Determining the coupling effect of the temperature variation and structural stress on the dispersion characteristics of plate/shell structures is essential for guided-wave detection technology. However, most existing research has focused on the individual effects of stress and thermal fields. Considering this problem, a thermo-acoustoelastic model is proposed to obtain the dispersion characteristics of guided waves in plate/shell structures under temperature-stress coupling. The nonlinear constitutive equation of hyperelastic materials under temperature-stress coupling was derived using the temperature-dependent strain energy density function and incorporated into the model via a user material definition. The solution of the numerical model was divided into two analysis steps using the superposition solution method. The calculated phase velocity changes of different guided wave modes utilizing this model were consistent with the experimental data. Then, the effects of the temperature-stress coupling on the dispersion characteristics of guided waves with different propagation angles in plate/shell structures were systematically analyzed. The results show that the effect of the temperature-stress coupling on the phase velocity of 6061-T6 aluminum plates can be decomposed into the individual effects of stress and thermal fields with a very small error, which provides an efficient strategy to estimate the phase velocity change induced by the temperature-stress coupling effect. The comparative analysis of the experimental results and prediction values from the existing models demonstrates a significant improvement in the accuracy of the proposed model. This work reveals the coupling effect of the stress and thermal field on the guided wave dispersion characteristics and can provide valuable data to develop guided wave environmental compensation algorithms.

中文翻译：

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温度-应力耦合下板/壳结构中导波传播的热声弹性建模


确定温度变化和结构应力对板/壳结构色散特性的耦合影响对于导波探测技术至关重要。然而，大多数现有研究都集中在应力场和热场的单独影响上。针对这一问题，提出了热声弹模型来获取温度-应力耦合下板/壳结构中导波的色散特性。使用温度相关应变能密度函数导出温度-应力耦合下超弹性材料的非线性本构方程，并通过用户材料定义将其合并到模型中。采用叠加求解方法将数值模型的求解分为两个分析步骤。利用该模型计算出不同导波模式的相速度变化与实验数据一致。然后系统分析了板壳结构中温度-应力耦合对不同传播角度导波色散特性的影响。结果表明，温度-应力耦合对6061-T6铝板相速度的影响可以分解为应力场和热场的单独影响，且误差很小，为估计相速度提供了一种有效的策略。由温度-应力耦合效应引起的变化。实验结果和现有模型的预测值的比较分析表明，所提出的模型的准确性得到了显着提高。 这项工作揭示了应力场和热场的耦合对导波色散特性的影响，可为开发导波环境补偿算法提供有价值的数据。