The Saint-Venant Problem of Plane Bar under an Axial Force
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摘要: 本文利用文[1]中讨论的主轴应力坐标上的平衡微分方程,通过假设平面杆在轴力作用下的主轴应力曲线,获得了该问题的圣维南问题的解,指出剪应力的衰减速度是a3/y3,轴力趋于常数的速度是a2/y2.Abstract: In the paper,the soluttion of Saint-Venant problem is obtained through assumptionof principal stress curves by means of the equilibrium equations which were deduced inpaper [1].The results show that the speed of shear approaching to zero is a3/y3 andaxial stress approaching to constant is a2/y2.
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Key words:
- elasticity /
- plane problem /
- Saint-Venant theory /
- principal stress
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[1] 黄民丰,关于弹性力学平面问题中的主轴应力坐标,应用数学和力学,18(2)(1997),147-152. [2] 徐芝纶,《弹性力学》,第二版(上),高等教育出版社(1982). [3] 钱伟长、叶开沅,《弹性力学》,科学出版社(1980). -
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