Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (3): 262-268.

• 论文 • 上一篇    下一篇

VARIATIONAL PRINCIPLES OF FLUID FULLFILLED ELASTIC SOLIDS

石志飞, 黄淑萍, 章梓茂   

  1. Northern Jiaotong University, Beijing 100044, P. R. China
  • 收稿日期:1998-01-30 出版日期:1999-03-18 发布日期:1999-03-18

VARIATIONAL PRINCIPLES OF FLUID FULLFILLED ELASTIC SOLIDS

Shi Zhifei, Huang Shuping, Zhang Zimao   

  1. Northern Jiaotong University, Beijing 100044, P. R. China
  • Received:1998-01-30 Online:1999-03-18 Published:1999-03-18

摘要: The generalized variational principles of isothermal quasi-static fluid foll-filled elastic solids are established by using Variational Integral Method. Then by introducing constraints, several kinds of variational principles are worked out, including five-field variable, four-field variable, three-field variable and two-field variable formulations. Some new variational principles are presented besides the principles noted in the previous works. Based on variational principles, finite element models can be set up.

关键词: fluid full-filled elastic solids, variational integral method, variational principles, generallied variational principles

Abstract: The generalized variational principles of isothermal quasi-static fluid foll-filled elastic solids are established by using Variational Integral Method. Then by introducing constraints, several kinds of variational principles are worked out, including five-field variable, four-field variable, three-field variable and two-field variable formulations. Some new variational principles are presented besides the principles noted in the previous works. Based on variational principles, finite element models can be set up.

Key words: fluid full-filled elastic solids, variational integral method, variational principles, generallied variational principles

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