摘要
本文引用伪应力函数使得幂硬化材料的任意形状等截面柱体和变直径圆截面柱体扭转问题的定解方程具有弹性柱体扭转问题的相应形式,从而可用类似于求解弹性柱体扭转的方法或直接利用已知的弹性解答求解对应的幂硬化材料柱体的扭转问题,本文用这种方法求得了幂硬化材料椭圆截面柱体及含球形空腔的圆轴扭转问题的解析解。
A methed utilizing pseudo-stress function to solve torsional problems of prismatic cylinders in the power exponential hardening model is proposed. By the method, the torsional equations of cylinders possessed sections of arbitrary shape or circular sections of variable diameter, could be solved just like that of linear-elastic cylinders, or solved by directly using the elastic solutions which have been known. Examples of an elliptical section shaft and a circular cylinder possessed a globular cavity in the power exponential hardening model are illustrated.
出处
《力学学报》
EI
CSCD
北大核心
1990年第2期223-228,共6页
Chinese Journal of Theoretical and Applied Mechanics
关键词
伪应力函数法
扭转
幂硬化
材料
pseudo-stress function, power exponential hardening model, torsion of prismatic cylinders
