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Peer-reviewedCC BY 4.0PLOS One

Resilient modulus characteristics and model prediction of cement phosphogypsum under dry-wet cycling conditions

  1. 1College of Civil Engineering, Guizhou University, Guiyang, China
  2. 2School of Civil Engineering, Southwest Jiaotong University, Chengdu, China
  3. 3School of Architectural Engineering, Kaili University, Kaili, Guizhou, China

Abstract

The subgrade resilient modulus is a crucial parameter in pavement structure design, directly related to the safety and economy of the pavement structure. Currently, the subgrade resilient modulus used in pavement structure design is the static resilient modulus. To address this issue, this paper employs dynamic triaxial tests to analyze the effects of confining stress (σ3), cyclic dynamic stress (σd), wet-dry cycles (N), and cement dosage (C) on the resilient modulus (MR). It explores the relationship among the MR, static resilient modulus, and 7-day unconfined compressive strength (σc), and proposes a predictive model for MR considering C and N. SEM and XRD methods are used to analyze the mechanism of the effect of wet-dry cycles on MR at the microstructural level. The results show that; (1) The MR of the PG mixture increases with the rise of σ3 and decreases with the increase of σd, is positively correlated with C, and negatively correlated with the number of N, with the decay of MR mainly concentrated in the first four wet-dry cycles and gradually stabilizing afterwards, which is explained through SEM and XRD analysis. (2) By comparing MR and the static resilient modulus, it is found that the MR of PG specimens under wet-dry cycles is 1.25–1.30 times that of the static resilient modulus, this ratio can be used to make a preliminary estimation of the MR of C-stabilized PG materials. (3) The model relating σc and MR follows a linear relationship, with correlation coefficients for the fit all exceeding 0.94, indicating a good fit. (4) A model for predicting MR that incorporates N and C was proposed, and the reliability of this model was verified by comparing predicted values with experimental data. The predicted MR provides a reliable basis for pavement design and holds significant engineering value.

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BibTeX
@article{gan2026resilient,
  title = {{Resilient modulus characteristics and model prediction of cement phosphogypsum under dry-wet cycling conditions}},
  author = {Wengang Gan and Kaisheng Chen and Jinxiong Chen and Yu’ang Chen and Shuang Deng},
  journal = {PLOS One},
  year = {2026},
  month = sep,
  doi = {10.1371/journal.pone.0341539},
  url = {https://doi.org/10.1371/journal.pone.0341539},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Resilient modulus characteristics and model prediction of cement phosphogypsum under dry-wet cycling conditions
AU  - Wengang Gan
AU  - Kaisheng Chen
AU  - Jinxiong Chen
AU  - Yu’ang Chen
AU  - Shuang Deng
PY  - 2026
DA  - 2026/09/08
JO  - PLOS One
DO  - 10.1371/journal.pone.0341539
UR  - https://doi.org/10.1371/journal.pone.0341539
AB  - The subgrade resilient modulus is a crucial parameter in pavement structure design, directly related to the safety and economy of the pavement structure. Currently, the subgrade resilient modulus used in pavement structure design is the static resilient modulus. To address this issue, this paper employs dynamic triaxial tests to analyze the effects of confining stress (σ3), cyclic dynamic stress (σd), wet-dry cycles (N), and cement dosage (C) on the resilient modulus (MR). It explores the relationship among the MR, static resilient modulus, and 7-day unconfined compressive strength (σc), and proposes a predictive model for MR considering C and N. SEM and XRD methods are used to analyze the mechanism of the effect of wet-dry cycles on MR at the microstructural level. The results show that; (1) The MR of the PG mixture increases with the rise of σ3 and decreases with the increase of σd, is positively correlated with C, and negatively correlated with the number of N, with the decay of MR mainly concentrated in the first four wet-dry cycles and gradually stabilizing afterwards, which is explained through SEM and XRD analysis. (2) By comparing MR and the static resilient modulus, it is found that the MR of PG specimens under wet-dry cycles is 1.25–1.30 times that of the static resilient modulus, this ratio can be used to make a preliminary estimation of the MR of C-stabilized PG materials. (3) The model relating σc and MR follows a linear relationship, with correlation coefficients for the fit all exceeding 0.94, indicating a good fit. (4) A model for predicting MR that incorporates N and C was proposed, and the reliability of this model was verified by comparing predicted values with experimental data. The predicted MR provides a reliable basis for pavement design and holds significant engineering value.
SN  - 1932-6203
ER  -