On the nonlinear behaviour of bimodular multilayer ed plates.

Giacinto Porco; Giuseppe Spandea; Raffaele Zinno

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1991)

  • Volume: 2, Issue: 4, page 317-337
  • ISSN: 1120-6330

Abstract

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In an earlier study [16] the nonlinear behaviour of unimodular laminated plates was studied. This paper, following the previous study, concerns a large deflection analysis of moderately thick rectangular plates having arbitrary boundary conditions and finite thickness shear moduli. The plates are manufactured in bimodular materials and constructed in a cross-ply fashion or in a single layer with arbitrary fibre direction angle. Numerical results are obtained by a finite element technique in which are specified five degrees of freedom, three displacements and two bending slopes per node. Furthermore, the effects of plate aspect ratio, bimodularity ratio and fibre orientation are studied; finally, comparisons with some results available in literature are also given.

How to cite

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Porco, Giacinto, Spandea, Giuseppe, and Zinno, Raffaele. "On the nonlinear behaviour of bimodular multilayer ed plates.." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 2.4 (1991): 317-337. <http://eudml.org/doc/244331>.

@article{Porco1991,
abstract = {In an earlier study [16] the nonlinear behaviour of unimodular laminated plates was studied. This paper, following the previous study, concerns a large deflection analysis of moderately thick rectangular plates having arbitrary boundary conditions and finite thickness shear moduli. The plates are manufactured in bimodular materials and constructed in a cross-ply fashion or in a single layer with arbitrary fibre direction angle. Numerical results are obtained by a finite element technique in which are specified five degrees of freedom, three displacements and two bending slopes per node. Furthermore, the effects of plate aspect ratio, bimodularity ratio and fibre orientation are studied; finally, comparisons with some results available in literature are also given.},
author = {Porco, Giacinto, Spandea, Giuseppe, Zinno, Raffaele},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Plates; Bimodulus; Composites; large deflection analysis; moderately thick rectangular plates; arbitrary boundary conditions; finite thickness shear moduli; cross-ply fashion; single layer with arbitrary fibre direction angle; five degrees of freedom; three displacements; two bending slopes per node; effects of plate aspect ratio; bimodularity ratio; fibre orientation},
language = {eng},
month = {12},
number = {4},
pages = {317-337},
publisher = {Accademia Nazionale dei Lincei},
title = {On the nonlinear behaviour of bimodular multilayer ed plates.},
url = {http://eudml.org/doc/244331},
volume = {2},
year = {1991},
}

TY - JOUR
AU - Porco, Giacinto
AU - Spandea, Giuseppe
AU - Zinno, Raffaele
TI - On the nonlinear behaviour of bimodular multilayer ed plates.
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1991/12//
PB - Accademia Nazionale dei Lincei
VL - 2
IS - 4
SP - 317
EP - 337
AB - In an earlier study [16] the nonlinear behaviour of unimodular laminated plates was studied. This paper, following the previous study, concerns a large deflection analysis of moderately thick rectangular plates having arbitrary boundary conditions and finite thickness shear moduli. The plates are manufactured in bimodular materials and constructed in a cross-ply fashion or in a single layer with arbitrary fibre direction angle. Numerical results are obtained by a finite element technique in which are specified five degrees of freedom, three displacements and two bending slopes per node. Furthermore, the effects of plate aspect ratio, bimodularity ratio and fibre orientation are studied; finally, comparisons with some results available in literature are also given.
LA - eng
KW - Plates; Bimodulus; Composites; large deflection analysis; moderately thick rectangular plates; arbitrary boundary conditions; finite thickness shear moduli; cross-ply fashion; single layer with arbitrary fibre direction angle; five degrees of freedom; three displacements; two bending slopes per node; effects of plate aspect ratio; bimodularity ratio; fibre orientation
UR - http://eudml.org/doc/244331
ER -

References

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  1. ASHTON, J. E. - WHITNEY, J. M., Theory of laminated plates. Technomic Publishing Co. Inc., 1970. 
  2. SAINT VENANT, B., Notes to the 3rd ed. of Navier's, Résumé des leçons de la résistance des corps solides. Paris1864, 175. 
  3. TIMOSHENKO, S., Strength of materials. In: Advanced Theory and Problems 2nd éd., Van Nostrand, Princeton, New Jersey 1941, part 2, 362-369. JFM67.0794.03
  4. AMBARTSUMYAN, S. A., The axisymmetric problem of a circular cylindrical shell made of material with different stiffnesses in tension and compression. Izvestiya Akademiya Nauk SSSR, Mekhanika, n. 4, 77-85 (Engl, trans. National Tech. Information Center Document AD. 675312, 1967). 
  5. JONES, R. M. - MORGAN, H. S., Bending and extension of cross-ply laminates with different moduli in tension and compression. Computers & Structures, vol. 11, 1980, 181-190. Zbl0467.73094
  6. BERT, C. W., Models for fibrous composites with different properties in tension and in compression. J. of Engng. Mat. Tech., Trans. of ASME 99H(4), 1977, 344-349. 
  7. AMBARTSUMYAN, S. A. - KHACHATRYAN, A. A., Basic equations in the theory of elasticity for materials with different stiffness in tension and compression. Inzh. Zhur. MTT2, 1966, 44-53 (in Russian). 
  8. AMBARTSUMYAN, S. A., Basic equations and relations in the theory of anisotropic bodies with different moduli in tension and compression. Inzh. Zhur. MTT3, 1969, 51-61 (in Russian). 
  9. TABADDOR, F., Constitutive different equations for bimodulus elastic materials. AIAA J., vol. 10(4), 1972, 516-518. 
  10. BERT, C. W. - REDDY, J. N. - SUDHAKAR REDDY, V. - CHAO, W. C., Bending of thick rectangular plates laminated of bimodulus composite materials. AIAA J., vol. 19(10), 1981, 1342-1349. Zbl0464.73083
  11. MINDLIN, R. D., Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates. J. of Appl. Mech., 1951, 31-38. Zbl0044.40101
  12. VON KARMAN, T., Festigkeitsprobleme in Maschinenbau. Encycl. Math. Wiss., vol. 4, 1910, 348-351. 
  13. VON KARMAN, T. - SECHLER, E. E. - DONNELL, L. H., The strength of thin plates in compression. Trans. ASME, vol. 54, 1932, 53-57. Zbl0004.07802
  14. GORDANINEJAD, F., Nonlinear bending of anisotropic bimodular composite plates. Computers & Structures, vol. 33, 1989, 615-620. 
  15. GORDANINEJAD, F., A finite element model for the analysis of thick, anisotropic, bimodular, fibrous-composite plates. Computers & Structures, vol. 31, 1989, 907-912. Zbl0705.73231
  16. PORCO, G. - SPADEA, G. - ZINNO, R., A geometrically nonlinear analysis of laminated composite plates using a shear deformation theory. Atti Acc. Lincei Rend. fis., s. 8, vol. 83, 1989, 159-176. Zbl0732.73027MR1142455
  17. BRUNO, D. - PORCO, G. - ZINNO, R., Finite element analysis of nonlinear laminated composite plates. Proceedings of International Meeting UPSA IV (Capri, June 14-16, 1989). Zbl0761.73106
  18. REDDY, J. N. - CHAO, W. C., Nonlinear bending of bimodular-material plates. Int. J. Solids Structures, vol. 19, n. 3 , 1983, 229-237. Zbl0502.73059
  19. REDDY, J. N. - CHAO, W. C., Finite-element analysis of laminated bimodulus composite material plates. Computers & Structures, vol. 12, 1980, 245-251. Zbl0449.73079

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