Elastic/plastic buckling analysis of skew plates under in-plane shear loading with incremental and deformation theories of plasticity by GDQ method
Journal of the Brazilian Society of Mechanical Sciences and Engineering
Elastic/plastic buckling analysis of skew plates under in-plane shear loading with incremental and deformation theories of plasticity by GDQ method M. Maarefdoust & M. Kadkhodayan 1 2 3 Your article is protected by copyright and all rights are held exclusively by The Brazilian Society of Mechanical Sciences and Engineering. This e-offprint is for personal use only and shall not be self-archived in electronic repositories. If you wish to selfarchive your article, please use the accepted
... t version for posting on your own website. You may further deposit the accepted manuscript version in any repository, provided it is only made publicly available 12 months after official publication or later and provided acknowledgement is given to the original source of publication and a link is inserted to the published article on Springer's website. The link must be accompanied by the following text: "The final publication is available at link.springer.com". Abstract The present study is concerned with the elastic/ plastic buckling analysis of a skew plate under in-plane shear loading. The governing equations for moderately thick skew plates are analytically derived based on firstorder shear deformation theory, whereas the incremental and deformation theories of plasticity are employed. Two types of shear loads, i.e. rectangular shear (R-shear) and skew shear (S-shear) have been investigated. The buckling coefficient values are significantly affected by the direction of stresses. Since the problem is geometrically and physically nonlinear, the generalized differential quadrature method as an accurate, simple and computationally efficient numerical tool is adopted to discretize the governing equations and the related boundary conditions. Then, a direct iterative method is employed to obtain the buckling coefficients of skew plates. To demonstrate the accuracy of the present analytical solution, a comparison is made with the published experimental and numerical results in literature. The influences of the aspect and thickness ratios, skew angle, incremental and deformation theories and various boundary conditions are examined for R-shear and S-shear buckling coefficients. Finally, some mode shapes of the skew thick plates are illustrated. The present results may serve as benchmark solutions for such plates.