Geometrically nonlinear analysis of laminated composite mindlin plate with mixed finite element method
Abstract
The geometric nonlinear behavior of laminated composite plates in the scope of large deflection under static loading is analyzed by the method of mixed finite elements. Field equations are derived from the conjunction of Mindlin plate theory and von Kármán strain definitions. Nonlinear finite element equations are obtained through the Hellinger-Reissner principle. Later on incremental formulation is adopted to obtain the linearized form of finite element equations which are suitable for a mixed finite element solution. In the procedure of finite element solution Newton-Raphson method is used to obtain numerical results. The formulation which is presented for analysis of moderately thick plates can automatically overcome the shear locking problem which is faced in thin plate solution, in addition; the method provides the possibility of obtaining stres resultants directly from numerical procedure.
Keywords
References
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Details
Primary Language
English
Subjects
Industrial Biotechnology
Journal Section
Research Article
Publication Date
September 1, 2013
Submission Date
December 5, 2012
Acceptance Date
February 21, 2013
Published in Issue
Year 2013 Volume: 31 Number: 3
APA
Kutlu, A., & Omurtag, M. H. (2013). Geometrically nonlinear analysis of laminated composite mindlin plate with mixed finite element method. Sigma Journal of Engineering and Natural Sciences, 31(3), 298-306. https://izlik.org/JA29PK45RA
AMA
1.Kutlu A, Omurtag MH. Geometrically nonlinear analysis of laminated composite mindlin plate with mixed finite element method. SIGMA. 2013;31(3):298-306. https://izlik.org/JA29PK45RA
Chicago
Kutlu, Akif, and Mehmet H. Omurtag. 2013. “Geometrically Nonlinear Analysis of Laminated Composite Mindlin Plate With Mixed Finite Element Method”. Sigma Journal of Engineering and Natural Sciences 31 (3): 298-306. https://izlik.org/JA29PK45RA.
EndNote
Kutlu A, Omurtag MH (September 1, 2013) Geometrically nonlinear analysis of laminated composite mindlin plate with mixed finite element method. Sigma Journal of Engineering and Natural Sciences 31 3 298–306.
IEEE
[1]A. Kutlu and M. H. Omurtag, “Geometrically nonlinear analysis of laminated composite mindlin plate with mixed finite element method”, SIGMA, vol. 31, no. 3, pp. 298–306, Sept. 2013, [Online]. Available: https://izlik.org/JA29PK45RA
ISNAD
Kutlu, Akif - Omurtag, Mehmet H. “Geometrically Nonlinear Analysis of Laminated Composite Mindlin Plate With Mixed Finite Element Method”. Sigma Journal of Engineering and Natural Sciences 31/3 (September 1, 2013): 298-306. https://izlik.org/JA29PK45RA.
JAMA
1.Kutlu A, Omurtag MH. Geometrically nonlinear analysis of laminated composite mindlin plate with mixed finite element method. SIGMA. 2013;31:298–306.
MLA
Kutlu, Akif, and Mehmet H. Omurtag. “Geometrically Nonlinear Analysis of Laminated Composite Mindlin Plate With Mixed Finite Element Method”. Sigma Journal of Engineering and Natural Sciences, vol. 31, no. 3, Sept. 2013, pp. 298-06, https://izlik.org/JA29PK45RA.
Vancouver
1.Akif Kutlu, Mehmet H. Omurtag. Geometrically nonlinear analysis of laminated composite mindlin plate with mixed finite element method. SIGMA [Internet]. 2013 Sep. 1;31(3):298-306. Available from: https://izlik.org/JA29PK45RA