journal article·2026-06Open access

Curing deformation prediction of aircraft-grade toughened composites based on the indirect characterization method

Meiyu Liu, Yuncong Feng, Deyong Sun, Yueqing Zhao, Xiaobing Li, Weizhao Zhang

Abstract

Accurate numerical simulation of curing deformation is essential for manufacturing high-quality thermoset carbon fiber composites. However, reliable material properties for constitutive modeling of aircraft-grade toughened prepregs remain challenging, primarily due to the extremely high viscosity of modified resin matrix, which hinders the preparation of low-porosity specimens critical for experimental characterization. To address this, we develop an indirect characterization method for resin’s curing characteristics using unidirectional composite prepreg as the test medium. Pure resin thermodynamic properties are derived from composite measurement data via reverse homogenization, enabling comprehensive evaluation of unidirectional composites with varying fiber volume fractions. The approach integrates the time-temperature superposition principle (TTSP) with Laplace-domain micromechanics, effectively circumventing complex viscoelastic convolution integrals in the constitutive model. Finally, a comprehensive material model of the composite material is integrated into a coupled constitutive model in Abaqus/Standard using a user-defined finite element analysis (FEA) subroutine, which considers the diversity of composite structure geometry, lamination sequence, and fiber volume fraction. Validation experiments on beam-shaped and L-shaped laminates show that the proposed method achieves a prediction accuracy of over 91.1% for curing-induced deformation, which is in good agreement with the finite element analysis results. This method not only provides a robust framework for characterizing and modeling high-viscosity resins and their composites but also enables efficient process optimization for complex composite components, thereby significantly reducing costly experimental expenses. • Proposed an indirect characterization method for highly viscous toughened thermoset resins. • Integrated TTSP with Laplace-domain micromechanics to avoid complex viscoelastic convolution integrals in constitutive modeling. • Established a coupled chemo-thermo-mechanical constitutive model implemented in Abaqus/Standard, achieving >91.1% prediction accuracy for curing-induced deformation of composite laminates. • Provided a systematic framework for next-generation aircraft-grade composites, reducing costly experiments.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Epoxy Resin Curing Processes · Mechanical Behavior of Composites · Fiber-reinforced polymer composites

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (46)

Show source-provided references
1. Phase structure characterization and compatibilization mechanism of epoxy asphalt modified by thermoplastic elastomer (SBS)10.1016/j.conbuildmat.2021.126262 ↗
2. Experimental research on damage tolerance and air tightness of typical composite panels
3. Inclusion of a thermoplastic phase to improve impact and post-impact performances of carbon fibre reinforced thermosetting composites—A review10.1016/j.matdes.2015.07.001 ↗
4. Understanding the curing kinetics of boron-based hyperbranched polysiloxane reinforced and toughened epoxy resin by rheology10.1016/j.cej.2023.143542 ↗
5. Toughness and its mechanisms in epoxy resins10.1016/j.pmatsci.2022.100977 ↗
6. Synergistically toughened epoxy resin based on modified-POSS triggered interpenetrating network10.1016/j.polymer.2023.125719 ↗
7. Shear driven deformation and damage mechanisms in high-performance carbon Fibre-reinforced thermoplastic and toughened thermoset composites subjected to high strain loading10.1016/j.compstruct.2020.113289 ↗
8. Influence on fracture toughness arising from controlled morphology of multiphase toughened epoxy resins in the presence of fibre reinforcement10.1016/j.compscitech.2021.109095 ↗
9. Study on cure-induced residual stresses and spring-in deformation of L-shaped composite laminates using a simplified constitutive model considering stress relaxation10.1016/j.compstruct.2021.114203 ↗
10. Thermoforming process effects on structural performance of carbon fiber reinforced thermoplastic composite parts through a manufacturing to response pathway10.1016/j.compositesb.2022.109728 ↗
11. Investigation of cure induced shrinkage in unreinforced epoxy resin10.1179/146580102225006350 ↗
12. Cure-induced residual stresses for warpage reduction in thermoset laminates10.1177/0021998320908631 ↗
13. A coupled 3D hyper-viscoelastic constitutive model for thin woven composite prepregs in preforming and consolidation10.1016/j.compositesb.2025.112514 ↗
14. Advances in toughening modification methods for epoxy resins: a comprehensive review10.3390/polym17091288 ↗
15. Improving composite resin performance through decreasing its viscosity by different methods10.2174/1874210601509010235 ↗
16. The effect of acetone addition on the properties of epoxy10.1590/S0104-14282008000100015 ↗
17. Characterization and finite element modeling for thermoset resin of carbon fiber prepregs during curing10.1115/1.4053731 ↗
18. Digital image correlation measurement of resin chemical and thermal shrinkage after gelation10.1007/s10853-015-9072-3 ↗
19. Modeling‐based characterization for thermal expansion and chemical shrinkage of highly viscous epoxy resin with thermoplastic additives under the curing condition
20. Effect of strain rate and silica filler content on the compressive behavior of RTM6 epoxy-based nanocomposites10.3390/polym13213735 ↗
21. Viscoelastic properties of an epoxy resin during cure10.1177/a037323 ↗
22. Effect of curing pressure on the curing behavior of an epoxy system: curing kinetics and simulation verification10.1016/j.polymer.2022.125162 ↗
23. A study of cure kinetics by the use of dynamic differential scanning calorimetry10.1016/S0266-3538(01)00188-9 ↗
24. Experimental modeling of the cure kinetics of an epoxy-hexaanhydro-4-methylphthalicanhydride (MHHPA) system10.1016/S0032-3861(99)00409-7 ↗
25. Autocatalytic curing kinetics of thermosetting polymers: a new model based on temperature dependent reaction orders10.1016/j.polymer.2010.05.056 ↗
26. Determination of autocatalytic kinetic model parameters describing thermoset cure10.1002/app.1994.070510424 ↗
27. ASTM E1461-13, 2013, Standard Test Method for Thermal Diffusivity by the Flash Method, ASTM International, West Conshohocken, PA.
28. Characterizing thermal conductivity of high-toughness resin and its carbon fiber reinforced composite under curing condition
29. Fire performance of natural fibre composites in construction
30. Thermal expansion behaviour of unidirectional carbon-fibre-reinforced copper-matrix composites10.1016/S1359-835X(98)00066-9 ↗
31. Computationally efficient pseudo-viscoelastic models for evaluation of residual stresses in thermoset polymer composites during cure10.1016/j.compositesa.2009.10.009 ↗
32. Time and temperature dependence of the viscoelastic properties of CFRP by dynamic mechanical analysis10.1016/j.compstruct.2004.08.025 ↗
33. Shaw · 2018
34. Time–temperature superposition principle and its application to biopolymer and food rheology
35. Nonlinear viscoelastic behavior and their time-temperature superposition for filled styrene butadiene rubber compounds and vulcanizates10.1016/j.compscitech.2022.109739 ↗
36. Ten-deg off-axis test for shear properties in fiber composites: it is demonstrated that the 10-deg off-axis tensile test is an accurate and convenient test method for the intralaminar-shear characterization of unidirectional fiber composites10.1007/BF02326320 ↗
37. On the optimal choice of fibre orientation angle in off-axis tensile test using oblique end-tabs: theoretical and experimental studies10.1016/j.compscitech.2019.04.022 ↗
38. The 10 off-axis tensile test: a critical approach10.1016/0266-3538(96)00004-8 ↗
39. Evaluation of the off‐axis and on‐axis tensile creep behavior of glass‐fiber reinforced polymer unidirectional lamina10.1002/pc.29153 ↗
40. Applications of Savitzky-Golay filter for seismic random noise reduction10.1515/acgeo-2015-0062 ↗
41. Automated procedure for generation of creep compliance master curve for asphalt mixtures10.3141/1630-04 ↗
42. New method for estimating shift factors in time–temperature superposition models10.1007/s10973-013-3193-1 ↗
43. Bounds and estimates of overall moduli of composites with periodic microstructure10.1016/0167-6636(93)90016-K ↗
44. Micromechanical formulas for the relaxation tensor of linear viscoelastic composites with transversely isotropic fibers10.1016/0020-7683(94)00233-M ↗
45. Thermomechanical analysis of viscoelastic solids10.1002/nme.1620020106 ↗
46. NIH image to ImageJ: 25 years of image analysis10.1038/nmeth.2089 ↗