Green’s Functions of Two-Dimensional Anisotropic Body with a Parabolic Boundary

Hu Yuantai; Zhao Xinghua

Volume 17 Issue 5

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Article Navigation > Applied Mathematics and Mechanics > 1996 > 17(5): 377-385

Hu Yuantai, Zhao Xinghua. Green’s Functions of Two-Dimensional Anisotropic Body with a Parabolic Boundary[J]. Applied Mathematics and Mechanics, 1996, 17(5): 377-385.

Citation:

Hu Yuantai, Zhao Xinghua. Green’s Functions of Two-Dimensional Anisotropic Body with a Parabolic Boundary[J]. Applied Mathematics and Mechanics, 1996, 17(5): 377-385.

Citation:

Hu Yuantai, Zhao Xinghua. Green’s Functions of Two-Dimensional Anisotropic Body with a Parabolic Boundary[J]. Applied Mathematics and Mechanics, 1996, 17(5): 377-385.

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Green’s Functions of Two-Dimensional Anisotropic Body with a Parabolic Boundary

Hu Yuantai¹,
Zhao Xinghua²

1.
Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074, P. R. China;
2.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University of Technology, Shanghai 200072, P. R. China

Received Date: 1994-12-08
Rev Recd Date: 1995-12-15
Publish Date: 1996-05-15

Abstract

Abstract

For two-dimensional anisotropic body with a parabolic boundary, the simple explicit expressions of Green's functions are presented when a concentraled force is applied at a point in material for two kind boundary conditions, which are of free surfoce and rigid surface. When parabolic curve degenerales into a half-infinite crack or a half-infinite rigid defect the stress singular fields near the crack tip are obtained by using the results obtained. Specially, when the concentrated force is applied at a point on the parabolic boundary, its Green's functions are studied, too. By them and their integral, the arbitrary parabolic boundary value problems can be solved. The limit case that the boundary degenerates into a crack is studied and the corresponding stress intensity factors are obtained.
- Stroh’s formalism,
- eigenvalue,
- stress intensity factors

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References(15)

References

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