QING Guang-hui, QIU Jia-jun, LIU Yan-hong. Modified H-R Mixed Variational Principle for Magnetoelectroelastic Bodies and State-Vector Equation[J]. Applied Mathematics and Mechanics, 2005, 26(6): 665-670.
Citation: QING Guang-hui, QIU Jia-jun, LIU Yan-hong. Modified H-R Mixed Variational Principle for Magnetoelectroelastic Bodies and State-Vector Equation[J]. Applied Mathematics and Mechanics, 2005, 26(6): 665-670.

Modified H-R Mixed Variational Principle for Magnetoelectroelastic Bodies and State-Vector Equation

  • Received Date: 2004-05-08
  • Rev Recd Date: 2005-01-25
  • Publish Date: 2005-06-15
  • Based upon the Hellinger-Reissner(H-R) mixed variational principle for three-dimensional elastic bodies,the modified H-R mixed variational theorem for magnetoelectroelastic bodies was established.The state-vector equation of magnetoelectroelastic plates was derived from the proposed theorem by performing the variational operations.To lay a theoretical basis of the semi-analytical solution applied with the magnetoelectroelastic plates,the state-vector equation for the discrete element in plane was proposed through the use of the proposed principle.Finally,it is pointed out that the modified H-R mixed variational principle for pure elastic,single piezoelectric or single piezomagnetic bodies are the special cases of the present variational theorem.
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