THE EXACT SOLUTIONS OF VON MISES YIELDING CRITERION FOR IDEALLY PLASTIC BODY UNDER UNIFORM PRESSURE IN CASE OF PLANE STRAIN

Applied Mathematics and Mechanics (English Edition) ›› 1982, Vol. 3 ›› Issue (4): 573-579.

THE EXACT SOLUTIONS OF VON MISES YIELDING CRITERION FOR IDEALLY PLASTIC BODY UNDER UNIFORM PRESSURE IN CASE OF PLANE STRAIN

范家参

The Seismological Bureau of Yunnan Province, Kunming

收稿日期:1980-09-02 出版日期:1982-07-18 发布日期:1982-07-18

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:1980-09-02 Online:1982-07-18 Published:1982-07-18

摘要/Abstract

摘要： 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.

关键词: asymmetric system, nonlinear normal mode, localization of vibration, bifurcation of normal mode, nonlinear dynamics

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.

Key words: asymmetric system, nonlinear normal mode, localization of vibration, bifurcation of normal mode, nonlinear dynamics

范家参. 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 (English Edition), 1982, 3(4): 573-579.

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 (English Edition), 1982, 3(4): 573-579.

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THE EXACT SOLUTIONS OF VON MISES YIELDING CRITERION FOR IDEALLY PLASTIC BODY UNDER UNIFORM PRESSURE IN CASE OF PLANE STRAIN

THE EXACT SOLUTIONS OF VON MISES YIELDING CRITERION FOR IDEALLY PLASTIC BODY UNDER UNIFORM PRESSURE IN CASE OF PLANE STRAIN

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