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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Main Authors: Pyol Kim, Hyong-Sik Kim, Yong-Gun Kim, Chung-Hyok Paek, Song-Nam Oh, Sung-Ryol So, Chang-Son Ok
Format: Article
Language:English
Published: Wiley 2020-01-01
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.
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id doaj-art-c8b86f3047e14acd9eb8f1c1726b8d59
institution Kabale University
issn 1070-9622
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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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AT hyongsikkim nonlinearradialconsolidationanalysisofsoftsoilwithverticaldrainsundercyclicloadings
AT yonggunkim nonlinearradialconsolidationanalysisofsoftsoilwithverticaldrainsundercyclicloadings
AT chunghyokpaek nonlinearradialconsolidationanalysisofsoftsoilwithverticaldrainsundercyclicloadings
AT songnamoh nonlinearradialconsolidationanalysisofsoftsoilwithverticaldrainsundercyclicloadings
AT sungryolso nonlinearradialconsolidationanalysisofsoftsoilwithverticaldrainsundercyclicloadings
AT changsonok nonlinearradialconsolidationanalysisofsoftsoilwithverticaldrainsundercyclicloadings