Analytical Solution of Stress in a Transversely Isotropic Floor Rock Mass under Distributed Loading in an Arbitrary Direction

Rock masses with a distinct structure may present a transversely isotropic character; thus, the stress state in a transversely isotropic elastic half-plane surface is an important way to assess the behavior of the interaction between the distributed loading and the surroundings. Most previous theore...

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Autores principales:	Dongliang Ji, Hongbao Zhao, Lei Wang, Hui Cheng, Jianfeng Xu
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	transversely isotropic elastic foundation distributed loading arbitrary direction Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
Acceso en línea:	https://doaj.org/article/5085efebebe040e58822266447d7800e
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spelling	oai:doaj.org-article:5085efebebe040e58822266447d7800e2021-11-11T15:25:06ZAnalytical Solution of Stress in a Transversely Isotropic Floor Rock Mass under Distributed Loading in an Arbitrary Direction10.3390/app1121104762076-3417https://doaj.org/article/5085efebebe040e58822266447d7800e2021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10476https://doaj.org/toc/2076-3417Rock masses with a distinct structure may present a transversely isotropic character; thus, the stress state in a transversely isotropic elastic half-plane surface is an important way to assess the behavior of the interaction between the distributed loading and the surroundings. Most previous theoretical analyses have considered a loading direction that is either vertical or horizontal, and the stress distribution that results from the effect of different loading directions remains unclear. In this paper, based on the transversely isotropic elastic half-plane surface theory, a stress solution that is applicable to distributed loading in any direction is proposed to further examine the loading effect. The consistency between the analytical solution and numerical simulations showed the effectiveness of the proposal that was introduced. Then, it was utilized to analyze the stress distribution rule by changing the Poisson’s ratio and Young’s modulus of the model. The effects of the formation dip angle on the stress state are also examined. The stress distribution, depending on the physical property parameters and relative angle, is predicted using an analytical solution, and the mechanisms associated with the transversely isotropic elastic half-plane surface subjected to the loading in any direction are clarified. Additionally, extensive analyses regarding this case study, with respect to the mechanical behavior associated with changes in the stress boundary, is available. Hence, the proposed analytical solution can more realistically account for the loading problem in many engineering practices.Dongliang JiHongbao ZhaoLei WangHui ChengJianfeng XuMDPI AGarticletransversely isotropicelastic foundationdistributed loadingarbitrary directionTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10476, p 10476 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	transversely isotropic elastic foundation distributed loading arbitrary direction Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999
spellingShingle	transversely isotropic elastic foundation distributed loading arbitrary direction Technology T Engineering (General). Civil engineering (General) TA1-2040 Biology (General) QH301-705.5 Physics QC1-999 Chemistry QD1-999 Dongliang Ji Hongbao Zhao Lei Wang Hui Cheng Jianfeng Xu Analytical Solution of Stress in a Transversely Isotropic Floor Rock Mass under Distributed Loading in an Arbitrary Direction
description	Rock masses with a distinct structure may present a transversely isotropic character; thus, the stress state in a transversely isotropic elastic half-plane surface is an important way to assess the behavior of the interaction between the distributed loading and the surroundings. Most previous theoretical analyses have considered a loading direction that is either vertical or horizontal, and the stress distribution that results from the effect of different loading directions remains unclear. In this paper, based on the transversely isotropic elastic half-plane surface theory, a stress solution that is applicable to distributed loading in any direction is proposed to further examine the loading effect. The consistency between the analytical solution and numerical simulations showed the effectiveness of the proposal that was introduced. Then, it was utilized to analyze the stress distribution rule by changing the Poisson’s ratio and Young’s modulus of the model. The effects of the formation dip angle on the stress state are also examined. The stress distribution, depending on the physical property parameters and relative angle, is predicted using an analytical solution, and the mechanisms associated with the transversely isotropic elastic half-plane surface subjected to the loading in any direction are clarified. Additionally, extensive analyses regarding this case study, with respect to the mechanical behavior associated with changes in the stress boundary, is available. Hence, the proposed analytical solution can more realistically account for the loading problem in many engineering practices.
format	article
author	Dongliang Ji Hongbao Zhao Lei Wang Hui Cheng Jianfeng Xu
author_facet	Dongliang Ji Hongbao Zhao Lei Wang Hui Cheng Jianfeng Xu
author_sort	Dongliang Ji
title	Analytical Solution of Stress in a Transversely Isotropic Floor Rock Mass under Distributed Loading in an Arbitrary Direction
title_short	Analytical Solution of Stress in a Transversely Isotropic Floor Rock Mass under Distributed Loading in an Arbitrary Direction
title_full	Analytical Solution of Stress in a Transversely Isotropic Floor Rock Mass under Distributed Loading in an Arbitrary Direction
title_fullStr	Analytical Solution of Stress in a Transversely Isotropic Floor Rock Mass under Distributed Loading in an Arbitrary Direction
title_full_unstemmed	Analytical Solution of Stress in a Transversely Isotropic Floor Rock Mass under Distributed Loading in an Arbitrary Direction
title_sort	analytical solution of stress in a transversely isotropic floor rock mass under distributed loading in an arbitrary direction
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/5085efebebe040e58822266447d7800e
work_keys_str_mv	AT dongliangji analyticalsolutionofstressinatransverselyisotropicfloorrockmassunderdistributedloadinginanarbitrarydirection AT hongbaozhao analyticalsolutionofstressinatransverselyisotropicfloorrockmassunderdistributedloadinginanarbitrarydirection AT leiwang analyticalsolutionofstressinatransverselyisotropicfloorrockmassunderdistributedloadinginanarbitrarydirection AT huicheng analyticalsolutionofstressinatransverselyisotropicfloorrockmassunderdistributedloadinginanarbitrarydirection AT jianfengxu analyticalsolutionofstressinatransverselyisotropicfloorrockmassunderdistributedloadinginanarbitrarydirection
_version_	1718435365169135616

Analytical Solution of Stress in a Transversely Isotropic Floor Rock Mass under Distributed Loading in an Arbitrary Direction

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