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第 46 卷          怯亚东,等: 基于相场法与傅里叶神经算子的柱壳裂纹演化预测方法                                 第 5 期

                3    结 论

                   针对柱壳结构在复杂工况下的裂纹萌生与扩展问题,提出了一种基于相场法与                                    FNO  的高效预测框
               架。通过构建有限元相场模型生成裂纹演化数据,并设计串联                            FNO  模型分别用于裂纹萌生与扩展的预
               测,实现了对柱壳结构裂纹全过程的快速、准确建模。
                   所提出的基于相场法与           FNO  的耦合框架在不同临界能量释放率分布、随机几何条件及变载荷工况
               下均能保持较高的预测精度,且在计算效率上远优于传统有限元方法。该方法能够有效捕捉裂纹演化
               过程中的复杂时空特征,为柱壳结构断裂行为的预测与评估提供了新的思路和工具。
                   相比于传统数值模拟方法,本研究提出的框架不仅显著降低了计算成本,而且展现出良好的泛化能
               力,能够适应随机性和不确定性较强的复杂工况。这一优势使得该方法在工程实践中的快速断裂评估
               和结构优化设计方面具有潜在的应用价值。
                   未来工作将重点围绕          2  个方向展开:(1) 进一步融合断裂力学理论与数据驱动方法,提升模型在复
               杂多场耦合条件下的物理一致性与预测精度;(2) 扩展该方法在实际工程案例中的应用验证,推动其在大
               型结构安全评估、失效预警与智能设计中的应用。


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