• homogenizing the acoustics of cancellous bone with an interstitial non-newtonian fluid

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1390/01/01
    • تاریخ انتشار در تی پی بین: 1390/01/01
    • تعداد بازدید: 351
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
    we study the problem of derivation of an effective model of acoustic wave propagation in a two-phase medium composed of a linear kelvin–voight viscoelastic solid and a shearthinning non-newtonian fluid. bone tissue is an important example of such composite materials. the microstructure is modeled as a periodic arrangement of fluid-saturated pores inside the solid matrix. the ratio ε of the macroscopic length scale and the size of the microstructural periodicity cell is a small parameter of the problem. we employ twoscale convergence and some other weak convergence techniques to pass to the limit ε → 0 in the nonlinear governing equations. the effective model is a two-velocity system for the effective velocity v and a corrector velocity w. the latter describes the influence of the high-frequency oscillations on the effective wave propagation. the effective constitutive equation provides an explicit dependence of the effective stress on e(v) + ey(w).

سوال خود را در مورد این مقاله مطرح نمایید :

با انتخاب دکمه ثبت پرسش، موافقت خود را با قوانین انتشار محتوا در وبسایت تی پی بین اعلام می کنم
مقالات جدیدترین ژورنال ها