Engineering Transactions, 51, 4, pp. 445–459, 2003

Stability and Ultimate Load of Three-Layered Plates – A Parametric Study

R. Grądzki
Technical University of Łodź
Poland

K. Kowal-Michalska
Technical University of Łodź
Poland

This work deals with the analysis of influence of some geometrical and material parameters of layers on the mass, critical stress and ultimate load of three-layered plates. The plates are built of metal outer layers and a composite core. To obtain the maximum load value, the analysis is carried out in the elasto-plastic range basing on the Tsai-Wu criterion and Prandtl-Reuss equations. The solution is obtained by an analytical-numerical method.
Keywords: metal-composite-metal panels; stability analysis; ultimate load; lightweight
Full Text: PDF

References

N. ASNAFI, G. LANGSTEDT et al., A new lightweight metal-composite-metal panel for applications in the automotive and other industries, Thin-Walled Structures 36, l, 289–310, 2000.

C.Y. CHIA, Geometrically nonlinear behaviour of composite plates: a review, Appl. Mech.

Rev., 41, 439–451, 1988.

J.R. GRUZ, C.H. SHAH, A.S. POSTYN, Properties of two carbon composite materials using LTM&5 epoxy resin, NASA Technical Memorandum, 110286, Nov., 1996.

D.J. DAWE, S. WANG, Buckling of composite plates and plate structures using the spline finite strip method, Composites Engineering, 4, 11, 1099–1117, 1994.

T.R. GRAYES-SMITH, A variational method for large deflection elasto-plastic theory and its application to arbitrary flat plates, in Structure, Solid Mechanics and Engineering. Design, Te'eni, M. ED., Wiley-Interscience, 1249–1255, 1971.

R. GRADZKI, K. KOWAL-MICHALSKA, Post-buckling analysis of elasto-plastic plates basing on the Tsai-Wu criterion, Journal of Theoretical and Applied Mechanics, 4, 37, 893–908, 1999.

R. GRADZKI, K. KOWAL-MICHALSKA, Ultimate load of plates under simultaneous bending and shear, Proceedings of Third International Conference CIMS'2000, Imperial College Press, London.

R. GRADZKI, K. KOWAL-MICHALSKA, Ultimate load of laminated plates subjected to simultaneous compression and shear, The Archive of Mechanical Engineering, 48, 3, 249–264, 2001.

R. HILL, The mathematical theory of plasticity, Oxford, 1950.

R.M. JONES, Mechanics of composite materials, International Student Edition, McGraw–Hill, Tokyo 1975.

S.G. LEKHNITSKII, Anisotropic plates [in Russian], Moscow 1947.

J. LOUGHLAN, The buckling performance of composite stiffened panel Structures subjected to combined in-plane compression and shear loading, Composite Structures, 29, 197–212, 1994.

J. LOUGHLAN, The effect of membrane-flexural coupling on the compressive stability of antisymmetric angle-ply laminated plate, Proceedings of the Third International Conference on Thin-Walled Structures, Elsevier, 507–514, 2001.

J. LOUGHLAN, The shear buckling behaviour of thin composites plates with particular reference to the effects of bend-twist coupling, Int. J. Mechanical Sciences, 43, 3, 771–792, 2001.

K. MAGNUCKI, M. OSTWALD, Stability and optimization of three-layer Structures [in Polish], Poznań–Zielona Góra, 2001.

K. MASAOKA, H. OKADA, Y. UEDA, „A rectangular plate element" for ultimate strength analysis, Thin-Walled Structures, Research and Development, 469–476, 1998.

H. MATSUNAGA, Buckling analysis of multilayered angle-ply composite plates, Proceedings of the Third International Conference on Thin-Walled Structures, Elsevier, 507–514, 2001.

K. KOWAL-MICHALSKA, Z. KOŁAKOWSKI [Eds.], Selected problems of instabilities in composite Structures, complete edition, Technical University of Łodź, A Series of Monographs, Łodź 1999.

H.S. SHEN, F.W. WILLIAMS, Post buckling analysis of stiffened laminated box columns, J. Engineering Mechanics, 119, l, 39–57, 1993.

H.S. SHEN, S.F. WILLIAMS, Post buckling analysis of stiffened laminated panels loaded in compression, Int. J. Solids Structures, 30, 12, 1589–1601, 1993.

D.K. SHIN, O.H. GRIFFIN, Z. GURDAL, Post-buckling response of laminated plates under uniaxial compression, Int. J. Non-linear Mechanics, 28, 4, 95–115, 1993.

A.K. SOH, L.CH. BIAN, J.CHAKRABARTY, Elastic/plastic buckling of a composite flat plate subjected to uniform edge compression, Thin-Walled Structures, 38, 3, 247–265, 2000.

S. TIMOSHENKO, J. GERE, Theory of elastic stability, Mc-Graw Hill Company, New York 1961.

S.W. TSAI, E.M. WU, A general theory of strength for anisotropic materials, Journal of Composite Materials, 5, 58–80, 1971.

M. WALKER, S. ADALI, VE. EERIJENKO, Optimal design of symmetric angle-ply laminates subject to nonuniform buckling loads and in-plane. restraints, Thin-Walled Structures, 26, l, 45–60, 1996.

C. WANG, T.H.H. PIAN, J. DUGUNDJI, P.A. LAGACE, Analytical and experimental studies on the. buckling of laminated thin-walled structures, Proc. AIAA/AME/ASCE/AHS 28th Structures, Struct. Dyn. and Materials Conf., Part l, 135–140, 1987.

A.P. WILCZYNSKI, Polymer fibrous composites-their properties, structure, design [in Polish], Scientific and Technical Publishers, 297, Warsaw 1996.




Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland