Skip to main content
Top
Published in: International Journal of Mechanics and Materials in Design 3/2016

04-04-2015

Finite element analysis of laminated composite plates using zeroth-order shear deformation theory

Authors: Priyankar Datta, M. C. Ray

Published in: International Journal of Mechanics and Materials in Design | Issue 3/2016

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this paper a generalized finite element model is developed for static and dynamic analyses of laminated composite plates using zeroth-order shear deformation theory (ZSDT). The theory ensures the parabolic distribution of transverse shear stresses across the plate thickness. A four-noded plate element is considered in this model and the generalized nodal variables are expressed using Lagrangian linear interpolation functions and Hermitian cubic interpolation functions. The solutions of the finite element model have been compared with the existing solutions for symmetric and antisymmetric laminated composite plates. The comparison confirms that the ZSDT can be efficiently used for finite element analysis of both thin and thick plates with high accuracy.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Literature
go back to reference Barut, A., Madenci, E., Nemeth, M.P.: Stress and buckling analyses of laminates with a cutout using a {3,0}—plate theory. J. Mech. Mater. Struct. 6, 827–868 (2011)CrossRef Barut, A., Madenci, E., Nemeth, M.P.: Stress and buckling analyses of laminates with a cutout using a {3,0}—plate theory. J. Mech. Mater. Struct. 6, 827–868 (2011)CrossRef
go back to reference Barut, A., Madenci, E., Tessler, A.: C0-Continuous Triangular Plate Element for Laminated Composite and Sandwich Plates Using the {2, 2}–Refined Zigzag Theory, 106, pp. 835–853 (2013) Barut, A., Madenci, E., Tessler, A.: C0-Continuous Triangular Plate Element for Laminated Composite and Sandwich Plates Using the {2, 2}–Refined Zigzag Theory, 106, pp. 835–853 (2013)
go back to reference Bogner, F. K., Fox, R. L., Schmidt, Jr. L. A.: The generation of inter-element-compatible stiffness and mass matrices by the use of interpolation formulas. In: Proceedings of the Conference on Matrix Methods in Structural Mechanics, AFFDL-TR-66-80, Air Force Institute of Technology, Wright-Patterson Air Force Base, Ohio, pp. 397–443 Bogner, F. K., Fox, R. L., Schmidt, Jr. L. A.: The generation of inter-element-compatible stiffness and mass matrices by the use of interpolation formulas. In: Proceedings of the Conference on Matrix Methods in Structural Mechanics, AFFDL-TR-66-80, Air Force Institute of Technology, Wright-Patterson Air Force Base, Ohio, pp. 397–443
go back to reference Dai, K.Y., Liu, G.R., Lim, K.M., Chen, X.L.: A mesh-free method for static and free vibration analysis of shear deformable laminated composite plates. J. Sound Vib. 269, 633–652 (2004)CrossRef Dai, K.Y., Liu, G.R., Lim, K.M., Chen, X.L.: A mesh-free method for static and free vibration analysis of shear deformable laminated composite plates. J. Sound Vib. 269, 633–652 (2004)CrossRef
go back to reference Ghugal, Y.M., Shimpi, R.P.: A review of refined shear deformation theories of isotropic and anisotropic laminated plates. J. Reinf. Plast. Compos. 21, 775–813 (2002)CrossRef Ghugal, Y.M., Shimpi, R.P.: A review of refined shear deformation theories of isotropic and anisotropic laminated plates. J. Reinf. Plast. Compos. 21, 775–813 (2002)CrossRef
go back to reference Krishna Murthy, A.V.: Higher order theory for vibration of thick plates. AIAA J. 15, 1823–1824 (1977)CrossRefMATH Krishna Murthy, A.V.: Higher order theory for vibration of thick plates. AIAA J. 15, 1823–1824 (1977)CrossRefMATH
go back to reference Lo, K.H., Christensen, R.M., Wu, E.M.: A high-order theory of plate deformation, part 2: laminated plates. ASME J. Appl. Mech. 44, 669–676 (1977)CrossRefMATH Lo, K.H., Christensen, R.M., Wu, E.M.: A high-order theory of plate deformation, part 2: laminated plates. ASME J. Appl. Mech. 44, 669–676 (1977)CrossRefMATH
go back to reference Lo, K.H., Christensen, R.M., Wu, E.M.: Stress solution determination for higher order plate theory. Int. J. Solids Struct. 14, 655–662 (1978)CrossRefMATH Lo, K.H., Christensen, R.M., Wu, E.M.: Stress solution determination for higher order plate theory. Int. J. Solids Struct. 14, 655–662 (1978)CrossRefMATH
go back to reference Murthy, M.V.V.: An Improved Transverse Shear Deformation Theory for Laminated Anisotropic plates. NASA Tech. Paper 1903, pp. 1–37 (1981) Murthy, M.V.V.: An Improved Transverse Shear Deformation Theory for Laminated Anisotropic plates. NASA Tech. Paper 1903, pp. 1–37 (1981)
go back to reference Noor, A.K.: Free vibration of multi-layered composite plates. AIAA J. 11, 1038–1039 (1972) Noor, A.K.: Free vibration of multi-layered composite plates. AIAA J. 11, 1038–1039 (1972)
go back to reference Ray, M.C.: Zeroth-order shear deformation theory for laminated composite plates. ASME J. Appl. Mech. 70, 374–380 (2003)CrossRefMATH Ray, M.C.: Zeroth-order shear deformation theory for laminated composite plates. ASME J. Appl. Mech. 70, 374–380 (2003)CrossRefMATH
go back to reference Reddy, J.N.: A simple higher order theory for laminated composite plates. ASME J. Appl. Mech. 51, 745–752 (1984)CrossRefMATH Reddy, J.N.: A simple higher order theory for laminated composite plates. ASME J. Appl. Mech. 51, 745–752 (1984)CrossRefMATH
go back to reference Reddy, J.N.: Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. CRC Press, Boca Raton (2004)MATH Reddy, J.N.: Mechanics of Laminated Composite Plates and Shells: Theory and Analysis. CRC Press, Boca Raton (2004)MATH
go back to reference Reissner, E.: A consistent treatment of transverse shear deformations in laminated anisotropic plates. AIAA J. 10(5), 716–718 (1972)CrossRef Reissner, E.: A consistent treatment of transverse shear deformations in laminated anisotropic plates. AIAA J. 10(5), 716–718 (1972)CrossRef
go back to reference Reissner, E., Stavsky, Y.: Bending and stretching of certain types of heterogeneous aeolotropic elastic plates. ASME J. Appl. Mech. 28, 402–412 (1961)MathSciNetCrossRefMATH Reissner, E., Stavsky, Y.: Bending and stretching of certain types of heterogeneous aeolotropic elastic plates. ASME J. Appl. Mech. 28, 402–412 (1961)MathSciNetCrossRefMATH
go back to reference Thai, H.T., Choi, D.H.: A simple first-order shear deformation theory for laminated composite plates. Compos. Struct. 106, 754–763 (2013)CrossRef Thai, H.T., Choi, D.H.: A simple first-order shear deformation theory for laminated composite plates. Compos. Struct. 106, 754–763 (2013)CrossRef
go back to reference Topal, U., Uzman, Ü.: Free vibration analysis of laminated plates using first-order shear deformation theory. Springer Proc Phys. 111, 93–98 (2007) Topal, U., Uzman, Ü.: Free vibration analysis of laminated plates using first-order shear deformation theory. Springer Proc Phys. 111, 93–98 (2007)
go back to reference Whitney, J.M.: The effect of transverse shear deformation in the bending of laminated plates. J. Compos. Mater. 3, 534–547 (1969)CrossRef Whitney, J.M.: The effect of transverse shear deformation in the bending of laminated plates. J. Compos. Mater. 3, 534–547 (1969)CrossRef
go back to reference Whitney, J.M.: Shear correction factors for orthotropic laminates under static load. ASME J. Appl. Mech. 40, 302–304 (1973)CrossRef Whitney, J.M.: Shear correction factors for orthotropic laminates under static load. ASME J. Appl. Mech. 40, 302–304 (1973)CrossRef
go back to reference Whitney, J.M., Leissa, A.W.: Analysis of heterogeneous anisotropic plates. ASME J. Appl. Mech. 36, 261–266 (1969)CrossRefMATH Whitney, J.M., Leissa, A.W.: Analysis of heterogeneous anisotropic plates. ASME J. Appl. Mech. 36, 261–266 (1969)CrossRefMATH
go back to reference Whitney, J.M., Pagano, N.J.: Shear deformation in heterogeneous anisotropic plates. ASME J. Appl. Mech. 37(4), 1031–1036 (1970)CrossRefMATH Whitney, J.M., Pagano, N.J.: Shear deformation in heterogeneous anisotropic plates. ASME J. Appl. Mech. 37(4), 1031–1036 (1970)CrossRefMATH
Metadata
Title
Finite element analysis of laminated composite plates using zeroth-order shear deformation theory
Authors
Priyankar Datta
M. C. Ray
Publication date
04-04-2015
Publisher
Springer Netherlands
Published in
International Journal of Mechanics and Materials in Design / Issue 3/2016
Print ISSN: 1569-1713
Electronic ISSN: 1573-8841
DOI
https://doi.org/10.1007/s10999-015-9307-0

Other articles of this Issue 3/2016

International Journal of Mechanics and Materials in Design 3/2016 Go to the issue

Premium Partners