Rheological Behavior of Rockmass Supported with Rockbolts Based on Viscoelastic Analysis Method

In this paper, we present the viscoelastic solutions for rockmass supported with discretely mechanically or frictionally coupled (DMFC) rockbolts to reveal the coupling rheological mechanisms. The analytical solutions are first acquired by applying the Laplace inverse transforms. The effect of diffe...

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Main Authors:	Gang Wang, Wei Han, Chuanzheng Liu, Ke Wang, Hengjie Luan
Format:	Article
Language:	English
Published:	MDPI AG 2018-10-01
Series:	Mathematics
Subjects:	Laplace transform rockmass viscoelastic solutions rheological model
Online Access:	http://www.mdpi.com/2227-7390/6/10/199

id	doaj-2bfd277908d444248a7072bd93a320fa
record_format	Article
spelling	doaj-2bfd277908d444248a7072bd93a320fa2020-11-25T01:32:41ZengMDPI AGMathematics2227-73902018-10-0161019910.3390/math6100199math6100199Rheological Behavior of Rockmass Supported with Rockbolts Based on Viscoelastic Analysis MethodGang Wang0Wei Han1Chuanzheng Liu2Ke Wang3Hengjie Luan4Shandong Provincial Key Laboratory of Civil Engineering Disaster Prevention and Mitigation, Shandong University of Science and Technology, Qingdao 266590, ChinaShandong Provincial Key Laboratory of Civil Engineering Disaster Prevention and Mitigation, Shandong University of Science and Technology, Qingdao 266590, ChinaSchool of Environment and Resource, Southwest University of Science and Technology, Mianyang 621000, ChinaShandong Provincial Key Laboratory of Civil Engineering Disaster Prevention and Mitigation, Shandong University of Science and Technology, Qingdao 266590, ChinaState Key Laboratory of Mining Disaster Prevention and Control Co-Founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, ChinaIn this paper, we present the viscoelastic solutions for rockmass supported with discretely mechanically or frictionally coupled (DMFC) rockbolts to reveal the coupling rheological mechanisms. The analytical solutions are first acquired by applying the Laplace inverse transforms. The effect of different viscosity coefficients and supporting parameters on the coupling model rheological behavior are then investigated. It is concluded that the variation of the rockbolt axial force or rock mass stress and displacement have a close relationship with rheological parameters and support parameters. In addition, the variations of mechanical states of rockbolts and rock mass are closely related to the rheological model.http://www.mdpi.com/2227-7390/6/10/199Laplace transformrockmassviscoelastic solutionsrheological model
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Gang Wang Wei Han Chuanzheng Liu Ke Wang Hengjie Luan
spellingShingle	Gang Wang Wei Han Chuanzheng Liu Ke Wang Hengjie Luan Rheological Behavior of Rockmass Supported with Rockbolts Based on Viscoelastic Analysis Method Mathematics Laplace transform rockmass viscoelastic solutions rheological model
author_facet	Gang Wang Wei Han Chuanzheng Liu Ke Wang Hengjie Luan
author_sort	Gang Wang
title	Rheological Behavior of Rockmass Supported with Rockbolts Based on Viscoelastic Analysis Method
title_short	Rheological Behavior of Rockmass Supported with Rockbolts Based on Viscoelastic Analysis Method
title_full	Rheological Behavior of Rockmass Supported with Rockbolts Based on Viscoelastic Analysis Method
title_fullStr	Rheological Behavior of Rockmass Supported with Rockbolts Based on Viscoelastic Analysis Method
title_full_unstemmed	Rheological Behavior of Rockmass Supported with Rockbolts Based on Viscoelastic Analysis Method
title_sort	rheological behavior of rockmass supported with rockbolts based on viscoelastic analysis method
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2018-10-01
description	In this paper, we present the viscoelastic solutions for rockmass supported with discretely mechanically or frictionally coupled (DMFC) rockbolts to reveal the coupling rheological mechanisms. The analytical solutions are first acquired by applying the Laplace inverse transforms. The effect of different viscosity coefficients and supporting parameters on the coupling model rheological behavior are then investigated. It is concluded that the variation of the rockbolt axial force or rock mass stress and displacement have a close relationship with rheological parameters and support parameters. In addition, the variations of mechanical states of rockbolts and rock mass are closely related to the rheological model.
topic	Laplace transform rockmass viscoelastic solutions rheological model
url	http://www.mdpi.com/2227-7390/6/10/199
work_keys_str_mv	AT gangwang rheologicalbehaviorofrockmasssupportedwithrockboltsbasedonviscoelasticanalysismethod AT weihan rheologicalbehaviorofrockmasssupportedwithrockboltsbasedonviscoelasticanalysismethod AT chuanzhengliu rheologicalbehaviorofrockmasssupportedwithrockboltsbasedonviscoelasticanalysismethod AT kewang rheologicalbehaviorofrockmasssupportedwithrockboltsbasedonviscoelasticanalysismethod AT hengjieluan rheologicalbehaviorofrockmasssupportedwithrockboltsbasedonviscoelasticanalysismethod
_version_	1725080542024564736

Rheological Behavior of Rockmass Supported with Rockbolts Based on Viscoelastic Analysis Method

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