Thermo-electromechanical coupling analysis at micro/nano-seconds appears to be particularly important, where strain and electric relaxation effects will increase significantly in such case. So far, although temperature-rate-dependent theory of piezoelectric thermoelasticity has been historically proposed, it may be no longer hold anymore as relaxation effects both in electrical and strain fields have not been fully considered yet. This work mainly contributes to constitutive modeling of a novel rate-dependent piezoelectric thermoelasticity by considering time-derivatives terms of the elastic strain, relative temperature, and electric intensity associated with related relaxation time parameters. Constitutive and field equations are strictly derived via extended thermodynamics. Newly developed theoretical model is applied to analyze structural thermo-electromechanical responses of multilayered laminated piezoelectric smart composites accounting for contact imperfection and material parameters via a semi-analytical integrated transformation technique. Dimensionless results reveal that the properly selecting thermal/stain/electric relaxation time parameter or considering non-idealized boundary conditions at interface of multilayered laminated piezoelectric smart composites will maximally enhance the electric energy harvesting, realize the displacement control, and improve the harmful stress isolation.

微/纳秒的热机电耦合分析似乎特别重要，在这种情况下，应变和电弛豫效应将显着增加。到目前为止，尽管历史上已经提出了与温度速率相关的压电热弹性理论，但由于尚未充分考虑电场和应变场中的弛豫效应，它可能不再成立。这项工作主要通过考虑与相关弛豫时间参数相关的弹性应变、相对温度和电强度的时间导数项，对新型速率相关压电热弹性的本构建模做出贡献。本构方程和场方程是通过扩展热力学严格推导出的。新开发的理论模型用于通过半解析集成转换技术分析多层层压压电智能复合材料的结构热机电响应，从而考虑接触缺陷和材料参数。无量纲的结果表明，正确选择热/染色/电动松弛时间参数或考虑多层层压压电智能复合材料在界面上的非理想边界条件，将最大程度地增强电能收集，实现位移控制并改善有害应力隔离。