Evolution induced catastrophe in a nonlinear dynamical model of material failure

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	Evolution induced catastrophe in a nonlinear dynamical model of material failure
	Xia MF(夏蒙棼); Ke FJ(柯孚久); Wei YJ(魏宇杰); Bai YL(白以龙); Xia, MF (reprint author), Chinese Acad Sci, Inst Mech, Lab Nonlinear Mech Continuous Media, Beijing 100080, Peoples R China.
发表期刊	Nonlinear Dynamics
	2000
卷号	22 期号:2 页码:205-224
ISSN	0924-090X
摘要	In order to study the failure of disordered materials, the ensemble evolution of a nonlinear chain model was examined by using a stochastic slice sampling method. The following results were obtained. (1) Sample-specific behavior, i.e. evolutions are different from sample to sample in some cases under the same macroscopic conditions, is observed for various load-sharing rules except in the globally mean field theory. The evolution according to the cluster load-sharing rule, which reflects the interaction between broken clusters, cannot be predicted by a simple criterion from the initial damage pattern and even then is most complicated. (2) A binary failure probability, its transitional region, where globally stable (GS) modes and evolution-induced catastrophic (EIC) modes coexist, and the corresponding scaling laws are fundamental to the failure. There is a sensitive zone in the vicinity of the boundary between the GS and EIC regions in phase space, where a slight stochastic increment in damage can trigger a radical transition from GS to EIC. (3) The distribution of strength is obtained from the binary failure probability. This, like sample-specificity, originates from a trans-scale sensitivity linking meso-scopic and macroscopic phenomena. (4) Strong fluctuations in stress distribution different from that of GS modes may be assumed as a precursor of evolution-induced catastrophe (EIC).
学科领域	力学
收录类别	SCI
语种	英语
WOS记录号	WOS:000087601000005
关键词[WOS]	SENSITIVITY ; STRENGTH ; FRACTURE
WOS研究方向	Engineering ; Mechanics
WOS类目	Engineering, Mechanical ; Mechanics
引用统计	被引频次：14[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/16756
专题	力学所知识产出(1956-2008)
通讯作者	Xia, MF (reprint author), Chinese Acad Sci, Inst Mech, Lab Nonlinear Mech Continuous Media, Beijing 100080, Peoples R China.
推荐引用方式 GB/T 7714	Xia MF,Ke FJ,Wei YJ,et al. Evolution induced catastrophe in a nonlinear dynamical model of material failure[J]. Nonlinear Dynamics,2000,22,2,:205-224.
APA	夏蒙棼,柯孚久,魏宇杰,白以龙,&Xia, MF .(2000).Evolution induced catastrophe in a nonlinear dynamical model of material failure.Nonlinear Dynamics,22(2),205-224.
MLA	夏蒙棼,et al."Evolution induced catastrophe in a nonlinear dynamical model of material failure".Nonlinear Dynamics 22.2(2000):205-224.

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