2013
DOI: 10.1016/j.ijnonlinmec.2013.06.001
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Non-linear stability analysis of laminated composite plates on one-sided foundation by hierarchical Rayleigh–Ritz and finite elements

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Cited by 13 publications
(5 citation statements)
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“…Nallim et al [165] explored the application of orthogonal polynomials to the Ritz method, particularly concerning the examination of rectangular anisotropic plates to determine free vibration and bending deflection. Vaseghi et al [166] used the hierarchical Rayleigh-Ritz approach to investigate the unilateral buckling of restricted rectangular plates. The study examined composite plate behavior under compressive in-plane stresses using a nonlinear elastic constraint on one side.…”
Section: Rayleigh-ritz and Galerkin Methodsmentioning
confidence: 99%
“…Nallim et al [165] explored the application of orthogonal polynomials to the Ritz method, particularly concerning the examination of rectangular anisotropic plates to determine free vibration and bending deflection. Vaseghi et al [166] used the hierarchical Rayleigh-Ritz approach to investigate the unilateral buckling of restricted rectangular plates. The study examined composite plate behavior under compressive in-plane stresses using a nonlinear elastic constraint on one side.…”
Section: Rayleigh-ritz and Galerkin Methodsmentioning
confidence: 99%
“…By substituting Equation (7) into Equation ( 4) and integrating, the total potential energy is obtained as a function of the unknown coefficients of the displacement fields. The equilibrium shapes are then obtained by the principle of minimum potential energy so that the variations with respect to the unknown coefficients are determined and the resulting expressions are set to zero [36][37][38]. Thus,…”
Section: Methodology 21 Theoretical Model Of Bistable Laminatesmentioning
confidence: 99%
“…Moreover, the influence of hybridization on the tensile and buckling failure properties of hybrid composites was investigated by different authors 34 37 . The tensile failure properties of the fibers depending on the amount of stress concentration that occurs during testing.…”
Section: Introductionmentioning
confidence: 99%