Two-Dimensional Prohlem of Anisotro Fic Elastic Bodywith a Hyperbolic Boundary

Hu Yian-tai; Zhao Xing-hua

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Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(5): 421-430

Hu Yian-tai, Zhao Xing-hua. Two-Dimensional Prohlem of Anisotro Fic Elastic Bodywith a Hyperbolic Boundary[J]. Applied Mathematics and Mechanics, 1995, 16(5): 421-430.

Citation:

Hu Yian-tai, Zhao Xing-hua. Two-Dimensional Prohlem of Anisotro Fic Elastic Bodywith a Hyperbolic Boundary[J]. Applied Mathematics and Mechanics, 1995, 16(5): 421-430.

Citation:

Hu Yian-tai, Zhao Xing-hua. Two-Dimensional Prohlem of Anisotro Fic Elastic Bodywith a Hyperbolic Boundary[J]. Applied Mathematics and Mechanics, 1995, 16(5): 421-430.

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Two-Dimensional Prohlem of Anisotro Fic Elastic Bodywith a Hyperbolic Boundary

Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China

Received Date: 1994-01-15
Rev Recd Date: 1994-10-05
Publish Date: 1995-05-15

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.
- Stroh’s formalism,
- external crack,
- stress intensity factor

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References(19)

References

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