Simply and doubly periodic arrangements of the equi-stress holes in a perforated elastic plane: The single-layer potential approach

DOI10.1177%2F1081286517691807zbMath1395.74010MaRDI QIDQ5374476

Shmuel Vigdergauz

Publication date: 14 September 2018

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

zbMATH Keywords

shape optimizationgenetic algorithmlayer potentialsboundary stressescheckerboard structures

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items (5)

Minimizing the stressed state of a plate with a hole and cracks ⋮ Effect of a circular Eshelby inclusion on the non‐elliptical shape of a coated neutral inhomogeneity with internal uniform stresses ⋮ Inverse problem of elasticity for a plate weakened by hole and cracks ⋮ Shape optimization of two interacting holes with different areas in an infinite plate ⋮ Optimization of the bearing capacity of a stringer panel with a hole

Cites Work

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• Inverse problems of the plane theory of elasticity
• Integral equation of the inverse problem of the plane theory of elasticity
• The Theory of Composites
• Stress-smoothing holes in an elastic plate: From the square lattice to the checkerboard
• Equi-stress boundaries in two- and three-dimensional elastostatics: The single-layer potential approach

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