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Buckling of plates including effect of shear deformations: a hyperelastic formulation
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 Title & Authors
Buckling of plates including effect of shear deformations: a hyperelastic formulation
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
1.
Buckling analysis of isotropic and orthotropic plates using a novel four variable refined plate theory,;;;

Steel and Composite Structures, 2016. vol.21. 6, pp.1287-1306 crossref(new window)
1.
Buckling analysis of isotropic and orthotropic plates using a novel four variable refined plate theory, Steel and Composite Structures, 2016, 21, 6, 1287  crossref(new windwow)
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