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Structural Engineering and Mechanics Volume 57, Number 6, March25 2016 , pages 1107-1124 DOI: https://doi.org/10.12989/sem.2016.57.6.1107 |
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Buckling of plates including effect of shear deformations: a hyperelastic formulation |
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Idris A. Musa
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| 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. | ||
| Key Words | ||
| plate; buckling; shear deformations; hyperelasticity | ||
| Address | ||
| Idris A. Musa: Department of Civil Engineering, University of Duhok, 38 Zakho Street, Duhok City, 1006AJ, Duhok Governorate, Kurdistan Region, Iraq | ||