Thermo-mechanical properties of the functionally graded materials (FGMs) are the pivotal role to improve their service lives exposed to some extraordinary thermal circumstances. An analytical procedure to explore the thermo-mechanical interaction involving the micro-scale effect is proposed for the first time in this work. The governing equations are firstly constructed in a cylindrical coordinate in the context of the generalized Chandrasekharaiah-Tzou Chandrasekharaiah–Tzou theory (C-T (C–T theory). An asymptotic approach, based on the Laplace transform technique and its limit theorem, is then employed to solve these equations analytically, in which a common linearization technique is prior to introduce to disperse the non-linear terms involving variable material properties with different gradient patterns. The layer-formed solutions of a typical FGM hollow cylindrical structure with its inner boundary subjected to a sudden temperature rise is finally obtained and validated. A detailed parametric study has been conducted to explore the effect of the micro-structure interaction, physical properties distribution patterns, and the structure size on the thermo-mechanical response. The results state that the effect of micro-structure interaction mainly focuses on the thermal wave propagation and is more significant for the ceramic-rich case. The delay effect on the heat transport induced by thermal inertia is also wakened significantly by the micro-structure interaction, which leads to a lager larger range of thermo-elastic response and smaller peak stress.

功能梯度材料（FGM）的热机械性能是延长其在某些特殊热环境下使用寿命的关键作用。这项工作中首次提出了一种分析程序，以探索涉及微观尺度效应的热力相互作用。首先在广义Chandrasekharaiah-Tzou Chandrasekharaiah-Tzou理论（CT（C–T理论））的背景下，在圆柱坐标系中构造控制方程，然后采用基于Laplace变换技术及其极限定理的渐近方法。为了解析地解析这些方程式，其中先引入一种常见的线性化技术来分散涉及具有不同梯度模式的可变材料特性的非线性项。最终获得并验证了典型FGM中空圆柱结构的层状溶液，其内部边界承受突然的温度升高。已经进行了详细的参数研究，以探索微结构相互作用，物理性质分布模式以及结构尺寸对热机械响应的影响。结果表明，微结构相互作用的影响主要集中在热波传播上，对于富含陶瓷的情况更重要。微结构相互作用也显着地唤醒了由热惯性引起的对热传递的延迟效应，这导致更大范围的热弹性响应和较小的峰值应力。