmetry, A generalization of the equi-stress principle in optimizing the mechanical performance of two-dimensional grained composites

Cites Work

• 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
• New Results on the Poisson Ratio Behavior in Matrix-Inclusion Planar Composites
• Invariant properties of the stress in plane elasticity and equivalence classes of composites
• Rhombic lattice of equi-stress inclusions in an elastic plate
• On the Elastic Deformation of Symmetric Periodic Structures
• Complete Elasticity Solution to the Stress Problem in a Planar Grained Structure
• The Theory of Composites
• Genetic algorithm perspective to identify energy optimizing inclusions in an elastic plate.