DSpace Repository

Buckling behaviour of laminated composite skew plates with various boundary conditions subjected to linearly varying in-plane edge loading

Show simple item record

dc.contributor.author Kumar, Rajesh
dc.date.accessioned 2022-12-20T07:26:19Z
dc.date.available 2022-12-20T07:26:19Z
dc.date.issued 2015-09
dc.identifier.uri https://www.sciencedirect.com/science/article/pii/S0020740315002295
dc.identifier.uri http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/7967
dc.description.abstract In the present study, the buckling behaviour of laminated composite skew plates with different boundary conditions subjected to linearly varying in-plane loads are presented. The skew plate is modelled based on higher order shear deformation theory, which accurately predicts the buckling behaviour for the thick plate. The in-plane stress distribution within the skew plate due to linearly varying in-plane load is equal to the applied in-plane edge load in the pre-buckling range. Using these in-plane stress distributions, the total potential energy functional is formulated. Total potential energy is a function of the total strain energy of skew plate and potential energy due to in-plane stress distributions. The total strain energy of skew plate contains membrane energy, bending energy, additional bending energy due to additional change in curvature and shear energy due to shear deformation, respectively. The total potential energy functionals mapped from physical domain to computational domain over which a set of orthonormal polynomials satisfying the essential boundary conditions is generated by Gram–Schmidt orthogonalization process. Using a Rayleigh-Ritz method in conjunction with Boundary Characteristics Orthonormal Polynomials, the total potential energy functional is converted into sets of algebraic equations. Finally, these algebraic equations are rearranged as a linear eigenvalue problem, which is solved to obtain the critical buckling loads. The numerical results are presented for different skew angles, boundary conditions, length to thickness ratios, aspect ratios and in-plane loadings. It is observed that the critical buckling load increase with the increase of skew angle as well as change in the mode shape at a lower aspect ratio with the increase of skew angle. en_US
dc.language.iso en en_US
dc.publisher Elsevier en_US
dc.subject Civil Engineering en_US
dc.subject Composite skew plate en_US
dc.subject BCOPs Gram–Schmidt process en_US
dc.subject Buckling en_US
dc.subject Rayleigh-Ritz method en_US
dc.subject Gram–Schmidt orthogonalization en_US
dc.title Buckling behaviour of laminated composite skew plates with various boundary conditions subjected to linearly varying in-plane edge loading en_US
dc.type Article en_US


Files in this item

Files Size Format View

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record

Search DSpace


Advanced Search

Browse

My Account