On a simple variational analysis of small finite deformations of prismatical beams

DOI10.1007/BF00948807zbMath0552.73007MaRDI QIDQ801708

Eric Reissner

Publication date: 1983

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

bendingstretchingtwistingwarping stiffnessbeam deformationsfinite axially uniform stretchingsystem of one-dimensional differential equationsthree-dimensional strain energy functional

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (7)

A linear theory of beams with deformable cross section ⋮ Coupled instabilities in thin-walled beams: A qualitative approach. ⋮ Post-Buckling Behavior of Nonlinear Elastic Beams and Three-Dimensional Frames Using the Theory of a Cosserat Point ⋮ A continuum mechanics based derivation of Reissner's large-displacement finite-strain beam theory: the case of plane deformations of originally straight Bernoulli-Euler beams ⋮ On a variational analysis of finite deformations of prismatical beams and on the effect of warping stiffness on buckling loads ⋮ On some problems of buckling of prismatical beams under the influence of axial and transverse loads ⋮ On the modeling of restrained torsional warping: an analysis of two formulations

Cites Work

• Further considerations on the problem of torsion and flexure of prismatical beams
• The Nonlinear Behavior of Elastic Slender Straight Beams Undergoing Small Strains and Moderate Rotations
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