• variational asymptotic micromechanics modeling of heterogeneous porous materials

    نویسندگان :
    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/01/01
    • تاریخ انتشار در تی پی بین: 1392/01/01
    • تعداد بازدید: 757
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     this paper presents a numerical technique to predict the effective elastic properties of heterogeneous fluid-filled porous media where the heterogeneity may result from dissimilar solid and fluid phase properties or due to mismatch in porous microstructure. the technique is based on the variational asymptotic method of homogenization where finite element method is employed for discretization. biot’s theory of poroelasticity is used to describe porous media where both solid and fluid phase motions (u − u formulation) are considered with associated strain measures. the method estimates the poroelastic constitutive law in single analysis which makes it very efficient compared to other finite element based homogenization techniques. the method is also general enough to compute all 28 elements of an anisotropic constitutive matrix. other than estimating the effective properties the micro-stress/strain distribution is also obtained at no additional cost. the method is successfully applied for homogenization of porous media, fluid-filled cavity and finally for effective property estimation of bone lamella. in absence of any other direct method of porous media homogenization, the present technique is compared with classical homogenization methods with fluid approximated as solid of very high poisson’s ratio. the suitability of this approximation and various other alternatives are also discussed. it is shown that the present homogenization method can be an efficient tool for bone property estimation where fluid-filled porous hierarchical micro-/nanostructure must be respected at all steps.

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