电磁声换能器的一般控制方程
On the general governing equations of electromagnetic acoustic transducers
摘要：
在本文中，我们提出了一般的电动力学和连续介质力学的控制方程，需要考虑的数学建模的电磁声换能器（EMAT）的行为。我们考虑软材料的有限变形的存在和电流，温度梯度和内部热产生的可能性，由于耗散。本文从电磁场的麦克斯韦方程组和非线性弹性力学的平衡定律出发，给出了求解边值型波传播问题的增量形式的控制方程和边界条件。
英文摘要：
In this paper, we present the general governing equations of electrodynamics and continuum mechanics that need to be considered while mathematically modelling the behaviour of electromagnetic acoustic transducers (EMATs). We consider the existence of finite deformations for soft materials and the possibility of electric currents, temperature gradients, and internal heat generation due to dissipation. Starting with Maxwell's equations of electromagnetism and balance laws of nonlinear elasticity, we present the governing equations and boundary conditions in incremental form in order to solve wave propagation problems of boundary value type.
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