An Uzawa-type augmented Lagrangian numerical manifold method for frictional discontinuities in rock masses

doi:10.1016/j.ijrmms.2021.104970

	An Uzawa-type augmented Lagrangian numerical manifold method for frictional discontinuities in rock masses
	Yang, Yongtao 1,3; Wu, Wenan 2; Zheng, Hong 2,3
刊名	INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES
	2021-12-01
卷号	148 页码:18
关键词	Numerical manifold method Rock masses Augmented Lagrange method Stick-slip condition Frictional discontinuities
ISSN号	1365-1609
DOI	10.1016/j.ijrmms.2021.104970
英文摘要	The problem of frictional discontinuities in rock masses is addressed computationally in the context of the NMM (numerical manifold method). The use of the NMM allows the use of nonmatching meshes to discretize the problem domain. To impose frictional contact conditions, the Uzawa-type ALM (augmented Lagrange method), which inherits the merits of the LMM (Lagrange multiplier method) and the PM (penalty method), is incorporated into the NMM, and a numerical model termed as Uzawa-type augmented Lagrangian numerical manifold method (UALNMM) is proposed. In the UALNMM, two layers of iterations are adopted, which are NewtonRaphson iterations for the inner layer and augmentation iterations for the outer layer. The implementation of the UALNMM is discussed in details. Four benchmark examples of frictional/frictionless contact problems and an example of rock slope with multiple frictional fractures are used to validate the accuracy and robustness of the UALNMM. The proposed UALNMM deserves further investigation for three dimensional rock mechanics problems with frictional contact.
资助项目	Youth Innovation Promotion Associ-ation CAS[2020327] ; National Natural Sci-ence Foundation of China[12072357]
WOS研究方向	Engineering ; Mining & Mineral Processing
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000720977000001
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/28268]
专题	中科院武汉岩土力学所
通讯作者	Wu, Wenan
作者单位	1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Beijing Univ Technol, Minist Educ, Key Lab Urban Secur & Disaster Engn, Beijing 100124, 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	Yang, Yongtao,Wu, Wenan,Zheng, Hong. An Uzawa-type augmented Lagrangian numerical manifold method for frictional discontinuities in rock masses[J]. INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES,2021,148:18.
APA	Yang, Yongtao,Wu, Wenan,&Zheng, Hong.(2021).An Uzawa-type augmented Lagrangian numerical manifold method for frictional discontinuities in rock masses.INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES,148,18.
MLA	Yang, Yongtao,et al."An Uzawa-type augmented Lagrangian numerical manifold method for frictional discontinuities in rock masses".INTERNATIONAL JOURNAL OF ROCK MECHANICS AND MINING SCIENCES 148(2021):18.