Subspace tracking method for non-smooth yield surface

doi:10.1016/j.camwa.2021.03.012

	Subspace tracking method for non-smooth yield surface
	Li, Chunguang 2; Li, Cuihua 1,2; Zheng, Hong 3
刊名	COMPUTERS & MATHEMATICS WITH APPLICATIONS
	2021-05-15
卷号	90 页码:125-134
关键词	Elastoplasticity Non-smooth yield surface Subspace tracking method Complementarity function Mohr-Coulomb
ISSN号	0898-1221
DOI	10.1016/j.camwa.2021.03.012
英文摘要	The corners of non-smooth yield surfaces, e.g., Mohr-Coulomb or Hoek-Brown criteria, often cause problems in numerical applications due to the gradient discontinuities, which boil down to the abrupt order interchange of two principal stresses. Nevertheless, when the stress components cross the corners, the principal stresses, which are smoothly dependent on the components of stress tensor, can be smoothly tracked through subspace tracking method. Thus, all the six auxiliary yield functions based on Koiter's rule will be smooth functions of components of stress. Finally, the corner problems are eliminated. As an application, three boundary-value problems (a 3D one-element, a 2D slope with a soft band, and a 3D soil slope) are analyzed to investigate the performance of the proposed method in a non-linear finite element simulation.
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000642208500013
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/27216]
专题	中科院武汉岩土力学所
通讯作者	Li, Chunguang
作者单位	1.Wuchang Univ Technol, Sch Urban Construct, Wuhan 430223, Peoples R China 2.Chinese Acad Sci, Inst Rock & Soil Mech, State Key Lab Geomech & Geotech Engn, Wuhan 430071, Peoples R China 3.Beijing Univ Technol, Minist Educ, Key Lab Urban Secur & Disaster Engn, Beijing 100124, Peoples R China
推荐引用方式 GB/T 7714	Li, Chunguang,Li, Cuihua,Zheng, Hong. Subspace tracking method for non-smooth yield surface[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS,2021,90:125-134.
APA	Li, Chunguang,Li, Cuihua,&Zheng, Hong.(2021).Subspace tracking method for non-smooth yield surface.COMPUTERS & MATHEMATICS WITH APPLICATIONS,90,125-134.
MLA	Li, Chunguang,et al."Subspace tracking method for non-smooth yield surface".COMPUTERS & MATHEMATICS WITH APPLICATIONS 90(2021):125-134.