Elastoplastic analytical solution of circular ring expansion problem for bi-modulus material based on SMP yield criterion

doi:10.1007/s10064-021-02501-1

	Elastoplastic analytical solution of circular ring expansion problem for bi-modulus material based on SMP yield criterion
	Wang, Tianmin 1,2; Ye, Jianhong 2
刊名	BULLETIN OF ENGINEERING GEOLOGY AND THE ENVIRONMENT
	2022
卷号	81 期号:1 页码:12
关键词	Circular ring expansion problem Bi-modulus theory SMP yield criterion Mohr-Coulomb yield criterion Elastoplastic analytical solution Tensile elastic modulus
ISSN号	1435-9529
DOI	10.1007/s10064-021-02501-1
英文摘要	It is known that there are great types of materials, especially the geotechnical materials, e.g., rock, soil, with obvious differences in elastic modulus and Poisson's ratio under tension and compression in nature. However, the current investigation for this type of material is still not sufficient. In this study, the elastoplastic analytical solutions of stress and displacement for the circular ring expansion problem are derived based on the SMP yield criterion and bi-modulus theory. The effect of the bi-modulus characteristics of materials on the distribution of stress, strain, and displacement, and the effect of friction angle on the critical internal pressure P-c and the ultimate internal pressure P-u in the expansive circular ring are then further investigated. It is shown by the analytical results that the distribution pattern and the magnitude of stress, strain, and displacement in the expansive circular ring, as well as the critical internal pressure P-c, the ultimate internal pressure P-u applied on the internal radius of the circular ring are all significantly affected by the modulus ratio, i.e., R = E-t/E-c = nu(t)/nu(c). (E-c and E-t are respectively the elastic modulus under compression and tension; nu(c) and nu(t) are respectively the Poisson ratios under compression and tension). Based on the proposed analytical solution, the effect of the SMP yield criterion and Mohr-Coulomb yield criterion on the stress in the plastic zone in the circular ring is compared. It is found that the stress in the plastic zone in the circular ring is overestimated by the Mohr-Coulomb yield criterion.
资助项目	National Natural Science Foundation of China[51879257]
WOS研究方向	Engineering ; Geology
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000729114100002
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/30999]
专题	中科院武汉岩土力学所
通讯作者	Ye, Jianhong
作者单位	1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Wang, Tianmin,Ye, Jianhong. Elastoplastic analytical solution of circular ring expansion problem for bi-modulus material based on SMP yield criterion[J]. BULLETIN OF ENGINEERING GEOLOGY AND THE ENVIRONMENT,2022,81(1):12.
APA	Wang, Tianmin,&Ye, Jianhong.(2022).Elastoplastic analytical solution of circular ring expansion problem for bi-modulus material based on SMP yield criterion.BULLETIN OF ENGINEERING GEOLOGY AND THE ENVIRONMENT,81(1),12.
MLA	Wang, Tianmin,et al."Elastoplastic analytical solution of circular ring expansion problem for bi-modulus material based on SMP yield criterion".BULLETIN OF ENGINEERING GEOLOGY AND THE ENVIRONMENT 81.1(2022):12.