A mixed three-node triangular element with continuous nodal stress for fully dynamic consolidation of porous media

doi:10.1016/j.enganabound.2020.01.006

	A mixed three-node triangular element with continuous nodal stress for fully dynamic consolidation of porous media
	Wu, Wenan 1,3; Yang, Yongtao 3; Zheng, Hong 2
刊名	ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
	2020-04-01
卷号	113 页码:232-258
关键词	Continuous nodal stresses Dynamic consolidation Numerical manifold method Three-variable Biot model Wave propagation
ISSN号	0955-7997
DOI	10.1016/j.enganabound.2020.01.006
英文摘要	A mixed three-node triangular element with continuous nodal stresses (mixed T3-MINI-CNS) is presented for dynamics of porous media based on the three-variable u-w-p Biot model and the numerical manifold method (NMM). The displacement and velocity approximations are derived using the constrained and orthonormalized least-square (CO-LS) scheme, which possess continuous derivatives and Delta property at nodes. The pressure approximation takes linear piecewise interpolation. Relative to higher-order element, the mixed quadratic six-node triangle, mixed T3-MINI-CNS can model dynamic response of porous media more precisely with fewer unknowns, especially the short-term transient response. Moreover, mixed T3-MINI-CNS is immune from locking in both undrained and rigid skeleton limits and achieves more accurate pressure results than other characteristic locking-free elements. Based on NMM and u-w-p formulation, the most versatile three-node triangular mesh can always be used, avoiding difficulties in mesh generation. As fluid acceleration is involved, mixed T3-MINI-CNS is capable of totally predicting dynamic response of porous mixture, especially under rapid loading condition. In addition, reliability and precision of the time integration are assessed in terms of the energy balance condition. Through calculating benchmark problems, convergence, accuracy, and reliability of the mixed T3-MINI-CNS are thoroughly investigated and validated.
资助项目	National Natural Science Foundation of China[51609240] ; National Natural Science Foundation of China[11172313] ; National Natural Science Foundation of China[51538001]
WOS研究方向	Engineering ; Mathematics
语种	英语
出版者	ELSEVIER SCI LTD
WOS记录号	WOS:000518874200020
内容类型	期刊论文
源URL	[http://119.78.100.198/handle/2S6PX9GI/23692]
专题	中科院武汉岩土力学所
通讯作者	Yang, Yongtao
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, State Key Lab Geomech & Geotech Engn, Inst Rock & Soil Mech, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Wu, Wenan,Yang, Yongtao,Zheng, Hong. A mixed three-node triangular element with continuous nodal stress for fully dynamic consolidation of porous media[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,2020,113:232-258.
APA	Wu, Wenan,Yang, Yongtao,&Zheng, Hong.(2020).A mixed three-node triangular element with continuous nodal stress for fully dynamic consolidation of porous media.ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS,113,232-258.
MLA	Wu, Wenan,et al."A mixed three-node triangular element with continuous nodal stress for fully dynamic consolidation of porous media".ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 113(2020):232-258.