Stress Relaxation and Viscoelastic Creep of Polymer Composites: A Critical Review of Models, Methods, and Mechanisms

Authors

  • Haozhe Jiang

DOI:

https://doi.org/10.54691/sj81zm68

Keywords:

Stress Relaxation; Viscoelastic Creep; Constitutive Modeling; Interconversion; Energy Dissipation; Damage Mechanics; Time-Temperature Superposition.

Abstract

This review provides a comprehensive and critical assessment of the literature on stress relaxation and viscoelastic creep in polymer composites, covering constitutive modeling, relaxation-creep interconversion, energy dissipation, time-dependent damage, and temperature effects. Three major constitutive approaches are compared and evaluated: the Prony series, the Standard Linear Solid model with finite loading rate correction, and fractional-order viscoelastic models. For interconversion, the Boltzmann convolution integral, direct SLS prediction formulas, and the engineering J 1/E approximation are critically assessed. A time-dependent damage framework D(t) extended from Weibull fatigue damage is discussed. Key gaps in the literature are identified, and future research directions are proposed.

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References

[1] Tajvidi M, Falk RH, Hermanson JC. Time-temperature superposition principle applied to a kenaf-fiber/high-density polyethylene composite. Journal of Applied Polymer Science, 2005, 97(5): 19952004.

[2] Tohmyoh H, Ito Y, Eguchi K, et al. Creep behavior of glass-fiber-reinforced nylon 6 products. Journal of Applied Polymer Science, 2012, 123(6): 3560-3568.

[3] Krairi A, Doghri I. A thermodynamically-based constitutive model for thermoplastic polymers coupling viscoelasticity, viscoplasticity and ductile damage. International Journal of Plasticity, 2014, 60: 163-181.

[4] Lin CY, Chen YC, Lin CH, Chang KV. Constitutive equations for analyzing stress relaxation and creep of viscoelastic materials based on standard linear solid model derived with finite loading rate. Polymers, 2022, 14(10): 2124.

[5] Brinson HF, Brinson LC. Polymer Engineering Science and Viscoelasticity: An Introduction. 2nd ed. Springer, 2015.

[6] Ferry JD. Viscoelastic Properties of Polymers. 3rd ed. Wiley, 1980.

[7] Welch SWJ, Rorrer RAL, Duren RG. Application of time-based fractional calculus methods to viscoelastic creep and stress relaxation of materials. Mechanics of Time-Dependent Materials, 1999, 3(3): 279-303.

[8] Liu J, Li Z, Yue G, Liu W, Cheng Z. Characterizing the stress relaxation behavior of unidirectional prepreg through a parallel fractional-order viscoelastic model. Materials Research Express, 2024, 11(3): 035308.

[9] Boltzmann L. Zur Theorie der elastischen Nachwirkung. Annalen der Physik, 1876, 241(11): 430-456.

[10] Amabili M, et al. Stress relaxation and viscous energy in nonlinear viscoelasticity: A rational extended thermodynamics framework. Journal of the Mechanics and Physics of Solids, 2025, 196: 106033.

[11] Weibull W. A statistical distribution function of wide applicability. Journal of Applied Mechanics, 1951, 18(3): 293-297.

[12] Kachanov LM. Introduction to Continuum Damage Mechanics. Springer, 1986.

[13] Lemaitre J, Desmorat R. Engineering Damage Mechanics. Springer, 2005.

[14] Zhang Q, Gu X, Yu Z, Liang J, Dong Q. Viscoelastic damage characteristics of asphalt mixtures using fractional rheology. Materials, 2021, 14(19): 5892.

[15] Williams ML, Landel RF, Ferry JD. The temperature dependence of relaxation mechanisms in amorphous polymers and other glass-forming liquids. Journal of the American Chemical Society, 1955, 77(14): 3701-3707.

[16] Mahdavipour Z, et al. Long-term creep response prediction: accelerated characterization of industrial grade nylon 66 and high-modulus low-shrinkage PET filaments. The Journal of The Textile Institute, 2025.

[17] Larson FR, Miller J. A time-temperature relationship for rupture and creep stresses. Transactions of the ASME, 1952, 74: 765-771.

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Published

2026-05-20

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Articles

How to Cite

Jiang, H. (2026). Stress Relaxation and Viscoelastic Creep of Polymer Composites: A Critical Review of Models, Methods, and Mechanisms. Scientific Journal of Technology, 8(5), 61-66. https://doi.org/10.54691/sj81zm68