Ultrafast heating technology (e.g., high-energy pulse-burst laser, laser-aided material processing, etc.) has been extensively used in micro-machining and manufacturing of piezoelectric devices (e.g., piezoelectric resonator, piezoelectric generators, etc.), and the related thermo-electromechanical coupling analysis becomes more significantly important. In recent years, although rate-dependent piezoelectric thermoelasticity theories were historically proposed, the memory-dependence feature of strain relaxation and heat conduction has not been considered yet. In this work, the unified forms of fractional order strain and heat conduction are developed by adopting fractional derivatives of the Caputo (C), Caputo–Fabrizio (CF), Atangana–Baleanu (AB), and Tempered–Caputo (TC) types. Following these models, a fractional-order rate-dependent piezoelectric thermoelasticity is established. With the aid of an extended thermodynamics framework, the new constitutive and governing equations are derived. The proposed theory is applied to investigate dynamic thermo-electromechanical responses of smart piezoelectric composite laminates with imperfect interfacial conditions by the Laplace transformation approach. The influences of different fractional derivatives, imperfect interfacial conditions, and materials constants ratios on wave propagations and structural thermo-electromechanical responses are evaluated and discussed in detail.

超快加热技术（如高能脉冲群激光、激光辅助材料加工等）已广泛应用于压电器件（如压电谐振器、压电发电机等）的微加工和制造，相关的热机电耦合分析变得更加重要。近年来，虽然历史上提出了速率相关的压电热弹性理论，但尚未考虑应变弛豫和热传导的记忆相关特征。在这项工作中，通过采用 Caputo (C)、Caputo–Fabrizio (CF)、Atangana–Baleanu (AB) 和 Tempered–Caputo (TC) 类型的分数阶导数，开发了分数阶应变和热传导的统一形式。根据这些模型，建立了分数阶速率相关的压电热弹性。借助扩展的热力学框架，推导了新的本构方程和控制方程。该理论应用于通过拉普拉斯变换方法研究具有不完美界面条件的智能压电复合材料层压板的动态热机电响应。详细评估和讨论了不同分数阶导数、不完美的界面条件和材料常数比对波传播和结构热机电响应的影响。