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Article

Research on Unsteady Burgers Creep Constitutive Model and Secondary Development Application

1
School of Water Resources and Environmental Engineering, East China University of Technology, Nanchang 330013, China
2
School of Civil and Architecture Engineering, East China University of Technology, Nanchang 330013, China
3
China Tielong Engineering Group Co., Ltd., Chendu 610000, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2026, 16(1), 424; https://doi.org/10.3390/app16010424
Submission received: 2 December 2025 / Revised: 18 December 2025 / Accepted: 29 December 2025 / Published: 30 December 2025

Abstract

Considering the complexity and diversity of water-rich soft soil strata, indoor triaxial shear tests and creep tests were conducted on soft soil to explore its deformation law and creep characteristics. To address the nonlinear characteristics of soft soil creep, a nonlinear pot element was proposed and substituted for the two linear pot elements in the Burgers model, thus establishing an unsteady parametric Burgers model. The one-dimensional creep equation of the unsteady Burgers model was derived, theoretically determining that the unsteady model can describe three stages of creep. Based on this, the creep equation of the unsteady Burgers model was extended to a three-dimensional stress state, and the triaxial compression creep test curves of Ningbo soft soil were fitted and parameters identified. The above model was derived from a three-dimensional finite difference scheme suitable for numerical solution in FLAC3D. A custom constitutive creep model was developed in FLAC3D, and the non-accelerated creep stage and accelerated creep stage of the improved model were analyzed to verify the accuracy and reliability of the constitutive model. The results show that the numerical simulation results and the indoor creep test results are in good agreement in terms of strain increment and the creep change curve, which confirms the effectiveness and applicability of the proposed unsteady Burgers creep constitutive model and its secondary development application.
Keywords: soft soil creep; unsteady Burgers model; three-dimensional creep equation; parameter identification; secondary development soft soil creep; unsteady Burgers model; three-dimensional creep equation; parameter identification; secondary development

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MDPI and ACS Style

Zhu, R.; Wu, B.; Xu, S.; Liu, X.; Li, H. Research on Unsteady Burgers Creep Constitutive Model and Secondary Development Application. Appl. Sci. 2026, 16, 424. https://doi.org/10.3390/app16010424

AMA Style

Zhu R, Wu B, Xu S, Liu X, Li H. Research on Unsteady Burgers Creep Constitutive Model and Secondary Development Application. Applied Sciences. 2026; 16(1):424. https://doi.org/10.3390/app16010424

Chicago/Turabian Style

Zhu, Ruonan, Bo Wu, Shixiang Xu, Xi Liu, and Heshan Li. 2026. "Research on Unsteady Burgers Creep Constitutive Model and Secondary Development Application" Applied Sciences 16, no. 1: 424. https://doi.org/10.3390/app16010424

APA Style

Zhu, R., Wu, B., Xu, S., Liu, X., & Li, H. (2026). Research on Unsteady Burgers Creep Constitutive Model and Secondary Development Application. Applied Sciences, 16(1), 424. https://doi.org/10.3390/app16010424

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