Analytical solutions for the circular stress transducer embedded in rheological rock mass

doi:10.1016/j.apm.2020.01.034

	Analytical solutions for the circular stress transducer embedded in rheological rock mass
	Zhu, Yuanguang 3; Liu, Quansheng 2; Liu, Xuewei 3; Yang, Zhanbiao 1
刊名	APPLIED MATHEMATICAL MODELLING
	2020-05-01
卷号	81 页码:538-558
关键词	In-situ stress Rheological stress recovery Transducer Soft rock Coalmine
ISSN号	0307-904X
DOI	10.1016/j.apm.2020.01.034
英文摘要	The rheological stress recovery (RSR) method was proposed to measure the in-situ stress of rock mass with time-dependent property by drilling a hole and embedding transducers into it. To solve the stress distribution on the transducer, a viscoelastic axisymmetric plane model was firstly built considering an arbitrary stress boundary condition. The analytical solution was developed by dividing the stress boundary conditions into axisymmetric and anti-axisymmetric combining with Laplace transformation technique. The explicit stress expressions on interfaces of rock-grout and grout-transducer was obtained using Burgers and Boltzmann viscoelastic models, respectively. Furthermore, the variations of transducer surface final stress, which is related to rheological time, geometric and mechanical properties of rock mass, grout parameter, and transducer materials, was proposed for calculating the measured stress by RSR method. For both of Burgers and Boltzmann viscoelastic model, final stress increases as elastic modulus ratio increases when elastic modulus ratio under 20, and the final stress could be ignored when diameter ratio is over 1.4. The rheological time increases with increasing of viscosity coefficient and the modulus ratio, but decreases as the shear modulus increases. The results in here provide a simple method for stress analyzing and have great value for understanding the relationship between the initial stress of rock mass and the measured stress for the RSR method. (C) 2020 Elsevier Inc. All rights reserved.
资助项目	National Natural Science Foundation of China[51874275] ; Natural Science Foundation of Hubei Province[2019CFB535]
WOS研究方向	Engineering ; Mathematics ; Mechanics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000521509900033
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/23780]
专题	中科院武汉岩土力学所
通讯作者	Zhu, Yuanguang
作者单位	1.China Pingmei Shenma Grp, State Key Lab Coking Coal Resources Dev & Compreh, Pingdingshan 467099, Henan, Peoples R China 2.Wuhan Univ, Sch Civil Engn, Key Lab Safety Geotech & Struct Engn Hubei Prov, Wuhan 430072, Hubei, Peoples R China 3.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Zhu, Yuanguang,Liu, Quansheng,Liu, Xuewei,et al. Analytical solutions for the circular stress transducer embedded in rheological rock mass[J]. APPLIED MATHEMATICAL MODELLING,2020,81:538-558.
APA	Zhu, Yuanguang,Liu, Quansheng,Liu, Xuewei,&Yang, Zhanbiao.(2020).Analytical solutions for the circular stress transducer embedded in rheological rock mass.APPLIED MATHEMATICAL MODELLING,81,538-558.
MLA	Zhu, Yuanguang,et al."Analytical solutions for the circular stress transducer embedded in rheological rock mass".APPLIED MATHEMATICAL MODELLING 81(2020):538-558.