Asymptotic dimension reduction of a Robin-type elasticity boundary value problem in thin beams

DOI10.1080/00036811.2013.823481zbMath1292.74021OpenAlexW1981678764WikidataQ58248003 ScholiaQ58248003MaRDI QIDQ5418577

D. Z. Bare, Julia Orlik, Gregory P. Panasenko

Publication date: 26 May 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2013.823481

zbMATH Keywords

beamlinear elasticityrodRobin type boundary conditionasymptotic dimension reductionclassical 1D models

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Contact in solid mechanics (74M15)

Related Items (7)

Asymptotic Approximations of a Thin Elastic Beam with Auxiliary Coupled 1D System due to Robin Boundary Condition ⋮ Concentration and homogenization in electrical conduction in heterogeneous media involving the Laplace-Beltrami operator ⋮ On the ultimate strength of heterogeneous slender structures based on multi-scale stress decomposition ⋮ A mortar formulation including viscoelastic layers for vibration analysis ⋮ Asymptotic analysis for plane stress problems. A classroom note ⋮ Optimization of Textile-Like Materials via Homogenization and Beam Approximations ⋮ Non homogeneous Dirichlet conditions for an elastic beam: an asymptotic analysis

Cites Work

• Boundary conditions for the high order homogenized equation: laminated rods, plates and composites
• Asymptotic derivation of frictionless contact models for elastic rods on a foundation with normal compliance
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• A justification of the one‐dimensional linear model of elastic beam
• Comportement asymptotique des solutions du système de l'élasticité linéarisée anisotrope hétérogène dans des cylindres minces
• Homogenization of elasticity problems on singular structures
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

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