The interface oxidation-induced cracking process in thermal barrier coatings (TBCs) is rather complex. It involves the material changes of chemical reactions, dynamic migration and diffusion of BC/TGO (bond coat/thermally grown oxide) interface, delamination of TC (top coat)/TGO and BC/TGO interfaces, multiple delamination cracks and their interactions within the TGO layer, etc. The complex process presents significant difficulties and challenges to simulation. To explore the comprehensive cracking mechanisms induced by the interface oxidation, we propose the coupled chemo-mechanical-damage model in a dual-horizon peridynamic framework (CMD-DHPD). The corresponding governing equations and their linearized forms are derived in the form of integral coupled equations for CMD-DHPD. The dual-horizon peridynamic diffusion-reaction equation and its linearization are derived based on the dual-horizon peridynamic correspondence principle. The nonlocal crack phase-field and interface phase-field are presented to address the geometric discontinuity of bulk materials and the material discontinuity in the region of the TC/TGO interface, respectively. In order to ensure convergence and accuracy, the BFGS Quasi-Newton algorithm is further enhanced to solve for the integral equations arising from the coupled chemo-mechanical-damage processes. The proposed CMD-DHPD captures the TGO growth pattern, interface cracks initiation, propagation and their interactions as observed in experiments. Therefore, it is extremely suitable for solving the interface oxidation-induced cracking process in thermal barrier coatings.

中文翻译：

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热障涂层中界面氧化引起的裂纹耦合化学机械损伤的双视野近场动力学建模


热障涂层（TBC）中界面氧化引起的开裂过程相当复杂。它涉及化学反应的材料变化、BC/TGO（粘结层/热生长氧化物）界面的动态迁移和扩散、TC（面漆）/TGO和BC/TGO界面的分层、多重分层裂纹及其在内部的相互作用。 TGO层等复杂的工艺给仿真带来了巨大的困难和挑战。为了探索界面氧化引起的综合开裂机制，我们提出了双视野近场动力学框架中的耦合化学机械损伤模型（CMD-DHPD）。相应的控制方程及其线性化形式以CMD-DHPD积分耦合方程的形式导出。基于双视界近场动力学对应原理，推导了双视界近场动力学扩散反应方程及其线性化。非局部裂纹相场和界面相场分别用于解决块体材料的几何不连续性和 TC/TGO 界面区域的材料不连续性。为了确保收敛性和准确性，BFGS拟牛顿算法得到进一步增强，以求解化学-机械-损伤耦合过程产生的积分方程。所提出的 CMD-DHPD 捕获了实验中观察到的 TGO 生长模式、界面裂纹萌生、扩展及其相互作用。因此，非常适合解决热障涂层中的界面氧化裂纹过程。