Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (11): 1200-1206.

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VARIATIONAL PRINCIPLES OF ASYMMETRIC ELASTICITY THEORY OF FINITE DEFORMATION

Song Yanqi, Chen Zhida   

  1. Mechanics Department, China University of Mining and Technology, Beijing Campus, Beijing 100083, P. R. China
  • Received:1999-07-09 Online:1999-11-18 Published:1999-11-18
  • Supported by:
    the National Natural Science Foundation of China(19672023)

Abstract: In this paper, based on the finite deformation S-R decomposition theorem, the definition of the body moment is renewed as the sum of its internal and external. The expression of the increment rate of the deformation energy is derived and the physical meaning is clarified. The power variational principle and the complementary power variational principle for finite deformation mechanics are supplemented and perfected.

Key words: body moment, deformation energy, finite deformation, variation principle

2010 MSC Number: 

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