半无限带状各向异性材料的应力效应衰减估计

基金项目: 广东省科委资助项目(960181)

Stress Effect Decay Estimates for Anisotropic Material in a Semi-Infinite Strip

摘要: 对带端面负载的半无限带状各向异性弹性材料建立了Saint-Venant原理.应用能量方法确立了应力效应衰减率的下界,得出了用各向异性材料的弹性常量表示的估计显式.最后,为了说明所得结果,对带端面负载、纤维偏离主轴的石墨-环氧树脂的衰减率给出数值实例.
- Saint-Venant原理 /
- 四阶椭圆方程 /
- 能量方法 /
- 材料各向异性 /
- 应力衰减估计
Abstract: In this paper, Saint-Venant's principle for anisotropic material in an end-loaded. semi-infinite elastic strip is established. Energy method is used to establish the lower bounds of the decay estimate of stress effect. An explicit estimate formula in terms of the elastic constants of the anisotropic materials is presented. Finally, a numerical example for an end-loaded, off-axis, graphite-epoxy strip is given to illustrate the results.
- Saint-Venant’s principle /
- fourth order elliptic equation /
- energy method /
- material anisotropy /
- stress decay estimate

[1]	Miller K L,Horgan C O.End effects for plane deformations of an elastic anisotropic semiinfinite strip[J].Journal of Elasticity,1995,38:261～316
[2]	Lekhniskii S G.Theory of Elasticity of an Anisotropic Body[M].Moscow:MIR Publishers,1981
[3]	Horgan C O,Knowles J K.Recent developments concerning Saint-Venant's principle[A].In:J W Hutchinson and T Y Wu eds,Advances in Applied Mechanics[M],Volume 23,New York:Academic Press,1983,179～269
[4]	Jones R M.Mechanics of Composite Materials[M].New York:Hemisphere Publish Co,1975
[5]	Choi I,Horgan C O.Saint-Venant's principle and end effects in anisotropic elasticity[J].Journal of Applied Mechanics,1977,44:424～430
[6]	Horgan C O.Recent developments concerning Saint-Venant's principle:an update[J].Applied Mechanics Reviews,1989,42:295～303
[7]	Craffer E C,Heise R M,Horgan C O,Simmonds J G.The eigenvalues for a self-equilibrated semi-infinite:anisotropic elastic strip[J].Journal of Applied Mechanics,1993,60:276～281