Post-Buckling Behavior of Nonlinear Elastic Beams and Three-Dimensional Frames Using the Theory of a Cosserat Point

DOI10.1177/1081286504033010zbMath1066.74028OpenAlexW1970316902MaRDI QIDQ4671781

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Publication date: 26 April 2005

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

Full work available at URL: https://doi.org/10.1177/1081286504033010

zbMATH Keywords

rectangular cross-sectionthree-dimensional frameslateral buckling load

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear elasticity (74B20) Bifurcation and buckling (74G60) Junctions (74K30)

Related Items (2)

Using discrete optimization algorithms to find minimum energy configurations of slender cantilever beams with non-convex energy functions ⋮ Numerical Solution Procedures for Nonlinear Elastic Curved Rods Using the Theory of a Cosserat Point

Cites Work

• Unnamed Item
• On a variational analysis of finite deformations of prismatical beams and on the effect of warping stiffness on buckling loads
• Exact theory of stress and strain in rods and shells
• The equilibrium of rods
• On some problems of buckling of prismatical beams under the influence of axial and transverse loads
• On a simple variational analysis of small finite deformations of prismatical beams
• A three-dimensional finite-strain rod model. II. Computational aspects
• On the lateral buckling of uniform slender cantilever beams
• On lateral buckling of end-loaded cantilever beams
• A new 3-D finite element for nonlinear elasticity using the theory of a Cosserat point.
• Determination of hourglass coefficients in the theory of a Cosserat point for nonlinear elastic beams.
• On the foundations of the theory of rods
• On the theory of a Cosserat point and shear locking in thin beams
• Lateral buckling of beam
• On the Theory of a Cosserat Point and Its Application to the Numerical Solution of Continuum Problems
• On the theory of rods. I. Derivations from the three-dimensional equations
• On the theory of rods II. Developments by direct approach
• Mathematical Models for Elastic Structures
• On the role of geometrically exact and second-order theories in buckling and post-buckling analysis of three-dimensional beam structures
• Nonlinear problems of elasticity
• Numerical solution procedures for nonlinear elastic rods using the theory of a Cosserat point
• Cosserat theories: Shells, rods and points

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