Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (7): 853-862.

• 论文 • 上一篇    下一篇

RESEARCH ON A SYSTEMATIC METHODOLOGY FOR THEORY OF ELASTICITY

罗建辉, 刘光栋, 尚守平   

  1. College of Civil Engineering, Hunan University, Changsha 410082, P.R.China
  • 收稿日期:2001-09-17 修回日期:2003-06-15 出版日期:2003-07-18 发布日期:2003-07-18
  • 通讯作者: LONG Yu-qiu

RESEARCH ON A SYSTEMATIC METHODOLOGY FOR THEORY OF ELASTICITY

LUO Jian-hui, LIU Guang-dong, SHANG Shou-ping   

  1. College of Civil Engineering, Hunan University, Changsha 410082, P.R.China
  • Received:2001-09-17 Revised:2003-06-15 Online:2003-07-18 Published:2003-07-18

摘要: The equivalence between differential form and integral form of a systematic methodology for theory of elasticity is proved. A uniform framework of the systematic methodology is established. New system includes differential form, integral form and mixed form. All kinds of variational principle are proved by the equivalence between differential form and integral form. The idea for generalized virtual work and virtual function is presented.

Abstract: The equivalence between differential form and integral form of a systematic methodology for theory of elasticity is proved. A uniform framework of the systematic methodology is established. New system includes differential form, integral form and mixed form. All kinds of variational principle are proved by the equivalence between differential form and integral form. The idea for generalized virtual work and virtual function is presented.

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