AI 中文总结
本研究构建统一多物理场-概率框架，整合多种效应建模功能梯度可磨耗涂层的热-粘弹性损伤，揭示几何公差对损伤分布的影响，为涂层可靠性筛选提供支撑。
AI 中文摘要
在航空发动机中，功能梯度可磨耗涂层用于控制叶尖间隙，但其耐久性受现有模型常单独处理的多种效应影响，包括温度相关的粘弹性软化、渐进式损伤、沉积诱导的微观结构调制以及几何公差。本研究将这些效应整合至统一的多物理场-概率框架中。求解域为沿厚度方向的局部涂层柱，由规定的应变和温度历程驱动，该历程包含热本征应变以及涂层-基底的膨胀失配。结果显示，与单调梯度相比，周期性属性调制会增加循环结束时的损伤，并将最大应力集中在局部调制波峰内。通过耦合求解器传播对称几何公差，会产生强烈右偏的损伤分布，且调制梯度的分类级超限概率高于单调梯度；这种超限行为无法通过名义几何的确定性分析获得。该实现通过空间和时间细化、闭式单元测试、含Wilson置信区间的嵌套蒙特卡洛收敛以及预留验证的多项式响应面进行验证。数值验证与实验验证明确区分，模拟案例被作为通用基准而非特定材料模型呈现。该框架将沉积参数和公差带与损伤超限风险关联，支持面向可靠性的梯度及多层涂层系统筛选。
英文摘要
In aircraft engines, functionally graded abradable coatings are used to control blade-tip clearance, but their durability is governed by effects that are often treated separately in existing models, including temperature-dependent viscoelastic softening, progressive damage, deposition-induced microstructural modulation, and geometric tolerances. This study integrates these effects within a unified multiphysics--probabilistic framework. The solved domain is a local through-thickness coating column driven by prescribed strain and temperature histories that include thermal eigenstrain and coating--substrate expansion mismatch. The results show that periodic property modulation increases end-of-cycle damage relative to the monotonic gradient and concentrates the maximum stress within a localized modulation crest. Propagating symmetric geometric tolerances through the coupled solver produces a strongly right-skewed damage distribution and a higher classification-level exceedance probability for the modulated gradient than for the monotonic gradient. This exceedance behavior cannot be obtained from a deterministic analysis performed at nominal geometry. The implementation is verified through spatial and temporal refinement, closed-form unit tests, nested Monte Carlo convergence with Wilson confidence intervals, and a hold-out-validated polynomial response surface. Numerical verification is clearly distinguished from experimental validation, and the simulated case is presented as a generic benchmark rather than an identified material model. The framework links deposition parameters and tolerance bands to damage-exceedance risk, supporting reliability-oriented screening of graded and multilayer coating systems.
