Buckling Solution of Fixed–Free Anisotropic Laminated Composite Columns Under Axial Loading
A generalized buckling solution for anisotropic laminated composite fixed–free columns under axial compression is developed using the critical stability matrix. The axial, coupling, and flexural equivalent stiffness coefficients of the anisotropic layup are determined from the generalized constituti...
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MDPI AG
2025-03-01
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| Series: | Fibers |
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| Online Access: | https://www.mdpi.com/2079-6439/13/4/35 |
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| author | Rund Al-Masri Hayder A. Rasheed Bacim Alali |
| author_facet | Rund Al-Masri Hayder A. Rasheed Bacim Alali |
| author_sort | Rund Al-Masri |
| collection | DOAJ |
| description | A generalized buckling solution for anisotropic laminated composite fixed–free columns under axial compression is developed using the critical stability matrix. The axial, coupling, and flexural equivalent stiffness coefficients of the anisotropic layup are determined from the generalized constitutive relationship through the static condensation of the composite stiffness matrix. The derived formula reduces down to the Euler buckling equation for isotropic and some special laminated composites. The analytical results are verified against finite element solutions for a wide range of anisotropic laminated layups yielding high accuracy. A parametric study is conducted to examine the effects of ply orientations, element thickness, finite element type, column size, and material properties. Comparisons with numerical results reveal a very high accuracy across the entire parametric profile and a linear correlation between the percentage error and a non-dimensional condensed parameter is extracted and plotted. |
| format | Article |
| id | doaj-art-e2001dc86fa740e69fb365bcae5933c6 |
| institution | OA Journals |
| issn | 2079-6439 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fibers |
| spelling | doaj-art-e2001dc86fa740e69fb365bcae5933c62025-08-20T02:17:20ZengMDPI AGFibers2079-64392025-03-011343510.3390/fib13040035Buckling Solution of Fixed–Free Anisotropic Laminated Composite Columns Under Axial LoadingRund Al-Masri0Hayder A. Rasheed1Bacim Alali2Structural Project Engineer I, DB Sterlin Consultants, Inc., Chicago, IL 60606, USADepartment of Civil Engineering, Kansas State University, Manhattan, KS 66506, USADepartment of Mathematics, Kansas State University, Manhattan, KS 66506, USAA generalized buckling solution for anisotropic laminated composite fixed–free columns under axial compression is developed using the critical stability matrix. The axial, coupling, and flexural equivalent stiffness coefficients of the anisotropic layup are determined from the generalized constitutive relationship through the static condensation of the composite stiffness matrix. The derived formula reduces down to the Euler buckling equation for isotropic and some special laminated composites. The analytical results are verified against finite element solutions for a wide range of anisotropic laminated layups yielding high accuracy. A parametric study is conducted to examine the effects of ply orientations, element thickness, finite element type, column size, and material properties. Comparisons with numerical results reveal a very high accuracy across the entire parametric profile and a linear correlation between the percentage error and a non-dimensional condensed parameter is extracted and plotted.https://www.mdpi.com/2079-6439/13/4/35stability of columnsfinite element analysisclamped–free columnsanisotropic laminated compositesaxial compression |
| spellingShingle | Rund Al-Masri Hayder A. Rasheed Bacim Alali Buckling Solution of Fixed–Free Anisotropic Laminated Composite Columns Under Axial Loading Fibers stability of columns finite element analysis clamped–free columns anisotropic laminated composites axial compression |
| title | Buckling Solution of Fixed–Free Anisotropic Laminated Composite Columns Under Axial Loading |
| title_full | Buckling Solution of Fixed–Free Anisotropic Laminated Composite Columns Under Axial Loading |
| title_fullStr | Buckling Solution of Fixed–Free Anisotropic Laminated Composite Columns Under Axial Loading |
| title_full_unstemmed | Buckling Solution of Fixed–Free Anisotropic Laminated Composite Columns Under Axial Loading |
| title_short | Buckling Solution of Fixed–Free Anisotropic Laminated Composite Columns Under Axial Loading |
| title_sort | buckling solution of fixed free anisotropic laminated composite columns under axial loading |
| topic | stability of columns finite element analysis clamped–free columns anisotropic laminated composites axial compression |
| url | https://www.mdpi.com/2079-6439/13/4/35 |
| work_keys_str_mv | AT rundalmasri bucklingsolutionoffixedfreeanisotropiclaminatedcompositecolumnsunderaxialloading AT hayderarasheed bucklingsolutionoffixedfreeanisotropiclaminatedcompositecolumnsunderaxialloading AT bacimalali bucklingsolutionoffixedfreeanisotropiclaminatedcompositecolumnsunderaxialloading |