One-dimensional model for the combined bending, stretching, shearing and torsion of rods derived from three-dimensional elasticity

DOI10.1177/1081286511420898OpenAlexW2312558019MaRDI QIDQ5136754

Erick Pruchnicki

Publication date: 27 November 2020

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

Full work available at URL: https://doi.org/10.1177/1081286511420898

zbMATH Keywords

linear elasticitystrainrodsgradients

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items (3)

New refined models for curved beams in both linear and nonlinear settings ⋮ One-dimensional model of fourth order for rods with loading on lateral boundary: The case of rectangular cross section ⋮ Contribution to beam theory based on 3-D energy principle

Cites Work

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• Two-dimensional models for the combined bending and stretching of plates and shells based on three-dimensional linear elasticity
• Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence
• Hierarchy of one-dimensional models in nonlinear elasticity
• Two-dimensional model for the combined bending, stretching and transverse shearing of laminated plates derived from three-dimensional elasticity
• Recursive Derivation of One-Dimensional Models from Three-Dimensional Nonlinear Elasticity
• The Graves condition for variational problems of arbitrary order
• Shells with thickness distension

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