Magnitude and variation of the critical power law exponent and its physical controls

doi:10.1016/j.physa.2018.07.020

CORC > 力学研究所 > 中国科学院力学研究所 > 非线性力学国家重点实验室

	Magnitude and variation of the critical power law exponent and its physical controls
	Zhou SJ ; Hao SW(郝圣旺); Elsworth D
刊名	PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
	2018-11-15
卷号	510 页码:552-557
关键词	Critical power law precursor Failure Exponent Magnitude
ISSN号	0378-4371
DOI	10.1016/j.physa.2018.07.020
英文摘要	We study the physical controls on the scatter of exponents in the critical power law relation that describes an acceleration in precursory signals of deformation (displacements) or seismicity (damage) in the vicinity of failure time. Based on the time-dependent fiber bundle model and equal load share (ELS) rule, we find that the critical power law exponents range from -0.5 to -1.0. And values of the critical power law exponents depends on a parameter rho, which defines the sensitivity of damage growth in a fiber to the local stress. Both the simulation results and theoretical analysis demonstrate that the critical power law precursor exponent -beta has a relationship -beta = -(1 - 1/rho) with rho. Thus, our results illustrate a physical mechanism of variation of the critical power law exponent that is determined by the degree of the local stress controlling the damage evolution of a fiber. (C) 2018 Elsevier B.V. All rights reserved.
分类号	二类
URL标识	查看原文
WOS关键词	BUNDLES PROBABILITY MODEL ; FORECAST METHOD FFM ; TIME-TO-FAILURE ; VOLCANIC-ERUPTIONS ; DISORDERED SOLIDS ; FIBROUS MATERIALS ; ROCK FRACTURE ; COMPRESSION ; STRENGTH ; EARTHQUAKES
WOS研究方向	Physics, Multidisciplinary
语种	英语
WOS记录号	WOS:000442712000048
资助机构	National Natural Science Foundation of China [11672258] ; National Basic Research Program of China [2013CB834100] ; Natural Science Foundation of Hebei Province, China [D2015203398]
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/77866]
专题	力学研究所_非线性力学国家重点实验室
作者单位	1.Yanshan Univ, Sch Civil Engn & Mech, Qinhuangdao, Peoples R China 2.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing, Peoples R China 3.Penn State Univ, Energy & Mineral Engn, Ctr G3, University Pk, PA 16802 USA 4.Penn State Univ, EMS Energy Inst, University Pk, PA 16802 USA
推荐引用方式 GB/T 7714	Zhou SJ,Hao SW,Elsworth D. Magnitude and variation of the critical power law exponent and its physical controls[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,2018,510:552-557.
APA	Zhou SJ,郝圣旺,&Elsworth D.(2018).Magnitude and variation of the critical power law exponent and its physical controls.PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS,510,552-557.
MLA	Zhou SJ,et al."Magnitude and variation of the critical power law exponent and its physical controls".PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS 510(2018):552-557.