Abstract Based on the linear three-dimensional elastic theory and the mechanics theory of incremental deformation, using the Legendre orthogonal polynomial expansion (LOPE) method, the wave equations of Lamb wave propagation in the non-principal symmetry axes direction of anisotropic composite lamina was firstly derived when the initial stresses were applied in the horizontal and vertical directions. Subsequently, the coupled equations of Lamb wave propagation were numerically solved. In order to verify the accuracy of the process, the dispersion curves of phase velocity in an isotropic aluminum plate and anisotropic composite lamina without loaded initial stresses were beforehand calculated by LOPE method to compare with those obtained from the commercial software of DISPERSE ® and available data. Then, a series of cases referring to unidirectional fiber reinforced composite lamina were further implemented to study the effects of horizontal initial stress and vertical initial stress on the fundamental Lamb wave modes. The results show that the phase velocity of the A 0 mode is more sensitive to the implementation of initial stresses compared with the S 0 mode and SH 0 mode. Finally, the effect of fiber orientation was illustrated in details.

中文翻译：

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预应力各向异性复合薄板中耦合兰姆波沿非主对称轴方向传播

摘要 基于线性三维弹性理论和增量变形力学理论，利用勒让德正交多项式展开(LOPE)方法，首次得到了各向异性复合薄板非主对称轴方向Lamb波传播的波动方程。当初始应力施加在水平和垂直方向时得出。随后，对兰姆波传播的耦合方程进行了数值求解。为验证该过程的准确性，事先采用LOPE法计算了各向同性铝板和各向异性复合薄板在未加载初始应力的情况下的相速度色散曲线，与从DISPERSE ® 商业软件获得的相速度和现有数据进行比较。 . 然后，进一步实施了一系列单向纤维增强复合材料薄片的案例，以研究水平初始应力和垂直初始应力对基本兰姆波模式的影响。结果表明，与S 0 模式和SH 0 模式相比，A 0 模式的相速度对初始应力的实现更为敏感。最后，详细说明了纤维取向的影响。