Statistical mechanics approaches to granular media: between micromechanics and macromechanics

González Tejada, Ignacio y Jimenez Rodriguez, Rafael (2013). Statistical mechanics approaches to granular media: between micromechanics and macromechanics. En: "Congress on Numerical Methods in Engineering, CMN 2013", 25/06/2013 - 28/06/2013, Bilbao, Spain.

Descripción

Título: Statistical mechanics approaches to granular media: between micromechanics and macromechanics
Autor/es:
  • González Tejada, Ignacio
  • Jimenez Rodriguez, Rafael
Tipo de Documento: Ponencia en Congreso o Jornada (Artículo)
Título del Evento: Congress on Numerical Methods in Engineering, CMN 2013
Fechas del Evento: 25/06/2013 - 28/06/2013
Lugar del Evento: Bilbao, Spain
Título del Libro: Proceedings of the Congress on Numerical Methods in Engineering, CMN 2013
Fecha: 2013
Materias:
Escuela: E.T.S.I. Caminos, Canales y Puertos (UPM)
Departamento: Ingeniería y Morfología del Terreno
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

The mechanical behavior of granular materials has been traditionally approached through two theoretical and computational frameworks: macromechanics and micromechanics. Macromechanics focuses on continuum based models. In consequence it is assumed that the matter in the granular material is homogeneous and continuously distributed over its volume so that the smallest element cut from the body possesses the same physical properties as the body. In particular, it has some equivalent mechanical properties, represented by complex and non-linear constitutive relationships. Engineering problems are usually solved using computational methods such as FEM or FDM. On the other hand, micromechanics is the analysis of heterogeneous materials on the level of their individual constituents. In granular materials, if the properties of particles are known, a micromechanical approach can lead to a predictive response of the whole heterogeneous material. Two classes of numerical techniques can be differentiated: computational micromechanics, which consists on applying continuum mechanics on each of the phases of a representative volume element and then solving numerically the equations, and atomistic methods (DEM), which consist on applying rigid body dynamics together with interaction potentials to the particles. Statistical mechanics approaches arise between micro and macromechanics. It tries to state which the expected macroscopic properties of a granular system are, by starting from a micromechanical analysis of the features of the particles and the interactions. The main objective of this paper is to introduce this approach.

Más información

ID de Registro: 29764
Identificador DC: http://oa.upm.es/29764/
Identificador OAI: oai:oa.upm.es:29764
URL Oficial: http://congress.cimne.com/metnum2013/eng/default.asp
Depositado por: Memoria Investigacion
Depositado el: 25 Sep 2014 11:42
Ultima Modificación: 25 Sep 2014 11:42
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