Bianalytic Functions, Biharmonic Functions and Elastic Problems in the Plane

ZHENG Shen-zhou; ZHENG Xue-liang

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ZHENG Shen-zhou, ZHENG Xue-liang. Bianalytic Functions, Biharmonic Functions and Elastic Problems in the Plane[J]. Applied Mathematics and Mechanics, 2000, 21(8): 797-802.

Citation:

ZHENG Shen-zhou, ZHENG Xue-liang. Bianalytic Functions, Biharmonic Functions and Elastic Problems in the Plane[J]. Applied Mathematics and Mechanics, 2000, 21(8): 797-802.

Citation:

ZHENG Shen-zhou, ZHENG Xue-liang. Bianalytic Functions, Biharmonic Functions and Elastic Problems in the Plane[J]. Applied Mathematics and Mechanics, 2000, 21(8): 797-802.

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Bianalytic Functions, Biharmonic Functions and Elastic Problems in the Plane

ZHENG Shen-zhou¹,
ZHENG Xue-liang²

1.
Department of Mathematics, Northern Jiaotong University, Beijing 100044, P R China;
2.
Department of Mathematics, Taizhou Teacher's College, Linhai, Zhejiang 317000, P R China

Received Date: 1998-09-02
Rev Recd Date: 2000-02-02
Publish Date: 2000-08-15

Abstract

Abstract

Let the elastic body only be acted by gravity. By investigating the relations of bianalytic functions and biharmonic functions, the uniqueness and existence of the stress functions (Airy functions) are established in planar simple connected region. Moreover, the integral representation formula of the stress function in the unit disk of the plane is obtained.
- Airy functions,
- bianalytic functions,
- biharmonic functions,
- the uniqueness of the solution,
- integral representation formula

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References(7)

References

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