ON OUT-OF-PLANE BUCKLING OF ANISOTROPIC ELASTIC PLATE SUBJECTED TO A SIMPLE SHEAR

Out-of-plane buckling of anisotropic elastic plate subjected to a simple shear is investigated.From exact 3-D equilibrium conditions of anisotropic elastic body with a plane of elastic symmetry at criticalconfiguration,the eqution for buckling direction(buckling wave direction)parameter is derived and theshape functions of possible buckling modes are obtained.The traction free boundary conditions which musthold on the upper and lower surfaces of plate lead to a linear eigenvalue problem whose nontrivial solutionsare just the possible buckling modes for the plate.The buckling conditions for both flexural and barrelingmodes are presented.As a particular example of buckling of anisotropic elastic plate,the buckling of an orthotropic elasticplate,which is subjected to simple shear along a direction making an arbitrary angle of θ with respect to anelastic principal axis of materials,is analyzed.The buckling direction varies with θ and the critical amountof shear.The numerical results show that only the flexural mode can indeed exist.