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arXiv 2103.16010cs.LG
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理论指导的先进复合材料工艺模拟机器学习

Theory-Guided Machine Learning for Process Simulation of Advanced Composites

University of Washington(华盛顿大学);The University of British Columbia(不列颠哥伦比亚大学)

Navid Zobeiry, Anoush Poursartip

摘要:

基于科学的仿真工具,如有限元(FE)模型,通常用于科学和工程应用。虽然它们的成功在很大程度上取决于我们对基本物理定律的理解,但它们存在固有的局限性,包括保真度/准确性和速度之间的权衡。最近兴起的机器学习(ML)提出了一种理论不可知的范式。然而,在复杂的多物理问题中,创建足够大的数据集来成功训练ML模型已被证明是具有挑战性的。一个很有前途的策略,以弥合这些方法之间的鸿沟,并利用各自的优势是理论指导的机器学习(TGML),其目的是将物理定律集成到ML算法。本文介绍了三个先进复合材料加工过程中热管理的案例研究,并使用有限元、ML和TGML进行了研究。提出了一种结构化的方法,逐步增加越来越复杂的物理训练TGML模型。TGML相对于ML模型的优势在于更准确的预测,特别是在训练区域之外,以及使用小数据集进行训练的能力。TGML相对于FE的一个好处是显著的速度提高,从而有可能开发实时反馈系统。本文介绍了一个最近成功实现的TGML模型,用于评估航空复合材料零件的可生产性。

英文摘要:

Science-based simulation tools such as Finite Element (FE) models are routinely used in scientific and engineering applications. While their success is strongly dependent on our understanding of underlying governing physical laws, they suffer inherent limitations including trade-off between fidelity/accuracy and speed. The recent rise of Machine Learning (ML) proposes a theory-agnostic paradigm. In complex multi-physics problems, however, creating large enough datasets for successful training of ML models has proven to be challenging. One promising strategy to bridge the divide between these approaches and take advantage of their respective strengths is Theory-Guided Machine Learning (TGML) which aims to integrate physical laws into ML algorithms. In this paper, three case studies on thermal management during processing of advanced composites are presented and studied using FE, ML and TGML. A structured approach to incrementally adding increasingly complex physics to training of TGML model is presented. The benefits of TGML over ML models are seen in more accurate predictions, particularly outside the training region, and ability to train with small datasets. One benefit of TGML over FE is significant speed improvement to potentially develop real-time feedback systems. A recent successful implementation of a TGML model to assess producibility of aerospace composite parts is presented.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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