| Magnitude and variation of the critical power law exponent and its physical controls | |
Zhou SJ; Hao SW(郝圣旺) ; Elsworth D
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| Source Publication | PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
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| 2018-11-15 | |
| Volume | 510Pages:552-557 |
| ISSN | 0378-4371 |
| Abstract | 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. |
| Keyword | Critical power law precursor Failure Exponent Magnitude |
| DOI | 10.1016/j.physa.2018.07.020 |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000442712000048 |
| WOS Keyword | BUNDLES PROBABILITY MODEL ; FORECAST METHOD FFM ; TIME-TO-FAILURE ; VOLCANIC-ERUPTIONS ; DISORDERED SOLIDS ; FIBROUS MATERIALS ; ROCK FRACTURE ; COMPRESSION ; STRENGTH ; EARTHQUAKES |
| WOS Research Area | Physics, Multidisciplinary |
| WOS Subject | Physics |
| Funding Organization | National Natural Science Foundation of China [11672258] ; National Basic Research Program of China [2013CB834100] ; Natural Science Foundation of Hebei Province, China [D2015203398] |
| Classification | 二类 |
| Ranking | 2 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/77866 |
| Collection | 非线性力学国家重点实验室 |
| Affiliation | 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 |
| 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. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| IrJ2018253.pdf（338KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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