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Article

A Physics-Informed Manifold Neural Operator Framework for Multi-Parameter Prediction of Polymer Aging in HTPB Solid Propellants

National Key Laboratory of Solid Rocket Propulsion, PLA Rocket Force University of Engineering, Xi’an 710025, China
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Author to whom correspondence should be addressed.
Polymers 2026, 18(11), 1400; https://doi.org/10.3390/polym18111400
Submission received: 14 April 2026 / Revised: 1 June 2026 / Accepted: 2 June 2026 / Published: 4 June 2026
(This article belongs to the Section Polymer Analysis and Characterization)

Abstract

Predictive modeling of thermal aging in solid propellants is challenging because HTPB-based propellants are highly filled particle-reinforced polymer systems with sparse experimental data, nonlinear parameter coupling, and partially unclear aging mechanisms. This study proposes a Physics-Informed Manifold Neural Operator (PIMANO) framework for multi-parameter prediction of polymer aging in HTPB solid propellants. Accelerated thermal aging, stress relaxation, and swelling experiments were used to obtain aging temperature, aging time, crosslinking density, and viscoelastic Prony-series parameters. A continuous aging-state field was first reconstructed over the temperature–time domain by radial basis function interpolation. Crosslinking density was then introduced as a physically interpretable bridge-state variable linking aging conditions with viscoelastic responses. Among three candidate kinetic models, the modified Arrhenius–Avrami model gave the best fitting performance for crosslinking-density evolution, with R2 = 0.988 and MRE = 0.0199. By combining local multi-scale neighborhood features, manifold latent representations, and DeepONet-based operator learning, PIMANO established a unified mapping from aging conditions to multi-parameter viscoelastic responses while incorporating bridge-state consistency, parameter non-negativity, and evolution-direction constraints. Under the RBF-augmented validation setting, PIMANO-ae achieved RMSE = 0.7847, MAE = 0.3366, R2 = 0.9995, and MRE = 0.0027. Compared with the traditional model, RMSE, MAE, and MRE were reduced by 94.93%, 96.47%, and 96.85%, respectively. Temperature leave-one-out validation further yielded average R2 values of 0.9469–0.9647 and MRE values of 4.98–6.21% at unseen aging temperatures. These results demonstrate that PIMANO provides an accurate, stable, and physically interpretable framework for multi-parameter aging prediction and life-assessment modeling of polymer-based energetic materials.
Keywords: solid propellant; accelerated thermal aging; crosslink density; physics-informed learning; neural operator; manifold learning solid propellant; accelerated thermal aging; crosslink density; physics-informed learning; neural operator; manifold learning

Share and Cite

MDPI and ACS Style

Liu, S.; Qiang, H.; Geng, T.; Wang, X.; Pei, S.; Ju, X. A Physics-Informed Manifold Neural Operator Framework for Multi-Parameter Prediction of Polymer Aging in HTPB Solid Propellants. Polymers 2026, 18, 1400. https://doi.org/10.3390/polym18111400

AMA Style

Liu S, Qiang H, Geng T, Wang X, Pei S, Ju X. A Physics-Informed Manifold Neural Operator Framework for Multi-Parameter Prediction of Polymer Aging in HTPB Solid Propellants. Polymers. 2026; 18(11):1400. https://doi.org/10.3390/polym18111400

Chicago/Turabian Style

Liu, Shun, Hongfu Qiang, Tingjing Geng, Xueren Wang, Shudi Pei, and Xin Ju. 2026. "A Physics-Informed Manifold Neural Operator Framework for Multi-Parameter Prediction of Polymer Aging in HTPB Solid Propellants" Polymers 18, no. 11: 1400. https://doi.org/10.3390/polym18111400

APA Style

Liu, S., Qiang, H., Geng, T., Wang, X., Pei, S., & Ju, X. (2026). A Physics-Informed Manifold Neural Operator Framework for Multi-Parameter Prediction of Polymer Aging in HTPB Solid Propellants. Polymers, 18(11), 1400. https://doi.org/10.3390/polym18111400

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