{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,13]],"date-time":"2026-01-13T15:40:33Z","timestamp":1768318833422,"version":"3.49.0"},"reference-count":24,"publisher":"SAGE Publications","issue":"10","license":[{"start":{"date-parts":[[2018,10,1]],"date-time":"2018-10-01T00:00:00Z","timestamp":1538352000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["51309207"],"award-info":[{"award-number":["51309207"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["51678547"],"award-info":[{"award-number":["51678547"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51578164"],"award-info":[{"award-number":["51578164"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Distributed Sensor Networks"],"published-print":{"date-parts":[[2018,10]]},"abstract":"<jats:p>In this article, the exponentially time-growing drainage boundary is introduced to study the one-dimensional consolidation problem of double-layered soil. First, the one-dimensional consolidation equations of soil underlying a time-dependent loading are established. Then, the analytical solution of excess pore water pressure and average consolidation degree is obtained by utilizing the method of separation of variables when the soil layer is separately undergone instantaneous load and single-stage load. The validity of the present solution is proven by the comparison with other existing analytical solution. Finally, the influence of soil properties and loading scheme on the consolidation behavior of soil is investigated in detail. The results indicate that, the present solution can be degraded to Xie\u2019s solution utilizing Terzaghi\u2019s drainage boundary by adjusting the interface parameter, that is to say, Xie\u2019s solution can be regarded as a special case of the present solution. The interface parameter has a significant influence on the excess pore water pressure of soil, and the larger interface parameter means the better drainage capacity of the soil layer.<\/jats:p>","DOI":"10.1177\/1550147718806716","type":"journal-article","created":{"date-parts":[[2018,10,17]],"date-time":"2018-10-17T09:14:05Z","timestamp":1539767645000},"page":"155014771880671","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":21,"title":["Analytical solution for one-dimensional consolidation of double-layered soil with exponentially time-growing drainage boundary"],"prefix":"10.1177","volume":"14","author":[{"given":"Wenbing","family":"Wu","sequence":"first","affiliation":[{"name":"Engineering Research Centre of Rock-Soil Drilling & Excavation and Protection, Ministry of Education, Faculty of Engineering, China University of Geosciences, Wuhan, China"},{"name":"Geotechnical Research Centre, Department of Civil and 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