A mixed problem of plane elasticity theory for a multiply connected domain with partially unknown boundary: the case of a rhombus

DOI10.1007/s00033-015-0546-6zbMath1327.74008OpenAlexW1137643029MaRDI QIDQ894942

Nana Odishelidze, J. M. Sanchez, Francisco Criado-Aldeanueva

Publication date: 24 November 2015

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-015-0546-6

zbMATH Keywords

stress stateplane elasticity theorycomplex variable theorymultiply connected body

Mathematics Subject Classification ID

Stress concentrations, singularities in solid mechanics (74G70) Stress (74A10) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items

Shape optimization of two interacting holes with different areas in an infinite plate

Cites Work

• A mixed problem of plate bending for a regular octagon weakened with a required full-strength hole
• Solution of one mixed problem of plate bending for a domain with partially unknown boundary
• Some axially symmetric problems of the theory of plane elasticity with partially unknown boundaries
• Inverse problems of the plane theory of elasticity
• Optimality conditions in the problem of seeking the hole shapes in elastic bodies
• On a case of the inverse problem of two-dimensional theory of elasticity
• On one contact problem of plane elasticity for a doubly connected domain: application to a hexagon
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