Structural Engineering and Mechanics

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Two scale modeling of behaviors of granular structure: size effects and displacement fluctuations of discrete particle assembly

  • Chu, Xihua (Department of Engineering Mechanics, Wuhan University) ;
  • Yu, Cun (Department of Engineering Mechanics, Wuhan University) ;
  • Xiu, Chenxi (Department of Engineering Mechanics, Wuhan University) ;
  • Xu, Yuanjie (Department of Engineering Mechanics, Wuhan University)
  • Received : 2014.10.23
  • Accepted : 2015.06.15
  • Published : 2015.07.25
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Abstract

This study's primary aim is to check the existence of a representative volume element for granular materials and determine the link between the properties (responses) of macro structures and the size of the discrete particle assembly used to represent a constitutive relation in a two-scale model. In our two-scale method the boundary value problem on the macro level was solved using finite element method, based on the Cosserat continuum; the macro stresses and modulus were obtained using a solution of discrete particle assemblies at certain element integration points. Meanwhile, discrete particle assemblies were solved using discrete element method under boundary conditions provided by the macro deformation. Our investigations focused largely on the size effects of the discrete particle assembly and the radius of the particle on macro properties, such as deformation stiffness, bearing capacity and the residual strength of the granular structure. According to the numerical results, we suggest fitting formulas linking the values of different macro properties (responses) and size of discrete particle assemblies. In addition, this study also concerns the configuration and displacement fluctuation of discrete particle assemblies on the micro level, accompanied with the evolution of bearing capacity and deformation on the macro level.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

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