Research Article

LINEAR STATIC ANALYSIS OF LAMINATED COMPOSITE PLATES WITH LAYERWISE FINITE ELEMENT

Volume: 32 Number: 3 September 1, 2014
  • Kazım Ahmet Haşim
  • Ahmet Işın Saygun

LINEAR STATIC ANALYSIS OF LAMINATED COMPOSITE PLATES WITH LAYERWISE FINITE ELEMENT

Abstract

This article is about a layerwise finite element which is developed for the linear static analysis of laminated composite plates. In the first part; the paper presents a review of the literature involving the available theories and their drawbacks for multilayered composite plates. A second part reviews a relevant keypoint (zig-zag form of the displacement field in the thickness direction) that should be considered for an accurate stress and strain field. In the third part, the paper explains the layerwise finite element and the derivation of its stiffness matrix. The final part of the paper is devoted to giving a comparison of selected results that can be acquired either by layerwise finite element(Genson) or the other available theories in the literature.

Keywords

References

  1. [1] Kirchhoff G., “Uber das Gleichgewicht und die Bewegung einer elastishen Scheibe”, J.Angew Math., 40, 51-88, 1850.
  2. [2] Bhar, A., Phoenix, S.S. and Satsangi, S.K. (2010), “Finite element analysis of laminated composite stiffened plates using FSDT and HSDT: A comparative perspective”, Composite Structures., 92, 312-321.
  3. [3] Love, A.E.H. (1927), The Mathematical Theory of Elasticity, (4th Edition), Cambridge Univ Press, Cambridge.
  4. [4] Cauchy, A.L. (1828), “Sur l’equilibre et le mouvement d’une plaque solide”, Exercises de Mathematique., 3, 328-355.
  5. [5] Thai, C.H., Tran L.C., Tran D.T., Nguyen-Thoi, T. and Nguyen-Xuan, H. (2012), “Analysis of laminated composite plates using higher order shear deformation plate theory and node based smoothed discrete shear gap method”, Applied Mathematical Modelling., 36, 5657- 5677.
  6. [6] Poisson, S.D. (1829), “Memoire sur l’equilibre et le mouvement des corps elastique”, Mem. Acad. Sci., 8, 357.
  7. [7] Reissner, E. (1945), “The effect of transverse shear deformation on the bending of elastic plates”, ASME J. Appl. Mech., 12, 69-76.
  8. [8] Mindlin, R.D. (1951), “Influence of rotary inertia and shear in flexural motions of isotropic elastic plates”, ASME J. Appl. Mech., 18, 1031-1036.

Details

Primary Language

English

Subjects

Civil Engineering

Journal Section

Research Article

Authors

Kazım Ahmet Haşim This is me
Türkiye

Ahmet Işın Saygun This is me
Türkiye

Publication Date

September 1, 2014

Submission Date

February 12, 2014

Acceptance Date

May 22, 2014

Published in Issue

Year 2014 Volume: 32 Number: 3

APA
Haşim, K. A., & Saygun, A. I. (2014). LINEAR STATIC ANALYSIS OF LAMINATED COMPOSITE PLATES WITH LAYERWISE FINITE ELEMENT. Sigma Journal of Engineering and Natural Sciences, 32(3), 297-309. https://izlik.org/JA47GZ46FM
AMA
1.Haşim KA, Saygun AI. LINEAR STATIC ANALYSIS OF LAMINATED COMPOSITE PLATES WITH LAYERWISE FINITE ELEMENT. SIGMA. 2014;32(3):297-309. https://izlik.org/JA47GZ46FM
Chicago
Haşim, Kazım Ahmet, and Ahmet Işın Saygun. 2014. “LINEAR STATIC ANALYSIS OF LAMINATED COMPOSITE PLATES WITH LAYERWISE FINITE ELEMENT”. Sigma Journal of Engineering and Natural Sciences 32 (3): 297-309. https://izlik.org/JA47GZ46FM.
EndNote
Haşim KA, Saygun AI (September 1, 2014) LINEAR STATIC ANALYSIS OF LAMINATED COMPOSITE PLATES WITH LAYERWISE FINITE ELEMENT. Sigma Journal of Engineering and Natural Sciences 32 3 297–309.
IEEE
[1]K. A. Haşim and A. I. Saygun, “LINEAR STATIC ANALYSIS OF LAMINATED COMPOSITE PLATES WITH LAYERWISE FINITE ELEMENT”, SIGMA, vol. 32, no. 3, pp. 297–309, Sept. 2014, [Online]. Available: https://izlik.org/JA47GZ46FM
ISNAD
Haşim, Kazım Ahmet - Saygun, Ahmet Işın. “LINEAR STATIC ANALYSIS OF LAMINATED COMPOSITE PLATES WITH LAYERWISE FINITE ELEMENT”. Sigma Journal of Engineering and Natural Sciences 32/3 (September 1, 2014): 297-309. https://izlik.org/JA47GZ46FM.
JAMA
1.Haşim KA, Saygun AI. LINEAR STATIC ANALYSIS OF LAMINATED COMPOSITE PLATES WITH LAYERWISE FINITE ELEMENT. SIGMA. 2014;32:297–309.
MLA
Haşim, Kazım Ahmet, and Ahmet Işın Saygun. “LINEAR STATIC ANALYSIS OF LAMINATED COMPOSITE PLATES WITH LAYERWISE FINITE ELEMENT”. Sigma Journal of Engineering and Natural Sciences, vol. 32, no. 3, Sept. 2014, pp. 297-09, https://izlik.org/JA47GZ46FM.
Vancouver
1.Kazım Ahmet Haşim, Ahmet Işın Saygun. LINEAR STATIC ANALYSIS OF LAMINATED COMPOSITE PLATES WITH LAYERWISE FINITE ELEMENT. SIGMA [Internet]. 2014 Sep. 1;32(3):297-309. Available from: https://izlik.org/JA47GZ46FM

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