Analytical and finite element buckling solutions of anisotropic laminated composite columns/plates under axial compression with various boundary conditions

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dc.contributor.author Al-Masri, Rund Ahmad
dc.date.accessioned 2017-06-16T15:06:46Z
dc.date.available 2017-06-16T15:06:46Z
dc.date.issued 2017-08-01 en_US
dc.identifier.uri http://hdl.handle.net/2097/35736
dc.description.abstract The use of laminated composites in aerospace, automotive, and civil engineering applications is ever growing due to their distinguished properties (High stiffness-to-weight ratio, high strength-to-weight ratio, fatigue and corrosion resistance). This growth has resulted in increasing the demand for better understanding the mechanics of laminated composites. Composite columns and wide plates, like any traditional members subjected to axial compression, undergo stability issues prior to failure. Limited amount of research studies has focused on the buckling of laminated anisotropic composite members. Analytical formula for the buckling load of generally anisotropic laminated composite simply supported thin columns and wide plates is derived using the Rayleigh Ritz approximation and bifurcation approach. The effective axial, coupling and flexural stiffness coefficients of the anisotropic layup is determined from the generalized constitutive relationship using dimensional reduction by static condensation of the 6x6 composite stiffness matrix. The resulting explicit formula is expressed in terms of the generally anisotropic material properties as well as the member geometry. The developed formula may be considered an extension to Euler buckling formula using Rayleigh-Ritz approximation and the first of its kind since Euler. This formula reduces down to Euler buckling formula once the effective coupling stiffness term vanishes for isotropic and certain classes of laminated composites. The analytical results are verified against finite element Eigen value solutions for a wide range of anisotropic laminated layups yielding high accuracy. Comparisons with experiments; conducted at Kansas State University for the simply supported case, are also performed showing good correspondence. A brief parametric study is then conducted to examine the effect of ply orientations and material properties including hybrid carbon/glass fiber composites, element thickness, and element type in FE analysis. Relevance of the numerical and analytical results is discussed for all these cases. en_US
dc.description.sponsorship In part of Department of Civil Engineering at Kansas State University en_US
dc.language.iso en_US en_US
dc.publisher Kansas State University en
dc.subject Finite element analysis en_US
dc.subject Anisotropic laminated composite en_US
dc.subject Axial compression en_US
dc.subject Columns and wide plates en_US
dc.subject Buckling en_US
dc.subject Analytical solutions en_US
dc.title Analytical and finite element buckling solutions of anisotropic laminated composite columns/plates under axial compression with various boundary conditions en_US
dc.type Dissertation en_US
dc.description.degree Doctor of Philosophy en_US
dc.description.level Doctoral en_US
dc.description.department Department of Civil Engineering en_US
dc.description.advisor Hayder A. Rasheed en_US
dc.date.published 2017 en_US
dc.date.graduationmonth August en_US


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