Mechanical effect of rotating non-spherical particles on failure in compression
Identifieur interne :
005097 ( PascalFrancis/Curation );
précédent :
005096;
suivant :
005098
Mechanical effect of rotating non-spherical particles on failure in compression
Auteurs : Arcady V. Dyskin [
Australie] ;
Elena Pasternak [
Australie]
Source :
-
Philosophical magazine : (2003. Print) [ 1478-6435 ] ; 2012.
RBID : Pascal:13-0023279
Descripteurs français
- Pascal (Inist)
- Particule sphérique,
Laminage,
Contrainte cisaillement,
Rigidité,
Contrainte compression,
Inclusion,
Module cisaillement,
Forme sphérique,
Cisaillement,
Fissure,
Instabilité,
Effet contrainte,
Rupture,
Minerai,
Roche,
6220F,
6220M.
English descriptors
- KwdEn :
- Compressive stress,
Cracks,
Inclusions,
Instability,
Ores,
Rocks,
Rolling,
Ruptures,
Shear,
Shear modulus,
Shear stress,
Spherical particle,
Spherical shape,
Stiffness,
Stress effects.
Abstract
When non-spherical particles (grains, blocks) in a rock or geomaterial under compression are sufficiently detached to enable rolling under shear stress the moment equilibrium dictates that further increase in displacement requires reduced shear stress. Thus the rolling non-spherical particle produces an effect of apparent negative stiffness whose value is proportional to the magnitude of the compressive stress. We model geomaterials with rolling particles at a macroscale as a matrix containing inclusions with negative shear modulus. We consider two extreme types of inclusions: spherical inclusions and shear cracks with negative stiffness shear springs inside. We show that there exists a critical concentration of inclusions at which the effective shear modulus abruptly becomes negative and the geomaterial loses stability. Furthermore, there exists a special value of negative shear modulus/stiffness of inclusions (and hence the magnitude of the compressive stress) at which the critical concentration is zero, such that the first rolling particle induces the global instability. This stress is of the order of the shear modulus the geomaterial exhibits at the advanced stage of fracturing when the particles are sufficiently detached to enable the rolling.
pA |
A01 | 01 | 1 | | @0 1478-6435 |
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A03 | | 1 | | @0 Philos. mag. : (2003, Print) |
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A05 | | | | @2 92 |
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A06 | | | | @2 28-30 |
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A08 | 01 | 1 | ENG | @1 Mechanical effect of rotating non-spherical particles on failure in compression |
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A09 | 01 | 1 | ENG | @1 Instabilities Across the Scales III |
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A11 | 01 | 1 | | @1 DYSKIN (Arcady V.) |
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A11 | 02 | 1 | | @1 PASTERNAK (Elena) |
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A12 | 01 | 1 | | @1 MÜLHAUS (Hans-Bernd) @9 ed. |
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A12 | 02 | 1 | | @1 BUSSO (Esteban P.) @9 ed. |
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A12 | 03 | 1 | | @1 SUIKER (Akke S. J.) @9 ed. |
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A12 | 04 | 1 | | @1 SLUYS (Lambertus J.) @9 ed. |
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A14 | 01 | | | @1 School of Civil and Resource Engineering, The University of Western Australia, 35 Stirling Highway @2 Crawley, WA 6009 @3 AUS @Z 1 aut. |
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A14 | 02 | | | @1 School of Mechanical and Chemical Engineering, The University of Western Australia, 35 Stirling Highway @2 Crawley, WA 6009 @3 AUS @Z 2 aut. |
---|
A15 | 01 | | | @1 Earth Systems Science Computational Centre (ESSCC), School of Earth Science, The University of Queensland @2 Brisbane, 4072 @3 AUS @Z 1 aut. |
---|
A15 | 02 | | | @1 Centre des Matériaux, Ecole des Mines de Paris, UMR CNRS 7633, B.P. 87 @2 91003 Evry @3 FRA @Z 2 aut. |
---|
A15 | 03 | | | @1 Department of the Built Environment, Eindhoven University of Technology, P.O. Box 513 @2 5600 MB Eindhoven @3 NLD @Z 3 aut. |
---|
A15 | 04 | | | @1 Faculty of Civil Engineering and Geosciences, Delft University of Technology, P.O. Box 5048 @2 2600 GA Delft @3 NLD @Z 4 aut. |
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A20 | | | | @1 3451-3473 |
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A21 | | | | @1 2012 |
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A23 | 01 | | | @0 ENG |
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A43 | 01 | | | @1 INIST @2 134A3 @5 354000502921690040 |
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A44 | | | | @0 0000 @1 © 2013 INIST-CNRS. All rights reserved. |
---|
A45 | | | | @0 90 ref. |
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A47 | 01 | 1 | | @0 13-0023279 |
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A60 | | | | @1 P @2 C |
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A61 | | | | @0 A |
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A64 | 01 | 1 | | @0 Philosophical magazine : (2003. Print) |
---|
A66 | 01 | | | @0 GBR |
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C01 | 01 | | ENG | @0 When non-spherical particles (grains, blocks) in a rock or geomaterial under compression are sufficiently detached to enable rolling under shear stress the moment equilibrium dictates that further increase in displacement requires reduced shear stress. Thus the rolling non-spherical particle produces an effect of apparent negative stiffness whose value is proportional to the magnitude of the compressive stress. We model geomaterials with rolling particles at a macroscale as a matrix containing inclusions with negative shear modulus. We consider two extreme types of inclusions: spherical inclusions and shear cracks with negative stiffness shear springs inside. We show that there exists a critical concentration of inclusions at which the effective shear modulus abruptly becomes negative and the geomaterial loses stability. Furthermore, there exists a special value of negative shear modulus/stiffness of inclusions (and hence the magnitude of the compressive stress) at which the critical concentration is zero, such that the first rolling particle induces the global instability. This stress is of the order of the shear modulus the geomaterial exhibits at the advanced stage of fracturing when the particles are sufficiently detached to enable the rolling. |
---|
C02 | 01 | 3 | | @0 001B60B20F |
---|
C02 | 02 | 3 | | @0 001B60B20M |
---|
C03 | 01 | X | FRE | @0 Particule sphérique @5 01 |
---|
C03 | 01 | X | ENG | @0 Spherical particle @5 01 |
---|
C03 | 01 | X | SPA | @0 Partícula esférica @5 01 |
---|
C03 | 02 | 3 | FRE | @0 Laminage @5 02 |
---|
C03 | 02 | 3 | ENG | @0 Rolling @5 02 |
---|
C03 | 03 | X | FRE | @0 Contrainte cisaillement @5 03 |
---|
C03 | 03 | X | ENG | @0 Shear stress @5 03 |
---|
C03 | 03 | X | SPA | @0 Tensión cizallamiento @5 03 |
---|
C03 | 04 | X | FRE | @0 Rigidité @5 04 |
---|
C03 | 04 | X | ENG | @0 Stiffness @5 04 |
---|
C03 | 04 | X | SPA | @0 Rigidez @5 04 |
---|
C03 | 05 | X | FRE | @0 Contrainte compression @5 05 |
---|
C03 | 05 | X | ENG | @0 Compressive stress @5 05 |
---|
C03 | 05 | X | SPA | @0 Tensión compresión @5 05 |
---|
C03 | 06 | 3 | FRE | @0 Inclusion @5 06 |
---|
C03 | 06 | 3 | ENG | @0 Inclusions @5 06 |
---|
C03 | 07 | 3 | FRE | @0 Module cisaillement @5 07 |
---|
C03 | 07 | 3 | ENG | @0 Shear modulus @5 07 |
---|
C03 | 08 | X | FRE | @0 Forme sphérique @5 08 |
---|
C03 | 08 | X | ENG | @0 Spherical shape @5 08 |
---|
C03 | 08 | X | SPA | @0 Forma esférica @5 08 |
---|
C03 | 09 | 3 | FRE | @0 Cisaillement @5 09 |
---|
C03 | 09 | 3 | ENG | @0 Shear @5 09 |
---|
C03 | 10 | 3 | FRE | @0 Fissure @5 10 |
---|
C03 | 10 | 3 | ENG | @0 Cracks @5 10 |
---|
C03 | 11 | 3 | FRE | @0 Instabilité @5 11 |
---|
C03 | 11 | 3 | ENG | @0 Instability @5 11 |
---|
C03 | 12 | 3 | FRE | @0 Effet contrainte @5 12 |
---|
C03 | 12 | 3 | ENG | @0 Stress effects @5 12 |
---|
C03 | 13 | 3 | FRE | @0 Rupture @5 13 |
---|
C03 | 13 | 3 | ENG | @0 Ruptures @5 13 |
---|
C03 | 14 | 3 | FRE | @0 Minerai @5 14 |
---|
C03 | 14 | 3 | ENG | @0 Ores @5 14 |
---|
C03 | 15 | 3 | FRE | @0 Roche @5 29 |
---|
C03 | 15 | 3 | ENG | @0 Rocks @5 29 |
---|
C03 | 16 | 3 | FRE | @0 6220F @4 INC @5 65 |
---|
C03 | 17 | 3 | FRE | @0 6220M @4 INC @5 66 |
---|
N21 | | | | @1 014 |
---|
|
pR |
A30 | 01 | 1 | ENG | @1 International Symposium on Instabilities Across the Scales III @3 Cairns AUS @4 2011-06-06 |
---|
|
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Le document en format XML
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<term>Ores</term>
<term>Rocks</term>
<term>Rolling</term>
<term>Ruptures</term>
<term>Shear</term>
<term>Shear modulus</term>
<term>Shear stress</term>
<term>Spherical particle</term>
<term>Spherical shape</term>
<term>Stiffness</term>
<term>Stress effects</term>
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<keywords scheme="Pascal" xml:lang="fr"><term>Particule sphérique</term>
<term>Laminage</term>
<term>Contrainte cisaillement</term>
<term>Rigidité</term>
<term>Contrainte compression</term>
<term>Inclusion</term>
<term>Module cisaillement</term>
<term>Forme sphérique</term>
<term>Cisaillement</term>
<term>Fissure</term>
<term>Instabilité</term>
<term>Effet contrainte</term>
<term>Rupture</term>
<term>Minerai</term>
<term>Roche</term>
<term>6220F</term>
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<front><div type="abstract" xml:lang="en">When non-spherical particles (grains, blocks) in a rock or geomaterial under compression are sufficiently detached to enable rolling under shear stress the moment equilibrium dictates that further increase in displacement requires reduced shear stress. Thus the rolling non-spherical particle produces an effect of apparent negative stiffness whose value is proportional to the magnitude of the compressive stress. We model geomaterials with rolling particles at a macroscale as a matrix containing inclusions with negative shear modulus. We consider two extreme types of inclusions: spherical inclusions and shear cracks with negative stiffness shear springs inside. We show that there exists a critical concentration of inclusions at which the effective shear modulus abruptly becomes negative and the geomaterial loses stability. Furthermore, there exists a special value of negative shear modulus/stiffness of inclusions (and hence the magnitude of the compressive stress) at which the critical concentration is zero, such that the first rolling particle induces the global instability. This stress is of the order of the shear modulus the geomaterial exhibits at the advanced stage of fracturing when the particles are sufficiently detached to enable the rolling.</div>
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<fA15 i1="01"><s1>Earth Systems Science Computational Centre (ESSCC), School of Earth Science, The University of Queensland</s1>
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<fA15 i1="02"><s1>Centre des Matériaux, Ecole des Mines de Paris, UMR CNRS 7633, B.P. 87</s1>
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<fC01 i1="01" l="ENG"><s0>When non-spherical particles (grains, blocks) in a rock or geomaterial under compression are sufficiently detached to enable rolling under shear stress the moment equilibrium dictates that further increase in displacement requires reduced shear stress. Thus the rolling non-spherical particle produces an effect of apparent negative stiffness whose value is proportional to the magnitude of the compressive stress. We model geomaterials with rolling particles at a macroscale as a matrix containing inclusions with negative shear modulus. We consider two extreme types of inclusions: spherical inclusions and shear cracks with negative stiffness shear springs inside. We show that there exists a critical concentration of inclusions at which the effective shear modulus abruptly becomes negative and the geomaterial loses stability. Furthermore, there exists a special value of negative shear modulus/stiffness of inclusions (and hence the magnitude of the compressive stress) at which the critical concentration is zero, such that the first rolling particle induces the global instability. This stress is of the order of the shear modulus the geomaterial exhibits at the advanced stage of fracturing when the particles are sufficiently detached to enable the rolling.</s0>
</fC01>
<fC02 i1="01" i2="3"><s0>001B60B20F</s0>
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<fC02 i1="02" i2="3"><s0>001B60B20M</s0>
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<fC03 i1="01" i2="X" l="FRE"><s0>Particule sphérique</s0>
<s5>01</s5>
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<fC03 i1="01" i2="X" l="ENG"><s0>Spherical particle</s0>
<s5>01</s5>
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<fC03 i1="01" i2="X" l="SPA"><s0>Partícula esférica</s0>
<s5>01</s5>
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<fC03 i1="02" i2="3" l="FRE"><s0>Laminage</s0>
<s5>02</s5>
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<fC03 i1="02" i2="3" l="ENG"><s0>Rolling</s0>
<s5>02</s5>
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<s5>03</s5>
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<fC03 i1="03" i2="X" l="ENG"><s0>Shear stress</s0>
<s5>03</s5>
</fC03>
<fC03 i1="03" i2="X" l="SPA"><s0>Tensión cizallamiento</s0>
<s5>03</s5>
</fC03>
<fC03 i1="04" i2="X" l="FRE"><s0>Rigidité</s0>
<s5>04</s5>
</fC03>
<fC03 i1="04" i2="X" l="ENG"><s0>Stiffness</s0>
<s5>04</s5>
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<fC03 i1="04" i2="X" l="SPA"><s0>Rigidez</s0>
<s5>04</s5>
</fC03>
<fC03 i1="05" i2="X" l="FRE"><s0>Contrainte compression</s0>
<s5>05</s5>
</fC03>
<fC03 i1="05" i2="X" l="ENG"><s0>Compressive stress</s0>
<s5>05</s5>
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<fC03 i1="05" i2="X" l="SPA"><s0>Tensión compresión</s0>
<s5>05</s5>
</fC03>
<fC03 i1="06" i2="3" l="FRE"><s0>Inclusion</s0>
<s5>06</s5>
</fC03>
<fC03 i1="06" i2="3" l="ENG"><s0>Inclusions</s0>
<s5>06</s5>
</fC03>
<fC03 i1="07" i2="3" l="FRE"><s0>Module cisaillement</s0>
<s5>07</s5>
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<fC03 i1="07" i2="3" l="ENG"><s0>Shear modulus</s0>
<s5>07</s5>
</fC03>
<fC03 i1="08" i2="X" l="FRE"><s0>Forme sphérique</s0>
<s5>08</s5>
</fC03>
<fC03 i1="08" i2="X" l="ENG"><s0>Spherical shape</s0>
<s5>08</s5>
</fC03>
<fC03 i1="08" i2="X" l="SPA"><s0>Forma esférica</s0>
<s5>08</s5>
</fC03>
<fC03 i1="09" i2="3" l="FRE"><s0>Cisaillement</s0>
<s5>09</s5>
</fC03>
<fC03 i1="09" i2="3" l="ENG"><s0>Shear</s0>
<s5>09</s5>
</fC03>
<fC03 i1="10" i2="3" l="FRE"><s0>Fissure</s0>
<s5>10</s5>
</fC03>
<fC03 i1="10" i2="3" l="ENG"><s0>Cracks</s0>
<s5>10</s5>
</fC03>
<fC03 i1="11" i2="3" l="FRE"><s0>Instabilité</s0>
<s5>11</s5>
</fC03>
<fC03 i1="11" i2="3" l="ENG"><s0>Instability</s0>
<s5>11</s5>
</fC03>
<fC03 i1="12" i2="3" l="FRE"><s0>Effet contrainte</s0>
<s5>12</s5>
</fC03>
<fC03 i1="12" i2="3" l="ENG"><s0>Stress effects</s0>
<s5>12</s5>
</fC03>
<fC03 i1="13" i2="3" l="FRE"><s0>Rupture</s0>
<s5>13</s5>
</fC03>
<fC03 i1="13" i2="3" l="ENG"><s0>Ruptures</s0>
<s5>13</s5>
</fC03>
<fC03 i1="14" i2="3" l="FRE"><s0>Minerai</s0>
<s5>14</s5>
</fC03>
<fC03 i1="14" i2="3" l="ENG"><s0>Ores</s0>
<s5>14</s5>
</fC03>
<fC03 i1="15" i2="3" l="FRE"><s0>Roche</s0>
<s5>29</s5>
</fC03>
<fC03 i1="15" i2="3" l="ENG"><s0>Rocks</s0>
<s5>29</s5>
</fC03>
<fC03 i1="16" i2="3" l="FRE"><s0>6220F</s0>
<s4>INC</s4>
<s5>65</s5>
</fC03>
<fC03 i1="17" i2="3" l="FRE"><s0>6220M</s0>
<s4>INC</s4>
<s5>66</s5>
</fC03>
<fN21><s1>014</s1>
</fN21>
</pA>
<pR><fA30 i1="01" i2="1" l="ENG"><s1>International Symposium on Instabilities Across the Scales III</s1>
<s3>Cairns AUS</s3>
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