Asymptotic analysis for plane stress problems. A classroom note

DOI10.1007/S10659-021-09821-ZzbMath1465.74022OpenAlexW3149105017MaRDI QIDQ2028516

Dan Givoli

Publication date: 1 June 2021

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-021-09821-z

zbMATH Keywords

asymptotic solutionplane stressdimension reductionanisotropycompatibility

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Anisotropy in solid mechanics (74E10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of deformable solids (74-01)

Cites Work

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• On the asymptotic derivation of Winkler-type energies from 3D elasticity
• On the generalized plane stress problem, the Gregory decomposition and the Filon mean method
• Generalization of plane stress and plane strain states to elastic plates of finite thickness
• On the assumptions of the generalized plane stress problem and the filon average
• Non homogeneous Dirichlet conditions for an elastic beam: an asymptotic analysis
• Asymptotic analysis of an elastic rod with rounded ends
• Asymptotic dimension reduction of a Robin-type elasticity boundary value problem in thin beams

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