The Exact Solutions of von Mises Yielding Criterion for Ideally Plastic Body under Uniform Pressure in Case of Plane Strain

Fan Ja-shen

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Fan Ja-shen. The Exact Solutions of von Mises Yielding Criterion for Ideally Plastic Body under Uniform Pressure in Case of Plane Strain[J]. Applied Mathematics and Mechanics, 1982, 3(4): 529-535.

Citation:

Fan Ja-shen. The Exact Solutions of von Mises Yielding Criterion for Ideally Plastic Body under Uniform Pressure in Case of Plane Strain[J]. Applied Mathematics and Mechanics, 1982, 3(4): 529-535.

Citation:

Fan Ja-shen. The Exact Solutions of von Mises Yielding Criterion for Ideally Plastic Body under Uniform Pressure in Case of Plane Strain[J]. Applied Mathematics and Mechanics, 1982, 3(4): 529-535.

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The Exact Solutions of von Mises Yielding Criterion for Ideally Plastic Body under Uniform Pressure in Case of Plane Strain

Fan Ja-shen

The Seismological Bureau of Yunnan Province, Kunming

Received Date: 1980-09-23
Publish Date: 1982-08-15

Abstract

Abstract

This problem is solved by dividing the quadratic yielding criterion into two linear partial differential equations. With the help of Cauchy's integral, these two linear equations can be easily solved. An example is given to show the calculation of the stress components in the plastic domain and the determination of equation of the boundary line between the plastic and elastic domains.

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References(3)

References

[1]	Prager,William and Hodge,Philip G,The Theory of Perfectly Plastic Solids,(1951).
[2]	钱伟长、叶开沅,《弹性力学》,科学出版社,(1956),207.
[3]	徐芝纶.《弹性理论》,人民教育出版社,(1960),92-93.