杂交能变分原理及层合板三维理论的基础——分析复合材料层间应力的新方法

黄黔

杂交能变分原理及层合板三维理论的基础——分析复合材料层间应力的新方法

黄黔^1,2

1.
加拿大康戈迪亚大学;
2.
上海工业大学

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出版历程
- 收稿日期: 1987-06-20
- 刊出日期: 1988-07-15

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

Huang Qian^1,2

1.
Concordia University, Montreal, Canada;
2.
Shanghai University of Technology, Shanghai

摘要

摘要: 本文讨论了复合材料层合板层间界面处应力和应变的间断性问题,并提出了复合材料层合板的三维理论.本文还以在层合板中全局连续的变量为基础,提出了与传统的势能和余能不同的一种新的弹性能.并得到与复合材料三维理论相应的变分原理.本文得到的三维层合板理论和杂交能变分原理,可以作为校核层合板二维经典理论和确定自由边界附近层间应力的理论基础.

Abstract: 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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参考文献(27)

[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).