{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,8]],"date-time":"2026-09-08T18:07:49Z","timestamp":1788890869019,"version":"build-2803163510"},"reference-count":53,"publisher":"Public Library of Science (PLoS)","issue":"9","license":[{"start":{"date-parts":[[2026,9,8]],"date-time":"2026-09-08T00:00:00Z","timestamp":1788825600000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Guiyang Municipal Science and Technology Programme","award":["Zhu Ke He Tong [2024]-1-12"],"award-info":[{"award-number":["Zhu Ke He Tong [2024]-1-12"]}]},{"name":"Guizhou Provincial Basic Research Programme (Natural Science) for Youth Guidance","award":["QN[2025] 246"],"award-info":[{"award-number":["QN[2025] 246"]}]},{"name":"High-level Innovative Talents in Guizhou Province","award":["[2025]202304"],"award-info":[{"award-number":["[2025]202304"]}]},{"name":"Guizhou Provincial Science and Technology Programme","award":["Qian Ke He Ji Chu-ZK[2023] Key Project 016"],"award-info":[{"award-number":["Qian Ke He Ji Chu-ZK[2023] Key Project 016"]}]}],"content-domain":{"domain":["www.plosone.org"],"crossmark-restriction":false},"short-container-title":["PLoS One"],"abstract":"<jats:p>\n                    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 (\n                    <jats:inline-formula id=\"pone.0341539.e001\">\n                      <jats:alternatives>\n                        <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pone.0341539.e001g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pone.0341539.e001\" xlink:type=\"simple\"\/>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M1\">\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mrow>\n                                <mml:mrow>\n                                  <mml:mi>\u03c3<\/mml:mi>\n                                <\/mml:mrow>\n                              <\/mml:mrow>\n                              <mml:mrow>\n                                <mml:mrow>\n                                  <mml:mtext>3<\/mml:mtext>\n                                <\/mml:mrow>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    ), cyclic dynamic stress (\n                    <jats:inline-formula id=\"pone.0341539.e002\">\n                      <jats:alternatives>\n                        <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pone.0341539.e002g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pone.0341539.e002\" xlink:type=\"simple\"\/>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M2\">\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mrow>\n                                <mml:mrow>\n                                  <mml:mi>\u03c3<\/mml:mi>\n                                <\/mml:mrow>\n                              <\/mml:mrow>\n                              <mml:mrow>\n                                <mml:mtext>d<\/mml:mtext>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    ), wet-dry cycles (N), and cement dosage (C) on the resilient modulus (M\n                    <jats:sub>R<\/jats:sub>\n                    ). It explores the relationship among the M\n                    <jats:sub>R<\/jats:sub>\n                    , static resilient modulus, and 7-day unconfined compressive strength (\n                    <jats:inline-formula id=\"pone.0341539.e003\">\n                      <jats:alternatives>\n                        <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pone.0341539.e003g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pone.0341539.e003\" xlink:type=\"simple\"\/>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M3\">\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mrow>\n                                <mml:mi>\u03c3<\/mml:mi>\n                              <\/mml:mrow>\n                              <mml:mrow>\n                                <mml:mrow>\n                                  <mml:mi>c<\/mml:mi>\n                                <\/mml:mrow>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    ), and proposes a predictive model for M\n                    <jats:sub>R<\/jats:sub>\n                    considering C and N. SEM and XRD methods are used to analyze the mechanism of the effect of wet-dry cycles on M\n                    <jats:sub>R<\/jats:sub>\n                    at the microstructural level. The results show that; (1) The M\n                    <jats:sub>R<\/jats:sub>\n                    of the PG mixture increases with the rise of\n                    <jats:inline-formula id=\"pone.0341539.e004\">\n                      <jats:alternatives>\n                        <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pone.0341539.e004g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pone.0341539.e004\" xlink:type=\"simple\"\/>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M4\">\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mrow>\n                                <mml:mrow>\n                                  <mml:mi>\u03c3<\/mml:mi>\n                                <\/mml:mrow>\n                              <\/mml:mrow>\n                              <mml:mrow>\n                                <mml:mrow>\n                                  <mml:mtext>3<\/mml:mtext>\n                                <\/mml:mrow>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    and decreases with the increase of\n                    <jats:inline-formula id=\"pone.0341539.e005\">\n                      <jats:alternatives>\n                        <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pone.0341539.e005g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pone.0341539.e005\" xlink:type=\"simple\"\/>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M5\">\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mrow>\n                                <mml:mrow>\n                                  <mml:mi>\u03c3<\/mml:mi>\n                                <\/mml:mrow>\n                              <\/mml:mrow>\n                              <mml:mrow>\n                                <mml:mtext>d<\/mml:mtext>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    , is positively correlated with C, and negatively correlated with the number of N, with the decay of M\n                    <jats:sub>R<\/jats:sub>\n                    mainly concentrated in the first four wet-dry cycles and gradually stabilizing afterwards, which is explained through SEM and XRD analysis. (2) By comparing M\n                    <jats:sub>R<\/jats:sub>\n                    and the static resilient modulus, it is found that the M\n                    <jats:sub>R<\/jats:sub>\n                    of PG specimens under wet-dry cycles is 1.25\u20131.30 times that of the static resilient modulus, this ratio can be used to make a preliminary estimation of the M\n                    <jats:sub>R<\/jats:sub>\n                    of C-stabilized PG materials. (3) The model relating\n                    <jats:inline-formula id=\"pone.0341539.e006\">\n                      <jats:alternatives>\n                        <jats:graphic xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" id=\"pone.0341539.e006g\" mimetype=\"image\" position=\"anchor\" xlink:href=\"info:doi\/10.1371\/journal.pone.0341539.e006\" xlink:type=\"simple\"\/>\n                        <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\" id=\"M6\">\n                          <mml:mrow>\n                            <mml:msub>\n                              <mml:mrow>\n                                <mml:mi>\u03c3<\/mml:mi>\n                              <\/mml:mrow>\n                              <mml:mrow>\n                                <mml:mrow>\n                                  <mml:mi>c<\/mml:mi>\n                                <\/mml:mrow>\n                              <\/mml:mrow>\n                            <\/mml:msub>\n                          <\/mml:mrow>\n                        <\/mml:math>\n                      <\/jats:alternatives>\n                    <\/jats:inline-formula>\n                    and M\n                    <jats:sub>R<\/jats:sub>\n                    follows a linear relationship, with correlation coefficients for the fit all exceeding 0.94, indicating a good fit. (4) A model for predicting M\n                    <jats:sub>R<\/jats:sub>\n                    that incorporates N and C was proposed, and the reliability of this model was verified by comparing predicted values with experimental data. The predicted M\n                    <jats:sub>R<\/jats:sub>\n                    provides a reliable basis for pavement design and holds significant engineering value.\n                  <\/jats:p>","DOI":"10.1371\/journal.pone.0341539","type":"journal-article","created":{"date-parts":[[2026,9,8]],"date-time":"2026-09-08T17:26:05Z","timestamp":1788888365000},"page":"e0341539","update-policy":"https:\/\/doi.org\/10.1371\/journal.pone.corrections_policy","source":"Crossref","is-referenced-by-count":0,"title":["Resilient modulus characteristics and model prediction of cement phosphogypsum under dry-wet cycling conditions"],"prefix":"10.1371","volume":"21","author":[{"given":"Wengang","family":"Gan","sequence":"first","affiliation":[{"name":"College of Civil Engineering, Guizhou University","place":["Guiyang, China"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2273-4489","authenticated-orcid":true,"given":"Kaisheng","family":"Chen","sequence":"additional","affiliation":[{"name":"College of Civil Engineering, Guizhou University","place":["Guiyang, China"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jinxiong","family":"Chen","sequence":"additional","affiliation":[{"name":"College of Civil Engineering, Guizhou University","place":["Guiyang, China"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yu\u2019ang","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Civil Engineering, Southwest Jiaotong University","place":["Chengdu, China"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shuang","family":"Deng","sequence":"additional","affiliation":[{"name":"School of Architectural Engineering, Kaili University","place":["Kaili, Guizhou, 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