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Tytuł artykułu

An equivalent single layer shear deformation plate theory with superposed shape functions for laminated composite plates

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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
A single layer shear deformation plate theory with superposed shape functions for laminated composite plates has been proposed. Some of the previously developed, five degrees of freedom shear deformation theories, including parabolic [1], hyperbolic [2], exponential [3] and trigonometric [4] plate theories have been superposed by applying different theories in the different in- plane directions of the composite plate. Statics and dynamics of composite plate problems have been investigated. It was obtained that using different shape functions in the different in-plane directions may decrease the percentage error of stress and deflection. Present hyperbolic-exponential and parabolic-exponential theories predict stiffer properties (give lower bending and stress values, and higher frequency, and buckling loads when compared to the 3-D elasticity). Some improvements were determined for y-z component of the transverse shear stress using hyperbolic-exponential and parabolic-exponential theories for symmetric cross-ply composite plates when compared to available single shape function plate models. Global behaviours (vibration frequency and critical buckling loads) are predicted within %5 accuracy similar to plate theories with single shape functions.
Rocznik
Strony
239--262
Opis fizyczny
Bibliogr. 25 poz., rys.
Twórcy
autor
  • Department of Mechanical Engineering, Trakya University, 22030, Edirne, Turkey
Bibliografia
  • 1. J.N. Reddy, A simple higher-order theory for laminated composite plates, Journal of Applied Mechanics, 51, 745–752,1984.
  • 2. K.P. Soldatos, A transverse shear deformation theory for homogeneous monoclinic plates, Acta Mechanica, 94, 1995–220,1992.
  • 3. M. Karama, K.S. Afaq, S. Mistou, Mechanical behavior of laminated composite beam by new multi-layered laminated composite structures model with transverse shear stress continuity, International Journal of Solids and Structures, 40, 1525–1546, 2003.
  • 4. C.H. Thai, A.J.M. Ferreira, S.P.A. Bordos, T. Rabczuk, H. Nguyen-Xuan, Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory, European Journal of Mechanics A- Solids, 43, 89–108, 2014.
  • 5. R.D. Mindlin, Influence of rotary inertia and shear on flexural motions of isotropic elastic plates, Journal of Applied Mechanics, 18, A31–A38, 1951.
  • 6. E. Reissner, On transverse bending of plates including the effects of transverse sheart deformation, International Journal of Solids and Structures, 25, 495–502, 1975.
  • 7. S.A. Ambartsumian, On the theory of bending plates, Series of the Academy of Sciences of the Soviet Union, 5, 69–77, 1958 [in Russian].
  • 8. M. Troutier, An efficient standard plate theory, International Journal of Engineering Sciences, 29, 8, 901–916, 1991.
  • 9. M. Aydogdu, A new shear deformation theory for laminated composite plates, Composite Structures, 89, 94–101, 2009.
  • 10. J.L. Mantari, A.S. Oktem, C.G. Soares, A new trigonometric shear deformation theory for isotropic, laminated composite and sandwich plates, International Journal of Solids and Structures, 49, 1, 43–53, 2012.
  • 11. T. Timarci, K.P. Soldatos, Comparative dynamic studies for symmetrical cross-ply circular cylindrical shells on the basis of a unified shear-deformable shell theory, Journal of Sound and Vibration, 187, 4, 609–624, 1995.
  • 12. M. Aydogdu, T. Timarci, Vibration analysis of cross-ply laminated square plates with general boundary conditions, Composites Science and Technology, 63, 7, 1061–1070, 2003.
  • 13. M. Aydogdu, Comparison of various shear deformation theories for bending, buckling and vibration of rectangular symmetric cross-ply plate with simply supported edges, Journal of Composite Materials, 40, 23, 2143–2155, 2006.
  • 14. C.P. Wu, W.Y. Chen, Vibration and stability of laminated plates based on a local high order plate theory, Journal of Sound Vibration, 177, 4, 503–520, 1994.
  • 15. K.N. Cho, C.W. Bert, A.G. Striz, Free vibrations of laminated rectangular plates analysed by higher order individual-layer theory, Journal of Sound and Vibration, 145, 3, 429–442, 1991.
  • 16. S. Abrate, M. Di Sciuva, Equivalent single layer theories for composite and sandwich structures: a review, Composite Structures, 179, 482–494, 2017.
  • 17. T. Timarci, M. Aydogdu, Buckling of symmetric cross-ply square plates with various boundary conditions, Composite Structures, 68, 4, 381–389, 2017.
  • 18. C.T. Herakovich, Mechanics of Composite Materials, McGraw-Hill, New York, 1998.
  • 19. H.L. Langhaar, Energy Methods in Applied Mechanics, John Wiley and Sons, 1962.
  • 20. J.M. Whitney, Structural Analysis of Laminated Plates, Technomic, Lancaster, 1987.
  • 21. N.J. Pagano, S.J. Hatfield, Elastic behaviour of multilayered bidirectional composites, American Institute of Aeronautics and Astronautics Journal, 10, 931–933, 1972.
  • 22. N.J. Pagano, Exact solutions for rectangular bidirectional composites and sandwich plates, Journal of Composite Materials, 4, 21–35, 1970.
  • 23. A.K. Noor, Free vibrations of multilayered composite plates, American Institute of Aeronautics and Astronautics Journal, 11, 7, 1038–1039, 1972.
  • 24. N.D. Phan, J.N. Reddy, Analyses of laminated composite plates using a higher-order deformation theory, International Journal for Numerical Methods in Engineering, 21, 2201–2219, 1985.
  • 25. A.K Noor, Stability of multilayered composite plates, Fibre Science Technology, 8, 2, 81–89, 1975.
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-f991b91a-8c2a-48f8-904d-e915d38eb5dc
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