电磁弹性固体三维问题的广义变分原理

提出了以电磁弹性固体所有变量应力、应变、位移、电位移、电场强度、电势、磁感应强度、磁场强度和磁势为自变量的电磁弹性固体三维问题最一般形式的广义变分原理。它们涵盖了电磁弹性固体问题所有的基本方程和边界条件。在此基础上还可以进一步给出部分变量为自变量的其它形式广义变分原理。

Generalized variational principles of three-dimensional problems in magnetoelectroelastic solids

The generalized variational principles for three di mensional problems in the magneto-electroelastic solids are proposed, in which the independen tvariables are all variables of the magneto-electroelastic soli d, such as stresses, strains, displacements, electrical displacements, electri cal field intensities, electrical potential, magnetic inductions, magnetic fiel d intensities and magnetic potential etc. They cover all fundamental equations a nd boundary conditions in the magneto-ele ctroelastic solids. Futhermore, the o ther generalized variational principles can be developed on basis of the variati onal principles.