The Solution of the Problems in Elastostatics and the Principles of Least-Potential Energy and Least-Complementary Energy with Fuzzy Boundary Conditions

Yun Tian-quan

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Article Navigation > Applied Mathematics and Mechanics > 1981 > 2(1): 13-20

Yun Tian-quan. The Solution of the Problems in Elastostatics and the Principles of Least-Potential Energy and Least-Complementary Energy with Fuzzy Boundary Conditions[J]. Applied Mathematics and Mechanics, 1981, 2(1): 13-20.

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The Solution of the Problems in Elastostatics and the Principles of Least-Potential Energy and Least-Complementary Energy with Fuzzy Boundary Conditions

Yun Tian-quan

Department of Mechanics, Huazhong Institute of Technology, Wuhan

Received Date: 1980-04-02
Publish Date: 1981-02-15

Abstract

Abstract

In this paper, the solution of the problems in elastostatics is defined on "Set Theory" and extended to fuzzy boundary conditions. Both of the principles of least-potential energy and least-complementary energy are also extended to fuzzy boundary conditions. A theorem of the existence and uniqueness of the solution of minimum elemental potential energy is given and thus the existence of a quasisolution of the problems in elastostatics is proved.

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References(7)

References

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