Applied Mathematics and Mechanics (English Edition) ›› 1981, Vol. 2 ›› Issue (2): 209-214.

• Articles • Previous Articles     Next Articles

Application of Chien’s Theorem to General Variational Principle in Finite Elasticity with Body Couple

Chen Zhi-da   

  1. China Institute of Mining Technology, Chongqing
  • Received:1980-06-23 Online:1981-03-18 Published:1981-03-18

Abstract: An important theorem proved by W. Z, Chien[1] states the equivalence of the functionals in general variational principles of potential energy and complementary energy. The stated theorem is applied now in formulation of general variational principle in finite elasticity with body couple (polar elasticity). Ccmoving coordinate system is being used in the derivation throughout (refer to[6],[8]).

Key words: nonlinear coupled scalar field equation, analytic solution, soliton solution, periodic solution

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