On pure bending in non-linear elasticity: a circular closed-form 2D solution for semi-linear orthotropic material

DOI10.1016/j.euromechsol.2021.104289OpenAlexW3172571385MaRDI QIDQ1982297

Gordan Jelenić

Publication date: 8 September 2021

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2021.104289

zbMATH Keywords

closed-form solutionpure bendingorthotropic elasticityrectangular beamsemi-linear material

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Anisotropy in solid mechanics (74E10) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Cites Work

• Finite bending of a rectangular block of an elastic Hencky material
• Nonlinear effects in a plane problem of the pure bending of an elastic rectangular panel
• Remarks concerning the flexure of a compressible nonlinearly elastic rectangular block
• On constitutive inequalities for simple materials. I
• Finite strain solutions for a compressible elastic solid
• Plane strain problems for a perfectly elastic material of harmonic type
• On large bending deformations of transversely isotropic rectangular elastic blocks
• Large elastic deformations of isotropic materials. V. The problem of flexure
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