The scope of the present work is to elucidate the reverberations of propagating guided waves through delaminated regions confined in composite plate structures. As it is well known, delamination between consequent plies is the most common type of damage in composite structures. A mean of investigation of delamination cracks is through guided wave propagation. It has been observed that either type of guided waves (antisymmetric or symmetric) has different repercussions inside and outside the delaminated area. Inside this work is used a well-established numerical tool developed by the authors. By making good use of its reported numerical capabilities, the authors used the Hermitian Cubic Splined Layerwise mechanics to incorporate the delamination and the physical presence of piezoelectric actuators. The two mentioned aspects were then integrated into a time domain spectral finite element. The outcome was the development of a multinode explicit layerwise finite element, able of modelling the physical presence of active piezoelectric sensors, the existence of delamination cracks through the thickness and the excitation of each fundamental wave mode separately ($A_0$ & $S_0$). The calculated semi-diagonal mass matrix, due to the collocation of the nodes with the grid points of Gauss–Lobatto–Legendre quadrature, boosts the speed of numerical time integration, while the use of high order polynomials as shape functions, conduce to a vast reduction of the mesh size, enabling the thorough investigation and simulation of high frequency wave propagation.

目前的工作范围是阐明通过限制在复合板结构中的分层区域传播的导波的混响。众所周知，后续层之间的分层是复合结构中最常见的损坏类型。研究分层裂纹的一种方法是通过导波传播。已经观察到，任一类型的导波（反对称或对称）在分层区域内部和外部具有不同的影响。在这项工作中使用了由作者开发的完善的数值工具。通过充分利用其报告的数值能力，作者使用 Hermitian Cubic Splined Layerwise 力学将分层和压电致动器的物理存在结合起来。然后将提到的两个方面集成到时域谱有限元中。结果是开发了一个多节点显式分层有限元，能够分别模拟有源压电传感器的物理存在、通过厚度的分层裂纹的存在以及每个基波模式的激发（${\mathrm{一种}}_0$ & ${秒}_0$）。计算出的半对角质量矩阵，由于节点与高斯-洛巴托-勒让德求积的网格点的搭配，提高了数值时间积分的速度，同时使用高阶多项式作为形函数，有助于形成一个广阔的空间。减小网格尺寸，从而能够对高频波传播进行彻底的调查和模拟。