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Simulating deformations of granular solids under shear

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  • Tillemans, Hans-Jürgen
  • Herrmann, Hans J.

Abstract

We present MD simulations of shear cells of a densily packed array of polygonal grains in two dimensions. We study the dependence of the shear force on the shear velocity. Generally shear hardening is observed. The dependence of the dilatancy on the shear velocity is measured. We also apply the method to simulate two tectonic plates moving under shear. We find a Gutenberg-Richter-like law with a b-value of (1.02 ± 0.06) in good agreement with geophysical measurements. Shear bands of widths dependent on the confining pressure and the shear velocity are observed.

Suggested Citation

  • Tillemans, Hans-Jürgen & Herrmann, Hans J., 1995. "Simulating deformations of granular solids under shear," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 217(3), pages 261-288.
    • Handle: RePEc:eee:phsmap:v:217:y:1995:i:3:p:261-288
    DOI: 10.1016/0378-4371(95)00111-J
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    1. Newland, Carlos & San Segundo, María Jesús, 1993. "Human capital and other determinants in the life cycle of the price of a slave: The case of spanish america in the eighteenth century," UC3M Working papers. Economics 2897, Universidad Carlos III de Madrid. Departamento de Economía.
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    Cited by:

    1. El Cheikh, Khadija & Rémond, Sébastien & Pizette, Patrick & Vanhove, Yannick & Djelal, Chafika, 2016. "Discrete Element study of granular material — Bumpy wall interface behavior," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 526-539.

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