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Titre du document / Document title

Finite strain-beam theory

Auteur(s) / Author(s)

ATTARD Mario M. (1) ;

Affiliation(s) du ou des auteurs / Author(s) Affiliation(s)

(1) School of Civil and Environmental Engineering, The University of New South Wales, Sydney, NSW 2052, AUSTRALIE

Résumé / Abstract

An appropriate strain energy density for an isotropic hyperelastic Hookean material is proposed for finite strain from which a constitutive relationship is derived and applied to problems involving beam theory approximations. The physical Lagrangian stress normal to the surfaces of a element in the deformed state is a function of the normal component of stretch while the shear is a function of the shear component of stretch. This paper attempts to make a contribution to the controversy about who is correct, Engesser or Haringx with regard to the buckling formula for a linear elastic straight prismatic column with Timoshenko beam-type shear deformations. The derived buckling formula for a straight prismatic column including shear and axial deformations agrees with Haringx's formula. Elastica-type equations are also derived for a three-dimensional Timoshenko beam with warping excluded. When the formulation is applied to the problem of pure torsion of a cylinder no second-order axial shortening associated with the Wagner effect is predicted which differs from conventional beam theory. When warping is included, axial shortening is predicted but the formula differs from conventional beam theory.

Revue / Journal Title

International journal of solids and structures    ISSN  0020-7683   CODEN IJSOAD 

Source / Source

2003, vol. 40, no17, pp. 4563-4584 [22 page(s) (article)] (21 ref.)

Langue / Language


Editeur / Publisher

Elsevier, Kidlington, ROYAUME-UNI  (1965) (Revue)

Localisation / Location

INIST-CNRS, Cote INIST : 12631, 35400011968659.0150

Nº notice refdoc (ud4) : 14925720

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