弹／粘塑性柱体扭转问题的函数Laplace变换解

ELASTIC/VISCOPLASTIC SOLUTION OF TWISTY COLUMNS BY MEANS OF LAPLACE FUNCTIONAL TRANSFORMAIIONS

摘要: 在应力Ｌａｐｌａｃｅ变换分析粘塑性轴对称问题基础上，对弹性－弹／粘塑性圆柱体扭转全过程进行分析，根据柱体扭转的应力分布，构造应力函数与位移函数，并对函数进行Ｌａｐｌａｃｅ变换。相应求出圆柱体、空心圆柱体的Ｌａｐｌａｃｅ变换解，以及圆柱体的弹性－粘塑性交界线值

Abstract: By means of Laplace transformation,the whole process of the twisting ofelastic/viscoplastic columns are solved in this paper.In considering the distribution of thestresses in the column,we construct a stress function and a displacement function and thenuse Laplace transformation.The solutions cylinder and a cylinder with a hole are obtained.