One-dimensional model of fourth order for rods with loading on lateral boundary: The case of rectangular cross section
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Publication:5374455
DOI10.1177%2F1081286516665899zbMath1395.74053MaRDI QIDQ5374455
Publication date: 14 September 2018
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10)
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A novel reduced model for a linearized anisotropic rod with doubly symmetric a cross-section: I. Theory ⋮ New refined models for curved beams in both linear and nonlinear settings
Cites Work
- Derivation of the nonlinear bending-torsion theory for inextensible rods by \(\Gamma\)-convergence
- Hierarchy of one-dimensional models in nonlinear elasticity
- Recursive Derivation of One-Dimensional Models from Three-Dimensional Nonlinear Elasticity
- One-dimensional model for the combined bending, stretching, shearing and torsion of rods derived from three-dimensional elasticity
- One-dimensional models of fourth and sixth orders for rods derived from three-dimensional elasticity
- Shells with thickness distension
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