arXiv:2606.31921cs.LGcs.NA2026-06

用神经网络提升复合材料界面断裂模拟的收敛性,不改变原始物理模型。

Interface-Aware Neural Newton Preconditioning for Robust Cohesive Zone Model Simulations

论文配图:Interface-Aware Neural Newton Preconditioning for Robust Cohesive Zone Model Simulations
图 1 · 摘自论文原文
  • 设计可学习的界面修正机制,自动调整牛顿迭代初始值
  • 在多个真实场景中显著减少求解失败,收敛成功率提升
  • 适合航空航天复合材料仿真,尤其对难处理的断裂增量有效

粘结区模型(CZMs)广泛用于模拟航空航天复合结构中的界面断裂、分层、胶接失效和纤维-基体脱粘。在隐式准静态有限元分析中,粘结软化会导致界面切线为负、解跳变和牛顿盆地错位,使前一收敛状态成为下一增量的劣初始猜测,引发停滞、错误分支收敛或反复步长削减。现有方法如黏性正则化、路径跟踪、动态松弛和手动牛顿-拉夫逊(NR)修改,或改变有效响应、增加计算成本,或依赖人工规则。本文提出界面感知神经牛顿预条件器(IA-NNP),用于处理困难的CZM增量。该方法将人工NR修改重构为基于规则的界面提升,并推广为可学习的状态依赖修正。仅作用于活跃界面变量,保留原始牵引-分离律、残差组装、切线计算、历史更新和耗散检查。开发两种实现:用于学习初始猜测提升的IA-NNP-Init和用于迭代级非线性右预条件的IA-NNP-NL。界面图特征编码开度、牵引力、切线、损伤/历史变量、模式混合性、残差及邻近状态。修正有界、置信门控,并仅通过原始CZM牛顿求解接受。根等价性证明表明,IA-NNP改变收敛路径但不改变离散CZM解集。在水平、圆形、双界面和活性前沿基准测试中,相比标准NR和手动NR修改,表现出更优的困难增量收敛性、更好的分支恢复能力和更少失败,同时保持力-位移响应不变。

原文摘要 · Abstract (English)

Cohesive Zone Models (CZMs) are widely used to simulate interface fracture, delamination, adhesive failure, and fiber--matrix debonding in aerospace composite structures. In implicit quasi-static finite element analyses, cohesive softening may introduce negative interface tangents, solution jumps, and Newton-basin mismatch, so the previous converged state can become a poor initial guess for the next increment. This may lead to stagnation, wrong-branch convergence, or repeated step cuts. Existing remedies, including viscous regularization, path following, dynamic relaxation, and manual Newton--Raphson (NR) modification, either alter the effective response, increase cost, or rely on hand-crafted interface rules. This work proposes an Interface-Aware Neural Newton Preconditioner (IA-NNP) for difficult CZM increments. IA-NNP recasts manual NR modification as rule-based interface lifting and generalizes it into a learned, state-dependent interface correction. The method acts only on active interface variables and preserves the original traction--separation law, residual assembly, tangent evaluation, history update, and dissipation checks. Two realizations are developed: IA-NNP-Init for learned initial-guess lifting and IA-NNP-NL for iteration-level nonlinear right preconditioning. Interface graph features encode opening, traction, tangent, damage/history variables, mode mixity, residuals, and neighboring states. The correction is bounded, confidence-gated, and accepted only through the original CZM Newton solve. A root-equivalence property shows that IA-NNP changes the path to convergence but not the discrete CZM solution set. Tests on horizontal, circular, two-interface, and active-front benchmarks show improved difficult-increment convergence, better branch recovery, and fewer failures than standard NR and manual NR modification, while preserving the force--displacement response.

有限元界面断裂神经预条件复合材料

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。