北京大学学报(自然科学版)

二维、三维和n维弹性力学中的应力函数

尹辉明,王敏中   

  1. 北京大学力学与工程科学系,北京,100871
  • 收稿日期:1997-01-15 出版日期:1998-01-20 发布日期:1998-01-20

Stress Functions in Two-Dimensional, Three-Dimensional and N-Dimensional Elasticity

YIN Huiming, WANG Minzhong   

  1. Department of Mechanics and Engineering Science, Peking University, Beijing, 100871
  • Received:1997-01-15 Online:1998-01-20 Published:1998-01-20

摘要: 以统一的方法,分别导出了二维、三维直至n维的应力函数,而且由于该方法是构造性的,所以从推导过程就可得到这些应力函数是完备的。

关键词: 弹性力学, 应力函数, 平衡方程

Abstract: Two-dimensional, three-dimensional and n-dimensional stress functions are derived by a unified method. Because it is constructive, the completeness of these functions, embodied in the course of derivation, is selfevident.

Key words: elasticity, stress function, equations of equilibrium

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