Chen Zhi-da. Application of Chien’s Theorem to the Establishing of General Variational Principle in Polar Elasticity of Finite Deformation[J]. Applied Mathematics and Mechanics, 1981, 2(2): 191-196.
Citation: Chen Zhi-da. Application of Chien’s Theorem to the Establishing of General Variational Principle in Polar Elasticity of Finite Deformation[J]. Applied Mathematics and Mechanics, 1981, 2(2): 191-196.

Application of Chien’s Theorem to the Establishing of General Variational Principle in Polar Elasticity of Finite Deformation

  • Received Date: 1980-01-23
  • Publish Date: 1981-04-15
  • Variational principles of minimum potential energy and complementary energy of linear polar elasticity has been formulated by No,packi[3].As it has been proved by Chien Wei-zang, that the tveo generalized variational principles are equivalent in functionals; we now apply this important statement Chien's theorem, and Lagrange's method of multiphers to the establishing of generalized variational principle in polar elasticity for finite deformation. The fundamental equations of mechanics of finite deformation used are of which has been established in the author's paper[7],[4].
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    Nowacki, W.,Theory of micropolar elasticity, CISM, Udine,(1972), §3.2.
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    陈至达,连续介质有限变形力学几何场论(弹性有限变形能鼠原理),清华大学学报,19卷,第4期,1979年.
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    陈至达连续介质有限变形力学几何场论(几何理论),力学学报,2期,107-117页,1979年.
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