TWO-DIMENSIONAL PROBLEM OF ANISOTROPIC ELASTIC BODY WITH A HYPERBOLIC BOUNDARY

Abstract

Abstract: The general and shnplified formula for anisotropic medium with a hyperbolic boundary subjected to pure bending M₀ is provided in this paper. The stress and strain fields in medium are obtained. Based upon the above results, we analyse the hoop stress along the hyperbolic curve and the stress distributions on the plane x₂=0 for aluminium (cubic crystal). When the boundary curve degenerates into an external crack three kinds of stress intensity factors (k₁, k₂, k₃) are obtained, and it is easily found that the first stress intensio, factor k₁ is independent of the material constants.

Key words: orthotropic rectangular thin plate with variable thickness, nonlinear unsymmetrical bending, equilibrium equation, compatibility equation, basic equation, dimensionless equation

Hu Yian-tai;Zhao Xing-hua. TWO-DIMENSIONAL PROBLEM OF ANISOTROPIC ELASTIC BODY WITH A HYPERBOLIC BOUNDARY. Applied Mathematics and Mechanics (English Edition), 1995, 16(5): 451-460.

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