A second order theory for large deflections of slender beams

DOI10.1007/BF00944592zbMath0514.73041MaRDI QIDQ1051487

P. Pleus, Mahir Behar Sayir

Publication date: 1983

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

zbMATH Keywords

large deflectionsasymptotic theorycircular cross sectiongeneral cross sectiongeneral equationslocal stress and strain fields of second order influenced by physical nonlinearitiesphysical nonlinearities have greater influence than geometrical nonlinearitiesslender beamsymmetric cross sectionT-profil section

Mathematics Subject Classification ID

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

Related Items

Asymptotic theory and analysis for displacements and stress distribution in nonlinear elastic straight slender rods, Beam elements in instability problems, On a consistent theory, and variational formulation of finitely stretched and rotated 3-D space-curved beams, A general method for analyzing moderately large deflections of a non-uniform beam: an infinite Bernoulli-Euler-von Kármán beam on a nonlinear elastic foundation, On the derivation of nonlinear rod theories from three-dimensional elasticity, Displacement of slender axisymmetric bodies: A convenient change of basis, Asymptotic models for a long, elastic cylinder, Small strain deformations of elastic beams and rods including large deflections

Cites Work

• An asymptotic analysis of large deflections and rotations of elastic rods
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