FilDeep: Learning Large Deformations of Elastic-Plastic Solids with Multi-Fidelity Data

TL;DR

FilDeep introduces a novel deep learning framework that leverages multi-fidelity data to accurately model large elastic-plastic deformations, overcoming data scarcity and accuracy trade-offs in manufacturing simulations.

Contribution

The paper presents the first deep learning framework for large deformation problems that effectively combines low- and high-fidelity data using attention-enabled modules.

Findings

Achieves state-of-the-art accuracy in large deformation modeling

Efficiently utilizes multi-fidelity data for improved performance

Demonstrates practical deployment in manufacturing scenarios

Abstract

The scientific computation of large deformations in elastic-plastic solids is crucial in various manufacturing applications. Traditional numerical methods exhibit several inherent limitations, prompting Deep Learning (DL) as a promising alternative. The effectiveness of current DL techniques typically depends on the availability of high-quantity and high-accuracy datasets, which are yet difficult to obtain in large deformation problems. During the dataset construction process, a dilemma stands between data quantity and data accuracy, leading to suboptimal performance in the DL models. To address this challenge, we focus on a representative application of large deformations, the stretch bending problem, and propose FilDeep, a Fidelity-based Deep Learning framework for large Deformation of elastic-plastic solids. Our FilDeep aims to resolve the quantity-accuracy dilemma by simultaneously training with both low-fidelity and high-fidelity data, where the former provides greater quantity but lower accuracy, while the latter offers higher accuracy but in less quantity. In FilDeep, we provide meticulous designs for the practical large deformation problem. Particularly, we propose attention-enabled cross-fidelity modules to effectively capture long-range physical interactions across MF data. To the best of our knowledge, our FilDeep presents the first DL framework for large deformation problems using MF data. Extensive experiments demonstrate that our FilDeep consistently achieves state-of-the-art performance and can be efficiently deployed in manufacturing.