Summary
Two types of numerical experiment are performed in order to elucidate the nature of localization in a frictional material. In the first type, a continuum calculation is done with a strain-hardening constitutive model. Localization is shown to occur when the value of the strength parameter has a random distribution in space. In the second type of numerical experiment, the distinct element method is used to conduct a shear test on a simulated sample of 1000 disks. Localization is seen to occur: measurements are made of shear band thickness, distribution of particle spins, contact forces and stress components.
übersicht
Zwei Arten von numerischer Simulation zur AufklÄrung der Natur von Lokalisierungen in reibungsbehaftetem Material werden durchgespielt. Im ersten Fall wird eine kontinuumsmechanische Rechnung mit einem verfestigenden Materialverhalten vorgenommen. Es wird gezeigt, da\ Lokalisierung auftritt, wenn der Grenzreibwert rÄumlich eine Zufallsverteilung besitzt. Im zweiten Fall wird eine Methode mit diskreten Elementen benutzt und mit einer durch 1000 Scheiben simulierten Probe ein Scherversuch durchgeführt. Auch hier tritt Lokalisierung auf: Messungen der Scherzonendicke, der KontaktkrÄfte und der gemittelten Spannungen werden angegeben.
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Cundall, P.A. Numerical experiments on localization in frictional materials. Ing. arch 59, 148–159 (1989). https://doi.org/10.1007/BF00538368
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DOI: https://doi.org/10.1007/BF00538368