DeepOFormer: Deep Operator Learning with Domain-informed Features for Fatigue Life Prediction

Fuente: arXiv
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Main Authors: Li, Chenyang, Kapure, Tanmay Sunil, Roy, Prokash Chandra, Gan, Zhengtao, Shen, Bo
Format: Preprint
Published: 2025
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author Li, Chenyang
Kapure, Tanmay Sunil
Roy, Prokash Chandra
Gan, Zhengtao
Shen, Bo
author_facet Li, Chenyang
Kapure, Tanmay Sunil
Roy, Prokash Chandra
Gan, Zhengtao
Shen, Bo
contents Fatigue life characterizes the duration a material can function before failure under specific environmental conditions, and is traditionally assessed using stress-life (S-N) curves. While machine learning and deep learning offer promising results for fatigue life prediction, they face the overfitting challenge because of the small size of fatigue experimental data in specific materials. To address this challenge, we propose, DeepOFormer, by formulating S-N curve prediction as an operator learning problem. DeepOFormer improves the deep operator learning framework with a transformer-based encoder and a mean L2 relative error loss function. We also consider Stussi, Weibull, and Pascual and Meeker (PM) features as domain-informed features. These features are motivated by empirical fatigue models. To evaluate the performance of our DeepOFormer, we compare it with different deep learning models and XGBoost on a dataset with 54 S-N curves of aluminum alloys. With seven different aluminum alloys selected for testing, our DeepOFormer achieves an R2 of 0.9515, a mean absolute error of 0.2080, and a mean relative error of 0.5077, significantly outperforming state-of-the-art deep/machine learning methods including DeepONet, TabTransformer, and XGBoost, etc. The results highlight that our Deep0Former integrating with domain-informed features substantially improves prediction accuracy and generalization capabilities for fatigue life prediction in aluminum alloys.
format Preprint
id arxiv_https___arxiv_org_abs_2503_22475
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle DeepOFormer: Deep Operator Learning with Domain-informed Features for Fatigue Life Prediction
Li, Chenyang
Kapure, Tanmay Sunil
Roy, Prokash Chandra
Gan, Zhengtao
Shen, Bo
Machine Learning
Fatigue life characterizes the duration a material can function before failure under specific environmental conditions, and is traditionally assessed using stress-life (S-N) curves. While machine learning and deep learning offer promising results for fatigue life prediction, they face the overfitting challenge because of the small size of fatigue experimental data in specific materials. To address this challenge, we propose, DeepOFormer, by formulating S-N curve prediction as an operator learning problem. DeepOFormer improves the deep operator learning framework with a transformer-based encoder and a mean L2 relative error loss function. We also consider Stussi, Weibull, and Pascual and Meeker (PM) features as domain-informed features. These features are motivated by empirical fatigue models. To evaluate the performance of our DeepOFormer, we compare it with different deep learning models and XGBoost on a dataset with 54 S-N curves of aluminum alloys. With seven different aluminum alloys selected for testing, our DeepOFormer achieves an R2 of 0.9515, a mean absolute error of 0.2080, and a mean relative error of 0.5077, significantly outperforming state-of-the-art deep/machine learning methods including DeepONet, TabTransformer, and XGBoost, etc. The results highlight that our Deep0Former integrating with domain-informed features substantially improves prediction accuracy and generalization capabilities for fatigue life prediction in aluminum alloys.
title DeepOFormer: Deep Operator Learning with Domain-informed Features for Fatigue Life Prediction
topic Machine Learning
url https://arxiv.org/abs/2503.22475