力学与实践 ›› 2019, Vol. 41 ›› Issue (4): 458-462.DOI: 10.6052/1000-0879-19-032

• 教育研究 • 上一篇    下一篇

弹性力学平面问题例说解的唯一性定理

蒋玉川1), 朱钦泉   

  1. 四川大学建筑与环境学院,成都610065
  • 发布日期:2019-08-26
  • 通讯作者: 1) 蒋玉川,教授。主要研究方向为力学的教学和科研。E-mail:jiangyc@scu.edu.cn

EXAMPLES ARE GIVEN TO ILLUSTRATE THE UNIQUENESS LAW OF SOLUTIONS FOR PLANE PROBLEMS OF ELASTICITY

JIANG Yuchuan1), ZHU Qinquan   

  1. School of Architecture and Environment, Sichuan University, Chengdu 610065,China
  • Published:2019-08-26

摘要: 解的唯一性定理是用逆解法或半逆解法求解弹性力学问题的理论依据,在此用应力函数法、应力法、应力和函数法求解弹性力学平面问题,让学生切实、深入地理解解的唯一性定理的内在含义,丰富和扩大弹性力学的解题方法和应用范围。

关键词: 解的唯一性定理, 应力函数法, 应力法, 应力和函数法

Abstract: The uniqueness law of solution is the theoretical basis of the inverse method or the semi- inverse method for solving elasticity problems. The stress function method, the stress method and the stress sum function method are used for solving plane problems of elasticity to let students understand the true meaning of the uniqueness law of solution, and to enrich the solution methods and enlarge the application scope of elasticity.

Key words: the uniqueness law of solution, stress function method, stress method, stress sum function method

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