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Magnitude and variation of the critical power law exponent and its physical controls
Zhou SJ; Hao SW(郝圣旺); Elsworth D
Source PublicationPHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
2018-11-15
Volume510Pages:552-557
ISSN0378-4371
AbstractWe 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.
KeywordCritical power law precursor Failure Exponent Magnitude
DOI10.1016/j.physa.2018.07.020
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000442712000048
WOS KeywordBUNDLES PROBABILITY MODEL ; FORECAST METHOD FFM ; TIME-TO-FAILURE ; VOLCANIC-ERUPTIONS ; DISORDERED SOLIDS ; FIBROUS MATERIALS ; ROCK FRACTURE ; COMPRESSION ; STRENGTH ; EARTHQUAKES
WOS Research AreaPhysics, Multidisciplinary
WOS SubjectPhysics
Funding OrganizationNational Natural Science Foundation of China [11672258] ; National Basic Research Program of China [2013CB834100] ; Natural Science Foundation of Hebei Province, China [D2015203398]
Classification二类
Ranking2
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Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/77866
Collection非线性力学国家重点实验室
Affiliation1.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
Recommended Citation
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.
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