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首页> 外文期刊>Journal of thermal stresses >PROPAGATION OF DISCONTINUITIES IN THERMOPIEZOELECTRIC ROD
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PROPAGATION OF DISCONTINUITIES IN THERMOPIEZOELECTRIC ROD

机译：热电棒中不连续性的传播

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摘要

A model of the equations of generalized linear thermoelasticity theory for piezoelectric media is given. The formulation is applied to the generalized thermoelasticity theories— Lord-Shulman, Green-Lindsay, and Chandrasekharaiah and Tzou—as well as to the dynamic coupled theory. The state space approach is adopted for the solution of the one-dimensional problem of a semi-infinite piezoelectric rod. The Laplace transform technique is used. The expansions of the stress component, the temperature increment, the electric field, and the displacement, in Laplace transform domain, in power series, and the exact inversions for arbitrary time are given. The jump discontinuities are calculated for the four theories and the kinematical conditions of compatibility are verified. Numerical results are given and illustrated graphically by employing the numerical method for the inversion of the Laplace transforms. Comparisons are made with the results predicted by the four theories.
机译：给出了压电介质广义线性热弹性理论方程的模型。该公式适用于广义热弹性理论（Lord-Shulman，Green-Lindsay，Chandrasekharaiah和Tzou）以及动态耦合理论。采用状态空间方法来解决半无限压电棒的一维问题。使用了拉普拉斯变换技术。给出了拉普拉斯变换域中幂序列的应力分量，温度增量，电场和位移的展开，以及任意时间的精确反演。计算了四种理论的跳跃不连续性，并验证了相容性的运动学条件。通过采用数值方法对Laplace变换进行反演，给出了数值结果并以图形方式进行了说明。与四种理论预测的结果进行了比较。

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