Huang Qian. Variational Principle of Hybrid Energy and the Fundamentals of 3-D Laminate Theory——A New Approach for the Analysis of Interlaminar Stresses in Composite Laminates[J]. Applied Mathematics and Mechanics, 1988, 9(7): 599-608.
Citation: Huang Qian. Variational Principle of Hybrid Energy and the Fundamentals of 3-D Laminate Theory——A New Approach for the Analysis of Interlaminar Stresses in Composite Laminates[J]. Applied Mathematics and Mechanics, 1988, 9(7): 599-608.

Variational Principle of Hybrid Energy and the Fundamentals of 3-D Laminate Theory——A New Approach for the Analysis of Interlaminar Stresses in Composite Laminates

  • Received Date: 1987-06-20
  • Publish Date: 1988-07-15
  • This paper discusses the discontinuity of stresses and strains atinterlaminar sirfacesof the eomposne laminate and presents a 3-D laminate theory for composite materials.This paper also presents a new type of elastic energy based on the globally continuous variables in laminates, different front the traditional potential energy and complementary energy. Then, a variatinal principle corresponding to the 3-D laminate theory is developed. The theory and the principle could he a basis of verifying the 2-D laminate theory and determining the interlarninar stresses near the free edges.
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  • [1]
    Lekhnitskii, S.G., Theory of Elasticity of an Anisotropic Body Gostekhizdat, Moscow (1950) (in Russian). Transl., Holden Day, San Francisco (1963). Second Edition, Nauka, Moscow (1977), (in Russian). Transl., Mir Publishers, Moscow (1981).
    [2]
    Pipes, R.B., J. Compos. Mater., 4, Oct (1970), 538-548.
    [3]
    Altus E., A. Rotem, and M. Shmueli, J. Compos. Mater. 14 (1980), 21-30.
    [4]
    Engblom, J,J. and O.O. Ochoa, Int. J. Numer. Methods Eng., 21, 10, Oet. (1985), 1759 1776
    [5]
    Heppler, G.R. and J.S. Hansen, Adv. in Compos. Mater., 1. Aug (1980), 666-692.
    [6]
    Yeh, J.R. and I.G. Tabjbakhsh, J. Compos. Mater., 20, 4, Jul. (1986). 347-364.
    [7]
    Natarajan, R., S,V. Hoa, and T.S. Sankar, Int. Numer. Methods Eng., 23, 4. Apr. (1986). 623-633.
    [8]
    Lucking, W.M., S.V. Hoa and T.S., Sankar, J Compos. Mater., 18. 2, Mar, (1984), 188-198.
    [9]
    Rybicki, E.F., J. Compos. Mater., 5 (1971), 354-360.
    [10]
    Khalil, S.A., C.T. Sun and W.C. Hwang, Int. J. Fract., 31. 1. May (1986), 37 51.
    [11]
    Moriya, K., Nippon Kikai Gakkai Ronhunshu a Hen. 52, 478, Jun. (1986), 1600 1607.
    [12]
    Spilker, R.L. and D.M. Jakobs, Int. Numer. Methods Eng., 23, 4, Apr. (1986). 555 578.
    [13]
    Wang, S.S. and F.G. Yuan, J. Appl. Mech., 50 (1983), 835-844.
    [14]
    Hsu, P.W. and C.T. Herakovich, J. Compos. Mater., 11 (1977), 422-427.
    [15]
    Tang, S., J. Compos. Mater., 10, 1, Jan. (1976), 69-78.
    [16]
    Bar-Yoseph. P. and T.H.H. Pian, J. Compos. Mater., 15. 3, May (1981), 225-239.
    [17]
    Bar-Yoseph, P. and T.H.H. Pian, Comput. Methods Appl. Mech. Eng., 36, 3, Mar. (1983). 309-329.
    [18]
    Pagano, N.J., Int. J. Solids Structures 14 (1978), 385-400.
    [19]
    Wang, J.T.S. and J.N. Dickson, J. Compos. Mater., 12 (1978), 390-401.
    [20]
    Oery, H., H. Reimerdes and S. Dieker, Z. Flugwiss Weltraumforsch, 8, 6, Nov. Dec. (1984), 392-404.
    [21]
    Whitney, J.M. and C.E. Browning, J. Compos. Mater., 6 (1973). 300-303.
    [22]
    Berghaus, D.G. and R.W. Aderholdt, Exp. Mech., 15, 4, Jul. (1975), 173-176.
    [23]
    Spilker, R.L. and S.C. Chou, J. Compos. Mater., 14 (1980), 2-20.
    [24]
    钱伟长,《广义变分原理》,知识出版社,上海(1985).
    [25]
    Tsai, S.W. and H.T. Hahn, Introduction to Composite Materials. Technomic Publishing Co. Inc. (1980).
    [26]
    Christensen, R.M., Mechanics of Composite Materials, John Wiley and Sons Inc. (1979).
    [27]
    Hull, D., An Introduction to Composite Materials, Cambridge University Press (1981).
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