arXiv:2605.02871physics.comp-phcs.LG2026-05

用多精度数据融合提升复合材料建模效率,加速设计与优化。

Multi-fidelity surrogates for mechanics of composites: from co-kriging to multi-fidelity neural networks

论文配图:Multi-fidelity surrogates for mechanics of composites: from co-kriging to multi-fidelity neural networks
图 1 · 摘自论文原文
  • 结合低成本低精度与少量高精度数据,构建高效预测模型。
  • 覆盖从材料到制造全流程,支持快速设计探索与逆向参数识别。
  • 适合需要降本增效的复合材料研发与工程仿真团队。

复合材料具有高度层级化和各向异性的特性,其力学行为受组分、铺层、层合结构、构件及制造历史等多重耦合机制影响,导致建模成本高昂,需大量实验与高保真模拟来覆盖广阔的设计空间。多精度代理建模通过融合大量低成本数据与少量高精度数据,实现可靠的高保真预测,有效缓解此问题。本文系统综述了复合材料力学中的多精度建模方法,涵盖基于高斯过程(如协同克里金、共区域化模型、自回归形式、非线性自回归高斯过程、多精度深度高斯过程)及多精度神经网络的方法,分析其在跨精度相关性、偏差表征、不确定性量化与可扩展性方面的差异。通过典型应用案例,展示了多精度代理模型在正向预测(快速探索材料设计空间)、逆向优化(有限高精度数据下的参数辨识与设计搜索)以及工作流集成(整合异构数据源、约束与验证需求)中的作用。最后讨论了复合材料领域特有的开放挑战,如非线性损伤与制造历史引发的精度区间依赖性差异、仿真与实验间的偏差,以及多精度模型中不确定性传播问题。

原文摘要 · Abstract (English)

Composite materials exhibit strongly hierarchical and anisotropic properties governed by coupled mechanisms spanning constituents, plies, laminates, structures, and manufacturing history. This intrinsic complexity makes predictive modeling of composites expensive, because repeated experiments and high-fidelity simulations are needed to cover large design spaces of material, structure, and manufacturing. Multi-fidelity surrogate modeling addresses this challenge by combining abundant, less expensive data with limited high-accuracy data to recover reliable high-fidelity predictions. This review presents a structured overview of multi-fidelity modeling for composite mechanics, covering Gaussian-process or Kriging-based methods, including co-Kriging, coregionalization models, autoregressive formulations, nonlinear autoregressive Gaussian processes, multi-fidelity deep Gaussian processes, and multi-fidelity neural networks. Their distinctions are examined in terms of cross-fidelity correlation, discrepancy representation, uncertainty quantification, and scalability. Selected examples of their applications to composites are introduced according to the roles that multi-fidelity surrogates play in engineering problems, including forward prediction for rapid exploration of material design spaces, inverse optimization for composite parameter identification and design search under limited high-fidelity access, and workflow integration, where heterogeneous data sources, constraints, and validation requirements determine model utility. Open question discussions highlight recurring challenges specific to composites, such as regime-dependent fidelity gaps associated with nonlinear damage and manufacturing history, mismatches between simulations and experiments, and uncertainty propagation across multi-fidelity models.

多精度建模复合材料代理模型高斯过程

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