电磁热弹性壳的齐次状态向量方程和等参元列式

为简化求解电磁热弹性壳齐次状态向量方程的方法，先通过电磁热弹性材料广义的H—R变分原理推导了非齐次的状态向量方程，进一步考虑热平衡方程与导热方程中变量的对偶关系，通过增加方程的维数，将非齐次方程转化为能独立求解的齐次方程．同时，直接将温度梯度关系写进电磁热弹性材料广义的本构关系中，通过构建一个新的变分原理，方便地导出了电磁热弹性壳齐次的四节点等参元列式．实例分析说明了齐次方程方法数值结果的稳定性和精确性．

Homogeneous State-Vector Equation of Electromagneto-Thermoelastic Shell and Isoparametric Element Formulation

To simplify the solution of the homogeneous state-vector equation of electromagneto-thermoelastic shell,the non-homogeneous state-vector equation was firstly derived from the generalized H-R variational formulation for electromagneto-thermoelastic material. Considering the symplectic relationship of variables in the thermal equilibrium formulations and the gradient equations,the non-homogeneous state-vector equation was transformed to homogeneous equation for solving independently by increasing dimensions of the equation, On the other hand, considering the temperature gradient equation as one part of generalized constitutive relation for electromagneto- thermoelastic material,the homogeneous 4-node isoparametric element formulation was deduced conveniently by a new variational principle. Numerical example shows the stability and precision of homogeneous state equation method.