关于弹性力学平面问题中的主轴应力坐标
Coordinates of Principal Stresses for Elastic Plane Problem
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摘要: 本文中讨论了弹性力学平面问题中由主轴应力曲线构成的正交曲线坐标系上的平衡方程,以及解的特性.同时,认为在弹性力学中还存在另一种构造解的方式,即可通过直接构造主轴应力正交网络获得主轴应力的解.Abstract: In this paper, the equilibrium equations on orlhogonal curve coordinates made of curves of principal stresses are disscused and their properties in process of solution arepresented through a simple example. Therefore, it is deduced that there is another way to solve problems in elasticity, i.e., by assumption of orthogonal curves of principal stresses.
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Key words:
- elasticity /
- equilibrium equation /
- principal stress /
- plane problem /
- orthogonal curve coordinates
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[1] 徐芝纶,《弹性力学》,上册,第二版,高等教育出版社,北京(1982). [2] 钱伟长、叶开沉,《弹性力学》,科学出版社,北京(1980). [3] 苏步青、胡和生等,《微分几何》,科学出版社,北京(1983).
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