Stress effect decay estimates for anisotropic material in a semi-infinite strip
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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.
Key wordsSaint-Venant's principle fourth order elliptic equation energy method material anisotropy stress decay estimate
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- Lekhniskii S G.Theory of Elasticity of an Anisotropic Body [M]. Moscow: MIR Publishers, 1981.Google Scholar
- 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], Volume23, New York: Academic Press, 1983, 179–269Google Scholar
- Jones R M.Mechanics of Composite Materials [M]. New York: Hemisphere Publish Co, 1975Google Scholar
- 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: 276–281Google Scholar