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Structural Engineering and Mechanics Volume 55, Number 2, July25 2015 , pages 315-334 DOI: https://doi.org/10.12989/sem.2015.55.2.315 |
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Two scale modeling of behaviors of granular structure: size effects and displacement fluctuations of discrete particle assembly |
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Xihua Chu, Cun Yu, Chenxi Xiu and Yuanjie Xu
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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. | ||
| Key Words | ||
| granular materials; two-scale modeling; representative volume element; strain localization; displacement fluctuation | ||
| Address | ||
| Xihua Chu, Cun Yu, Chenxi Xiu and Yuanjie Xu: Department of Engineering Mechanics, Wuhan University, Wuhan 430072, China | ||