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Author:

Peng, Yijiang (Peng, Yijiang.) (Scholars:彭一江) | Liu, Yinghua (Liu, Yinghua.)

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Abstract:

Using the base line forces as fundamental variables, the complementary energy of an element with geometrical nonlinearity is constructed, which contains both deformation part and rotation part. Based on the complementary energy principle for large elastic deformation by Gao, the equilibrium conditions are released by the Lagrange multiplier method, and a modified complementary energy principle related to the base line forces is obtained. The 4-node plane element model with geometrical nonlinearity is derived by assuming uniform stress distribution on each faces of the element. A nonlinear finite element code is developed. Numerical results show that this model works very well.

Keyword:

Lagrange multipliers Finite element method

Author Community:

  • [ 1 ] [Peng, Yijiang]Key Lab of Urban Security and Disaster Engineering, Beijing University of Technology, Beijing 100022, China
  • [ 2 ] [Peng, Yijiang]Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China
  • [ 3 ] [Liu, Yinghua]Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China

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Source :

Acta Mechanica Solida Sinica

ISSN: 0254-7805

Year: 2008

Issue: 4

Volume: 29

Page: 365-372

2 . 2 0 0

JCR@2022

ESI Discipline: ENGINEERING;

JCR Journal Grade:4

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

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