A New C Eight-Noded Plate Element for Static & Dynamic , Analyses of Composite Laminates

  • M. Ganapathi Institute of Armament Technology, Pune
  • B.P. Patel Institute of Armament Technology, Pune
  • M. Touratier Ecole National Superieure d'Arts et Metiers, Paris
Keywords: Multilayered composite plates, Transverse stresses, Vibration and buckling

Abstract

This paper deals witU a new 48-degrees-of-freedom rectangular finite element for analysing moderately thick multilayered composite plates. The formulation is based on a kinematics which allows one to exactly ensure the continuity conditions for the displacements, and the transverse strsses at the interfaces between the layers of a laminated structure and zeros1lress conditiQns at the top and bottom surfaces of the plate. The shear correction factorsare not required in the formulation, as the transverse shear deformations are defined usingtrigonometric 'runctions that are of higher order. The effectiveness of the element is testedagainst standard problems concerning statics, vibration and buckling, for which exact three dimensional/numerical solutions areiavailable.

Author Biographies

M. Ganapathi, Institute of Armament Technology, Pune
Institute of Armament Technology, Pune
B.P. Patel, Institute of Armament Technology, Pune
Institute of Armament Technology, Pune
M. Touratier, Ecole National Superieure d'Arts et Metiers, Paris
Ecole National Superieure d'Arts et Metiers, Paris

References

Noor, A.K. '& Burton, W .S. Assessment of shear deformation theories for multilayered composite plates. Appl. Mech. Rrv. 1989, 42, 1-13.

Kapania, R.K. & Racita, S. Recent advances in analysis of laminated beams and plates, Part I: Shear effects and buckling. Am. Inst. Aeronaut. Astronaut. .1989, 27, 923-34.

Reddy. J.N. On refined computational models of composite laminates. Int. J. Numer. Methods Engg., 1989, 27, 361-82.

Sciuva, M.Di. An improved shear-deformation theory for moderately thick multilayered anisotropic shells and plates. J. App/. Mech., 1987, 54,589-96.

Reddy, I.N. & Barbero, E. J. A plate bending element based on a generalised laminate plate theory. Int. J. Numer. Methods Engg., 1989, 28,2275-292.

Cho, M. & Parmerter, R. R. An efficient higher order plate theory for laminated composites. Computers and Structure, 1992, 20, 113-23.

Touratier, M. An efficient standard plate theory .Int. J. Engg. Sci. , 1991, 29, 901-16.

Beakou, A. & Touratier ,: M. A rectangular finite element for analysing composite multilayered shallow shells in statics, vibration and buckling. Int. J. Numer. Methods Engg., 1993, 36, 627-53.

Jones, R.M. Mechanics of composite materials. McGraw-Hill, New York, 1975.

Sriniv,s, S. & Rao, A.K. Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates. Int. J. Solids Struct., 1970, 6, 1463-481.

Pagano, N.J. Exact solutions for rectangular bidirectional composites and sandwich plates. J. Compos. Mater., 1970,

, 20-34.

Reddy, J.N. & Khdeir,A.A. Buckling and vibration of laminated composite plates using various theories. Am. Inst. Aeronaut. Astronaut., 1989, 27, 1808-817.

Published
2013-01-01
How to Cite
Ganapathi, M., Patel, B., & Touratier, M. (2013). A New C Eight-Noded Plate Element for Static & Dynamic , Analyses of Composite Laminates. Defence Science Journal, 50(3), 317-323. https://doi.org/10.14429/dsj.50.3738
Section
Materials Science & Metallurgy