Three-dimensional exact solutions for temperature and thermoelastic stresses in multilayered anisotropic plates are derived for advanced boundary-value problems with general boundary conditions. The extended Stroh formalism is formulated to include the thermal coupling with the Eringen nonlocal elasticity theory that captures small scale effects. The simply supported structures are subjected to time-harmonic distributions of temperature, combined with tractions, which are represented by means of Fourier series expansions. In particular, the prescribed loads on both the bottom and top surfaces include the uniformly and heterogeneously distributed normal stresses, while imperfect thermal and mechanical contacts between constituents are incorporated at the internal interfaces. Recursive field relations for multilayered plates with imperfect interfaces are consistently articulated by virtue of the traditional propagation matrix method, which is further completed by the dual variable and position technique to overcome numerical instability issues. Three application examples are proposed to throw light on various effects of the externally applied loads and internal imperfections on the thermoelastic fields in multilayered structures. The residual stress fields in graphite fiber-reinforced epoxy matrix composites are shown to be drastically different from those predicted by the classical elasticity theory when nonlocal effects are significant. The stacking sequence and the number of copper and molybdenum in laminated anisotropic plates are of great importance in tailoring interfacial properties, especially if the thermally conducting boundaries are taken into account. The forced vibration analysis of thermal barrier coatings on nickel based superalloys is investigated, including interfacial bonding effects between adjoining layers. Depending on the input frequency amplitude, severe oscillating displacements and stresses take place in the single crystal superalloys that can endanger the safety-related stability and integrity of aircraft engines. Overall, the present formalism should be utilized in the optimal design of sophisticated multilayered structures with desired steady-state and time-harmonic thermoelastic responses.

对于具有一般边界条件的高级边界值问题，得出了多层各向异性板中温度和热弹性应力的三维精确解。扩展的Stroh形式主义被公式化为包括与Eringen非局部弹性理论的热耦合，该理论捕捉了小规模的影响。简单支撑的结构会经受温度的时谐分布，并伴随着傅立叶级数展开表示的牵引力。尤其是，底表面和顶表面上的规定载荷包括均匀且不均匀分布的法向应力，而内部接口处会引入不完全的热接触和机械接触。借助传统的传播矩阵方法，可以始终如一地阐明具有不完美界面的多层板的递归场关系，该方法通过双重变量和位置技术进一步完善，以克服数值不稳定性问题。提出了三个应用示例，以阐明多层结构中外部施加的载荷和内部缺陷对热弹性场的各种影响。当非局部效应显着时，石墨纤维增强的环氧基复合材料的残余应力场与经典弹性理论所预测的残余应力场显着不同。叠层各向异性板中的堆叠顺序以及铜和钼的数量对于调整界面性能非常重要，特别是在考虑导热边界的情况下。研究了镍基高温合金上热障涂层的强制振动分析，包括相邻层之间的界面粘结效应。根据输入频率幅度，单晶高温合金中会发生剧烈的振动位移和应力，这会危害飞机发动机与安全相关的稳定性和完整性。总体而言，应在具有所需稳态和时谐热弹性响应的复杂多层结构的优化设计中利用本形式论。根据输入频率幅度，单晶高温合金中会发生剧烈的振动位移和应力，这会危害飞机发动机与安全相关的稳定性和完整性。总体而言，应在具有所需稳态和时谐热弹性响应的复杂多层结构的优化设计中利用本形式论。根据输入频率幅度，单晶高温合金中会发生剧烈的振动位移和应力，这会危害飞机发动机与安全相关的稳定性和完整性。总体而言，应在具有所需稳态和时谐热弹性响应的复杂多层结构的优化设计中利用本形式论。