The important claim that the presence of the structural damping considerably lessens or even eliminates the effectiveness of the embedded shape memory elements in the dissipation of the vibration/impact energies of the structures, is stated and proven here for the first time. The finite-element-based governing equations of thick composite sandwich plates with homogeneous/FG soft viscoelastic cores and embedded SMA wires are derived based on a new hyperbolic SMA-zigzag sandwich plate theory that considers the transverse flexibility. The tension-compression asymmetry of the SMA behavior and Zener-viscoelasticity-based zigzag nonlinear corrections are implemented to guarantee the transverse stress continuity at the interfaces between layers and updating the relation between the describing parameters of the displacement field, and the stiffness and even mass matrices of the elements within each time step. For the first time, the phase-based rather than the mixture-based stresses are considered in tracing the phase transformations. The resulting time-dependent nonlinear integro-differential equations are solved by a special algorithm. Results confirm, for the first time, that the stress-strain hysteresis loops of the SMAs may shrink or even disappear in presence of the structural damping; so that, the belief that the phase-transformation-based damping and the structural damping directly add to each other, is quite wrong.

重要的要求是，结构阻尼的存在在很大程度上减少或什至消除了嵌入式形状记忆元件在消散结构的振动/冲击能量方面的有效性，这是首次在此陈述和证明。基于新的双曲SMA-zigzag夹层板理论，在考虑了横向柔度的基础上，推导了具有均质/ FG软粘弹性纤芯和SMA嵌入线的厚复合夹层板基于有限元的控制方程。SMA特性和基于齐纳-粘弹性的曲折非线性的拉压不对称进行校正以确保层之间界面处的横向应力连续性，并更新位移场描述参数与每个时间步中元素的刚度甚至质量矩阵之间的关系。在跟踪相变时，首次考虑了基于相的应力，而不是基于混合物的应力。由此产生的时变非线性积分微分方程可以通过特殊算法求解。结果首次证实，在存在结构阻尼的情况下，SMA的应力应变滞后回线可能会缩小甚至消失。因此，基于相变的阻尼和结构阻尼直接相加的观点是错误的。