A Nonlinear Constitutive Model for Disintegrated Carbonaceous Mudstone Based on Logarithmic Functions

To study the mechanical characteristics of the disintegrated carbonaceous mudstone (DCM), consolidated drained triaxial tests were conducted on the DCM with three degrees of compaction (i.e., 90%, 93%, and 96%). Then, the nonlinear constitutive model suitable for the DCM was established based on tes...

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Main Authors: Xiang Qiu, Jinhong Li, Huangbin Jiang, Hongyuan Fu, Shun Yang
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2021/6690169
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author Xiang Qiu
Jinhong Li
Huangbin Jiang
Hongyuan Fu
Shun Yang
author_facet Xiang Qiu
Jinhong Li
Huangbin Jiang
Hongyuan Fu
Shun Yang
author_sort Xiang Qiu
collection DOAJ
description To study the mechanical characteristics of the disintegrated carbonaceous mudstone (DCM), consolidated drained triaxial tests were conducted on the DCM with three degrees of compaction (i.e., 90%, 93%, and 96%). Then, the nonlinear constitutive model suitable for the DCM was established based on test results using a logarithmic function. The stress-strain characteristics of the DCM were analyzed. The results revealed that the axial strain of the DCM was positively correlated with the deviatoric stress and lateral strain. The slopes of deviatoric stress-axial strain curves decreased with the increase of axial strain and so did the slopes of the axial strain-volumetric strain curves. The strength of the DCM increased with the increase of the confining pressure and the degree of compaction. In addition, the axial strain induced by dilatancy was also positively correlated with the degree of compaction and the confining pressure. Furthermore, under triaxial loading conditions, the relationship between the stress and strain of the DCM can be expressed by a logarithmic function; based on this, a nonlinear constitutive model with ten material parameters was derived. In addition, the results of numerical tests using the model showed similar stress-strain characteristics of the DCM comparing with the triaxial tests. Hence, it indicated that the nonlinear constitutive model based on the logarithmic function can reflect the nonlinear stress-strain characteristics of the DCM.
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spelling doaj-art-329ca6d7424f4d52a2909414e696e89f2025-08-20T03:20:27ZengWileyAdvances in Civil Engineering1687-80861687-80942021-01-01202110.1155/2021/66901696690169A Nonlinear Constitutive Model for Disintegrated Carbonaceous Mudstone Based on Logarithmic FunctionsXiang Qiu0Jinhong Li1Huangbin Jiang2Hongyuan Fu3Shun Yang4School of Civil Engineering, Changsha University of Science and Technology, Changsha 410114, Hunan, ChinaSchool of Civil Engineering, Changsha University of Science and Technology, Changsha 410114, Hunan, ChinaSchool of Traffic and Transportation Engineering, Changsha University of Science and Technology, Changsha, Hunan 410114, ChinaSchool of Civil Engineering, Changsha University of Science and Technology, Changsha 410114, Hunan, ChinaSchool of Civil Engineering, Changsha University of Science and Technology, Changsha 410114, Hunan, ChinaTo study the mechanical characteristics of the disintegrated carbonaceous mudstone (DCM), consolidated drained triaxial tests were conducted on the DCM with three degrees of compaction (i.e., 90%, 93%, and 96%). Then, the nonlinear constitutive model suitable for the DCM was established based on test results using a logarithmic function. The stress-strain characteristics of the DCM were analyzed. The results revealed that the axial strain of the DCM was positively correlated with the deviatoric stress and lateral strain. The slopes of deviatoric stress-axial strain curves decreased with the increase of axial strain and so did the slopes of the axial strain-volumetric strain curves. The strength of the DCM increased with the increase of the confining pressure and the degree of compaction. In addition, the axial strain induced by dilatancy was also positively correlated with the degree of compaction and the confining pressure. Furthermore, under triaxial loading conditions, the relationship between the stress and strain of the DCM can be expressed by a logarithmic function; based on this, a nonlinear constitutive model with ten material parameters was derived. In addition, the results of numerical tests using the model showed similar stress-strain characteristics of the DCM comparing with the triaxial tests. Hence, it indicated that the nonlinear constitutive model based on the logarithmic function can reflect the nonlinear stress-strain characteristics of the DCM.http://dx.doi.org/10.1155/2021/6690169
spellingShingle Xiang Qiu
Jinhong Li
Huangbin Jiang
Hongyuan Fu
Shun Yang
A Nonlinear Constitutive Model for Disintegrated Carbonaceous Mudstone Based on Logarithmic Functions
Advances in Civil Engineering
title A Nonlinear Constitutive Model for Disintegrated Carbonaceous Mudstone Based on Logarithmic Functions
title_full A Nonlinear Constitutive Model for Disintegrated Carbonaceous Mudstone Based on Logarithmic Functions
title_fullStr A Nonlinear Constitutive Model for Disintegrated Carbonaceous Mudstone Based on Logarithmic Functions
title_full_unstemmed A Nonlinear Constitutive Model for Disintegrated Carbonaceous Mudstone Based on Logarithmic Functions
title_short A Nonlinear Constitutive Model for Disintegrated Carbonaceous Mudstone Based on Logarithmic Functions
title_sort nonlinear constitutive model for disintegrated carbonaceous mudstone based on logarithmic functions
url http://dx.doi.org/10.1155/2021/6690169
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