Incremental-Secant Modulus Iteration Scheme and Stress Recovery for Simulating Cracking Process in Quasi-Brittle Materials Using XFEM

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	Incremental-Secant Modulus Iteration Scheme and Stress Recovery for Simulating Cracking Process in Quasi-Brittle Materials Using XFEM
	Xiao QZ; Karihaloo BL; Liu XY(刘晓宇)
刊名	International Journal for Numerical Methods in Engineering
	2007
通讯作者邮箱	karihaloob@cardiff.ac.uk
卷号	69 期号:12 页码:2606-2635
ISSN号	0029-5981
通讯作者	Karihaloo, BL (reprint author), Univ Cardiff Wales, Sch Engn, Queens Bldg,Newport Rd,Parade, Cardiff CF24 3AA, Wales.
中文摘要	In this paper, an incremental-secant modulus iteration scheme using the extended/generalized finite element method (XFEM) is proposed for the simulation of cracking process in quasi-brittle materials described by cohesive crack models whose softening law is composed of linear segments. The leading term of the displacement asymptotic field at the tip of a cohesive crack (which ensures a displacement discontinuity normal to the cohesive crack face) is used as the enrichment function in the XFEM. The opening component of the same field is also used as the initial guess opening profile of a newly extended cohesive segment in the simulation of cohesive crack propagation. A statically admissible stress recovery (SAR) technique is extended to cohesive cracks with special treatment of non-homogeneous boundary tractions. The application of locally normalized co-ordinates to eliminate possible ill-conditioning of SAR, and the influence of different weight functions on SAR are also studied. Several mode I cracking problems in quasi-brittle materials with linear and bilinear softening laws are analysed to demonstrate the usefulness of the proposed scheme, as well as the characteristics of global responses and local fields obtained numerically by the XFEM.
学科主题	力学
类目[WOS]	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
研究领域[WOS]	Engineering ; Mathematics
收录类别	SCI
语种	英语
WOS记录号	WOS:000245146200007
公开日期	2007-06-15
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/15707]
专题	力学研究所_力学所知识产出(1956-2008)
推荐引用方式 GB/T 7714	Xiao QZ,Karihaloo BL,Liu XY. Incremental-Secant Modulus Iteration Scheme and Stress Recovery for Simulating Cracking Process in Quasi-Brittle Materials Using XFEM[J]. International Journal for Numerical Methods in Engineering,2007,69(12):2606-2635.
APA	Xiao QZ,Karihaloo BL,&刘晓宇.(2007).Incremental-Secant Modulus Iteration Scheme and Stress Recovery for Simulating Cracking Process in Quasi-Brittle Materials Using XFEM.International Journal for Numerical Methods in Engineering,69(12),2606-2635.
MLA	Xiao QZ,et al."Incremental-Secant Modulus Iteration Scheme and Stress Recovery for Simulating Cracking Process in Quasi-Brittle Materials Using XFEM".International Journal for Numerical Methods in Engineering 69.12(2007):2606-2635.