Self-organized criticality of plastic shear bands in rocks
We show that the shear bands that appear during the pure shear numerical simulations of rocks with a non‐associated plastic flow rule form fractal networks. The system drives spontaneously into a state in which the length distribution of shear bands follows a power law (self‐organized criticality) w...
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| Veröffentlicht in: | Geophysical Research Letters 1994-09, Vol.21 (19), p.2143-2146 |
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| container_issue | 19 |
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| container_title | Geophysical Research Letters |
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| creator | Poliakov, A. N. B. Herrmann, H. J. |
| description | We show that the shear bands that appear during the pure shear numerical simulations of rocks with a non‐associated plastic flow rule form fractal networks. The system drives spontaneously into a state in which the length distribution of shear bands follows a power law (self‐organized criticality) with exponent 2.07. The distribution of local gradients in deviatoric strain rate has different scaling exponents for each moment, in particular the geometrical fractal dimension is 1.7. Samples of granodiorite sheared under high confining pressure from the Pyrenees are analyzed and their properties compared with the numerical results. |
| doi_str_mv | 10.1029/94GL02005 |
| format | Article |
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N. B.</creatorcontrib><creatorcontrib>Herrmann, H. J.</creatorcontrib><title>Self-organized criticality of plastic shear bands in rocks</title><title>Geophysical Research Letters</title><addtitle>Geophys. Res. Lett</addtitle><description>We show that the shear bands that appear during the pure shear numerical simulations of rocks with a non‐associated plastic flow rule form fractal networks. The system drives spontaneously into a state in which the length distribution of shear bands follows a power law (self‐organized criticality) with exponent 2.07. The distribution of local gradients in deviatoric strain rate has different scaling exponents for each moment, in particular the geometrical fractal dimension is 1.7. Samples of granodiorite sheared under high confining pressure from the Pyrenees are analyzed and their properties compared with the numerical results.</description><subject>Confining</subject><subject>Crystalline rocks</subject><subject>DEFORMATION</subject><subject>Earth sciences</subject><subject>Earth, ocean, space</subject><subject>ENVIRONMENTAL SCIENCES</subject><subject>Exact sciences and technology</subject><subject>Exponents</subject><subject>Fractal analysis</subject><subject>Fractals</subject><subject>Geophysics</subject><subject>Igneous and metamorphic rocks petrology, volcanic processes, magmas</subject><subject>MATERIALS SCIENCE</subject><subject>MATHEMATICAL MODELS</subject><subject>PRESSURE DEPENDENCE</subject><subject>RHEOLOGY</subject><subject>ROCK MECHANICS</subject><subject>ROCKS</subject><subject>Slip bands</subject><subject>Strain rate</subject><issn>0094-8276</issn><issn>1944-8007</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1994</creationdate><recordtype>article</recordtype><recordid>eNp1kE1LxDAQhoMouH4c_Ac9eNBDdfLVNN5EtAqLgq4IXkKaJhqt7Zp00fXXG63szdPMwPO8DC9CexiOMBB5LFk1BQLA19AES8byEkCsowmATDsRxSbaivEFAChQPEEnd7Z1eR-edOe_bJOZ4AdvdOuHZda7bN7qmO4sPlsdslp3Tcx8l4XevMYdtOF0G-3u39xG9xfns7PLfHpTXZ2dTnPNMINcUofBco11QTRztcTOgRCSFzXnjBaE1w3H0pS1rCl14NJhtWigkJY0mNJtlI25fXpFReMHa55N33XWDKrkjPCEHIzIPPTvCxsH9eajsW2rO9svosKcSEmw-E07HFET-hiDdWoe_JsOS4VB_VSoVhUmdv8vVsfUiQu6Mz6uBEoZpkQk7GjEPnxrl__nqep2KkoCSchHwcfBfq4EHV5VIajg6uG6UqyaPZYzUSig396Iioc</recordid><startdate>19940915</startdate><enddate>19940915</enddate><creator>Poliakov, A. 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N. B.</creatorcontrib><creatorcontrib>Herrmann, H. J.</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Aerospace Database</collection><collection>Materials Research Database</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>OSTI.GOV</collection><jtitle>Geophysical Research Letters</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Poliakov, A. N. B.</au><au>Herrmann, H. J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Self-organized criticality of plastic shear bands in rocks</atitle><jtitle>Geophysical Research Letters</jtitle><addtitle>Geophys. Res. Lett</addtitle><date>1994-09-15</date><risdate>1994</risdate><volume>21</volume><issue>19</issue><spage>2143</spage><epage>2146</epage><pages>2143-2146</pages><issn>0094-8276</issn><eissn>1944-8007</eissn><coden>GPRLAJ</coden><abstract>We show that the shear bands that appear during the pure shear numerical simulations of rocks with a non‐associated plastic flow rule form fractal networks. The system drives spontaneously into a state in which the length distribution of shear bands follows a power law (self‐organized criticality) with exponent 2.07. The distribution of local gradients in deviatoric strain rate has different scaling exponents for each moment, in particular the geometrical fractal dimension is 1.7. Samples of granodiorite sheared under high confining pressure from the Pyrenees are analyzed and their properties compared with the numerical results.</abstract><cop>Washington, DC</cop><pub>Blackwell Publishing Ltd</pub><doi>10.1029/94GL02005</doi><tpages>4</tpages></addata></record> |
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| ispartof | Geophysical Research Letters, 1994-09, Vol.21 (19), p.2143-2146 |
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| language | eng |
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| source | Access via Wiley Online Library |
| subjects | Confining Crystalline rocks DEFORMATION Earth sciences Earth, ocean, space ENVIRONMENTAL SCIENCES Exact sciences and technology Exponents Fractal analysis Fractals Geophysics Igneous and metamorphic rocks petrology, volcanic processes, magmas MATERIALS SCIENCE MATHEMATICAL MODELS PRESSURE DEPENDENCE RHEOLOGY ROCK MECHANICS ROCKS Slip bands Strain rate |
| title | Self-organized criticality of plastic shear bands in rocks |
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