Representing microstates of static granular matter in a stress phase space

González Tejada, Ignacio (2013). Representing microstates of static granular matter in a stress phase space. In: "7th International Discussion Meeting on Relaxations in Complex Systems", 21/07/2013 - 26/07/2013, Barcelona, España.

Description

Title: Representing microstates of static granular matter in a stress phase space
Author/s:
  • González Tejada, Ignacio
Item Type: Presentation at Congress or Conference (Article)
Event Title: 7th International Discussion Meeting on Relaxations in Complex Systems
Event Dates: 21/07/2013 - 26/07/2013
Event Location: Barcelona, España
Title of Book: 7th International Discussion Meeting on Relaxations in Complex Systems: New results, Directions and Opportunities; Book of Abstracts
Date: 2013
Subjects:
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Ingeniería y Morfología del Terreno
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

A stress phase space is proposed to compare the static packings of a granular system (microstates) that are compatible to a macrostate described by external stresses. The equivalent stress of each particle of a static packing can be obtained from the mechanical interaction forces, and the associated volume is given by the respective Voronoi cell. Therefore, particles can be located at different stress levels and grouped into categories or configurations, which are defined in base of the geometrical features of the local arrangement (in particular, of the number of forces that keep them force-balanced). They can be represented as points in a stress phase space. The nature of this space is analyzed in detail. The integration limits of the stress variables that avoid or limit tensile states and the capability of each configuration to represent specific stress states establish its main features. Furthermore, if some stress variables are used, instead of the usual components of the Cauchy stress tensor, then some symmetries can be found. Results obtained from molecular dynamics simulations are used to check this nature. Finally, some statistical ensembles are written in terms of the coordinates of this phase space. These require some assumptions that are made in base on continuum mechanics principles.

More information

Item ID: 29894
DC Identifier: http://oa.upm.es/29894/
OAI Identifier: oai:oa.upm.es:29894
Official URL: https://idmrcs7.upc.edu
Deposited by: Memoria Investigacion
Deposited on: 11 Sep 2014 11:08
Last Modified: 22 Apr 2016 00:15
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