Buckling of plates including effect of shear deformations: a hyperelastic formulation

- Journal title : Structural Engineering and Mechanics
- Volume 57, Issue 6, 2016, pp.1107-1124
- Publisher : Techno-Press
- DOI : 10.12989/sem.2016.57.6.1107

Title & Authors

Buckling of plates including effect of shear deformations: a hyperelastic formulation

Musa, Idris A.;

Musa, Idris A.;

Abstract

Consistent finite strain Plate constitutive relations are derived based on a hyperelastic formulation for an isotropic material. Plate equilibrium equations under finite strain are derived following a static kinematic approach. Three Euler angles and four shear angles, based on Timoshenko beam theory, represent the kinematics of the deformations in the plate cross section. The Green deformation tensor has been expressed in term of a deformation tensor associated with the deformation and stretches of an embedded plate element. Buckling formulation includes the in-plane axial deformation prior to buckling and transverse as well as in-plane shear deformations. Numerical results for a simply supported thick plate under uni-axial compression force are presented.

Keywords

plate;buckling;shear deformations;hyperelasticity;

Language

English

Cited by

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