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GENERALIZED VARIATIONAL PRINCIPLES OF ELECTRO-MAGNETO-THERMO-ELASTO-DYNAMICS

机译:电磁热电弹性动力学的广义变分原理

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Based on coupled properties of electricity, magnetism, heat and force, it is hard to solve the material's electric behavior, magnetic behavior, temperature field, stress distribution and deformation distribution under the action of all kinds of external fields in usual way. It is necessary that the problems are solved by numerical methods. However variational principle is the foundation of these numerical methods which were widely used. In this paper, the generalized variational principles of electro-magneto-thermo-elasto-dynamics are established by variational integral method. And these variational principles can be degenerated into variational principles of simple coupled properties materials, which offer theoretical support for numerical methods of coupled problems of electro-magneto-thermo- elasticity.
机译:基于电力,磁,热量和力的耦合特性,难以通过惯常方式在各种外部领域的动作下解决材料的电力行为,磁性,温度场,应力分布和变形分布。有必要通过数值方法解决问题。然而,变分原理是广泛使用的这些数值方法的基础。本文通过变分积分法建立了电磁热弹性动力学的广义变分原理。这些变分原理可以退化为简单耦合性质材料的变分原理,这提供了对电磁热弹性耦合问题的数值方法提供理论支持。

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