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Liu Q, Abueidda D, Vyas S, Gao Y, Koric S, Geubelle PH. Adaptive Data-Driven Deep-Learning Surrogate Model for Frontal Polymerization in Dicyclopentadiene. J Phys Chem B 2024; 128:1220-1230. [PMID: 38291794 DOI: 10.1021/acs.jpcb.3c07714] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/01/2024]
Abstract
Frontal polymerization (FP) is a self-sustaining curing process that enables rapid and energy-efficient manufacturing of thermoset polymers and composites. Computational methods conventionally used to simulate the FP process are time-consuming, and repeating simulations are required for sensitivity analysis, uncertainty quantification, or optimization of the manufacturing process. In this work, we develop an adaptive surrogate deep-learning model for FP of dicyclopentadiene (DCPD), which predicts the evolution of temperature and degree of cure orders of magnitude faster than the finite-element method (FEM). The adaptive algorithm provides a strategy to select training samples efficiently and save computational costs by reducing the redundancy of FEM-based training samples. The adaptive algorithm calculates the residual error of the FP governing equations using automatic differentiation of the deep neural network. A probability density function expressed in terms of the residual error is used to select training samples from the Sobol sequence space. The temperature and degree of cure evolution of each training sample are obtained by a 2D FEM simulation. The adaptive method is more efficient and has a better prediction accuracy than the random sampling method. With the well-trained surrogate neural network, the FP characteristics (front speed, shape, and temperature) can be extracted quickly from the predicted temperature and degree-of-cure fields.
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Affiliation(s)
- Qibang Liu
- Beckman Institute for Advanced Science and Technology, University of Illinois, Urbana-Champaign, Illinois 61801, United States
- Department of Aerospace Engineering, University of Illinois, Urbana-Champaign, Illinois 61801, United States
| | - Diab Abueidda
- National Center for Supercomputing Applications, University of Illinois, Urbana-Champaign, Illinois 61801, United States
| | - Sagar Vyas
- Beckman Institute for Advanced Science and Technology, University of Illinois, Urbana-Champaign, Illinois 61801, United States
- Department of Aerospace Engineering, University of Illinois, Urbana-Champaign, Illinois 61801, United States
| | - Yuan Gao
- State Key Laboratory of Digital Manufacturing Equipment and Technology, Huazhong University of Science and Technology, Wuhan 430074, China
| | - Seid Koric
- National Center for Supercomputing Applications, University of Illinois, Urbana-Champaign, Illinois 61801, United States
- Department of Mechanical Science and Engineering, University of Illinois, Urbana-Champaign, Illinois 61801, United States
| | - Philippe H Geubelle
- Beckman Institute for Advanced Science and Technology, University of Illinois, Urbana-Champaign, Illinois 61801, United States
- Department of Aerospace Engineering, University of Illinois, Urbana-Champaign, Illinois 61801, United States
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Cencer MM, Suslick BA, Moore JS. From skeptic to believer: The power of models. Tetrahedron 2022. [DOI: 10.1016/j.tet.2022.132984] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/14/2022]
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Ferguson AL, Hachmann J, Miller TF, Pfaendtner J. The Journal of Physical Chemistry A/ B/ C Virtual Special Issue on Machine Learning in Physical Chemistry. J Phys Chem A 2021; 124:9113-9118. [PMID: 33147969 DOI: 10.1021/acs.jpca.0c09205] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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Kumar A, Gao Y, Geubelle PH. Analytical estimates of front velocity in the frontal polymerization of thermoset polymers and composites. JOURNAL OF POLYMER SCIENCE 2021. [DOI: 10.1002/pol.20210155] [Citation(s) in RCA: 10] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/24/2022]
Affiliation(s)
- Aditya Kumar
- Department of Aerospace Engineering University of Illinois Urbana Illinois 61801 USA
- Beckman Institute for Advanced Science and Technology University of Illinois Urbana Illinois 61801 USA
| | - Yuan Gao
- Department of Aerospace Engineering University of Illinois Urbana Illinois 61801 USA
- Beckman Institute for Advanced Science and Technology University of Illinois Urbana Illinois 61801 USA
| | - Philippe H. Geubelle
- Department of Aerospace Engineering University of Illinois Urbana Illinois 61801 USA
- Beckman Institute for Advanced Science and Technology University of Illinois Urbana Illinois 61801 USA
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Deep Learning Sequence Methods in Multiphysics Modeling of Steel Solidification. METALS 2021. [DOI: 10.3390/met11030494] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/13/2022]
Abstract
The solidifying steel follows highly nonlinear thermo-mechanical behavior depending on the loading history, temperature, and metallurgical phase fraction calculations (liquid, ferrite, and austenite). Numerical modeling with a computationally challenging multiphysics approach is used on high-performance computing to generate sufficient training and testing data for subsequent deep learning. We have demonstrated how the innovative sequence deep learning methods can learn from multiphysics modeling data of a solidifying slice traveling in a continuous caster and correctly and instantly capture the complex history and temperature-dependent phenomenon in test data samples never seen by the deep learning networks.
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Ferguson AL, Hachmann J, Miller TF, Pfaendtner J. The Journal of Physical Chemistry A/ B/ C Virtual Special Issue on Machine Learning in Physical Chemistry. J Phys Chem B 2021; 124:9767-9772. [PMID: 33147970 DOI: 10.1021/acs.jpcb.0c09206] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
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