Nonlinear Radial Consolidation Analysis of Soft Soil with Vertical Drains under Cyclic Loadings
This paper presents analytical solutions for nonlinear radial consolidation of soft soil with vertical drains under various cyclic loadings. By considering the nonlinear variations of compressibility and permeability expressed by the logarithm relations (e−log σ′ and e−log kh), the governing equatio...
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Format: | Article |
Language: | English |
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Wiley
2020-01-01
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Series: | Shock and Vibration |
Online Access: | http://dx.doi.org/10.1155/2020/8810973 |
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author | Pyol Kim Hyong-Sik Kim Yong-Gun Kim Chung-Hyok Paek Song-Nam Oh Sung-Ryol So Chang-Son Ok |
author_facet | Pyol Kim Hyong-Sik Kim Yong-Gun Kim Chung-Hyok Paek Song-Nam Oh Sung-Ryol So Chang-Son Ok |
author_sort | Pyol Kim |
collection | DOAJ |
description | This paper presents analytical solutions for nonlinear radial consolidation of soft soil with vertical drains under various cyclic loadings. By considering the nonlinear variations of compressibility and permeability expressed by the logarithm relations (e−log σ′ and e−log kh), the governing equation for nonlinear radial consolidation of the soil under equal strain and time-dependent loading is established. The analytical solutions are derived for nonlinear radial consolidation under haversine cyclic loading, trapezoidal cyclic loading, rectangular cyclic loading, and triangular cyclic loading. The presented solution is verified through the degeneration into the existing solutions for nonlinear radial consolidation under constant and ramp loadings, which shows the solution proposed in this paper is more general for nonlinear radial consolidation under time-dependent loading. The nonlinear radial consolidation behavior of the soil with vertical drains subjected to various cyclic loadings is investigated using the solutions developed. The proposed solutions can be effectively utilized in the analysis of nonlinear radial consolidation under various cyclic loadings. |
format | Article |
id | doaj-art-c8b86f3047e14acd9eb8f1c1726b8d59 |
institution | Kabale University |
issn | 1070-9622 1875-9203 |
language | English |
publishDate | 2020-01-01 |
publisher | Wiley |
record_format | Article |
series | Shock and Vibration |
spelling | doaj-art-c8b86f3047e14acd9eb8f1c1726b8d592025-02-03T01:01:52ZengWileyShock and Vibration1070-96221875-92032020-01-01202010.1155/2020/88109738810973Nonlinear Radial Consolidation Analysis of Soft Soil with Vertical Drains under Cyclic LoadingsPyol Kim0Hyong-Sik Kim1Yong-Gun Kim2Chung-Hyok Paek3Song-Nam Oh4Sung-Ryol So5Chang-Son Ok6Faculty of Geology, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaFaculty of Geology, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaFaculty of Global Environmental Science, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaFaculty of Geology, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaFaculty of Global Environmental Science, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaInstitute of Advanced Science, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaFaculty of Energy Science, Kim Il Sung University, Pyongyang, Democratic People’s Republic of KoreaThis paper presents analytical solutions for nonlinear radial consolidation of soft soil with vertical drains under various cyclic loadings. By considering the nonlinear variations of compressibility and permeability expressed by the logarithm relations (e−log σ′ and e−log kh), the governing equation for nonlinear radial consolidation of the soil under equal strain and time-dependent loading is established. The analytical solutions are derived for nonlinear radial consolidation under haversine cyclic loading, trapezoidal cyclic loading, rectangular cyclic loading, and triangular cyclic loading. The presented solution is verified through the degeneration into the existing solutions for nonlinear radial consolidation under constant and ramp loadings, which shows the solution proposed in this paper is more general for nonlinear radial consolidation under time-dependent loading. The nonlinear radial consolidation behavior of the soil with vertical drains subjected to various cyclic loadings is investigated using the solutions developed. The proposed solutions can be effectively utilized in the analysis of nonlinear radial consolidation under various cyclic loadings.http://dx.doi.org/10.1155/2020/8810973 |
spellingShingle | Pyol Kim Hyong-Sik Kim Yong-Gun Kim Chung-Hyok Paek Song-Nam Oh Sung-Ryol So Chang-Son Ok Nonlinear Radial Consolidation Analysis of Soft Soil with Vertical Drains under Cyclic Loadings Shock and Vibration |
title | Nonlinear Radial Consolidation Analysis of Soft Soil with Vertical Drains under Cyclic Loadings |
title_full | Nonlinear Radial Consolidation Analysis of Soft Soil with Vertical Drains under Cyclic Loadings |
title_fullStr | Nonlinear Radial Consolidation Analysis of Soft Soil with Vertical Drains under Cyclic Loadings |
title_full_unstemmed | Nonlinear Radial Consolidation Analysis of Soft Soil with Vertical Drains under Cyclic Loadings |
title_short | Nonlinear Radial Consolidation Analysis of Soft Soil with Vertical Drains under Cyclic Loadings |
title_sort | nonlinear radial consolidation analysis of soft soil with vertical drains under cyclic loadings |
url | http://dx.doi.org/10.1155/2020/8810973 |
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