SAINT-VENANT'S TORSION PROBLEM WITH STRESS FUNCTION IN THE FORM OF A THIRD DEGREE POLYNOMIAL

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作者：

YEH KAI-YUAN(Peking University)

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来源：

物理学报 | 1953年 / 04期

关键词：

FORM; SAINT-VENANT’S TORSION PROBLEM WITH STRESS FUNCTION IN THE FORM OF A THIRD DEGREE POLYNOMIAL;

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摘要：

The free torsion problem,solved by Saint-Venant with semi-inverse method,is wellknown in the theory of elasticity.-In this paper we discuss this problem systematicallyby considering a cylindrical bar whose cross section is a simply connected region undertwist moment M,and assume that the stress function Ψ is in the form of a thirddegree polynomial,that iswhere Care complex numbers,Ctheir corresponding conjugates,and Z=x+iy,=x-iy The stress function satisfies the following differential equation and boundarycondition:

引用

页码：272 / 274

页数：3