A high-order numerical manifold method with continuous stress/strain field

doi:10.1016/j.apm.2019.09.034

	A high-order numerical manifold method with continuous stress/strain field
	Yang, Yongtao 2; Sun, Guanhua 2; Zheng, Hong 1
刊名	APPLIED MATHEMATICAL MODELLING
	2020-02-01
卷号	78 页码:576-600
关键词	Numerical manifold method (NMM) High-order NMM (HONMM) Stress intensity factor Continuous stress/strain field
ISSN号	0307-904X
DOI	10.1016/j.apm.2019.09.034
英文摘要	Recent attempts to solve solid mechanical problems using the numerical manifold method (NMM) are very fruitful. In the present work, a high-order numerical manifold method (HONMM) which is able to obtain continuous stress/strain field is proposed. By employing the same discretized model as the traditional NMM (TNMM), the proposed HONMM can yield much better accuracy without increasing the number of degrees of freedom (DOFs), and obtain continuous stress/strain field without recourse any stress smoothing operation in the post-processing stage. In addition, the "linear dependence" (LD) issue does not exist in the HONMM, and traditional equation solvers can be employed to solve the simultaneous algebraic equations. A number of numerical examples including four linear elastic continuous problems and five cracked problems are solved with the proposed method. The results show that the proposed HONMM performs much better than the TNMM. (C) 2019 Elsevier Inc. All rights reserved.
资助项目	National Natural Science Foundation of China[51609240]
WOS研究方向	Engineering ; Mathematics ; Mechanics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000502889100031
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/23218]
专题	中科院武汉岩土力学所
通讯作者	Yang, Yongtao
作者单位	1.Beijing Univ Technol, Key Lab Urban Secur & Disaster Engn, Minist Educ, Beijing 100124, 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	Yang, Yongtao,Sun, Guanhua,Zheng, Hong. A high-order numerical manifold method with continuous stress/strain field[J]. APPLIED MATHEMATICAL MODELLING,2020,78:576-600.
APA	Yang, Yongtao,Sun, Guanhua,&Zheng, Hong.(2020).A high-order numerical manifold method with continuous stress/strain field.APPLIED MATHEMATICAL MODELLING,78,576-600.
MLA	Yang, Yongtao,et al."A high-order numerical manifold method with continuous stress/strain field".APPLIED MATHEMATICAL MODELLING 78(2020):576-600.