• boundary element method for 2d solids with fluid-filled pores

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1390/01/01
    • تاریخ انتشار در تی پی بین: 1390/01/01
    • تعداد بازدید: 613
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     in this paper, a boundary element method is developed for solving the problems of 2d solids with fluid-filled pores. the solid is assumed as linear elastic, which contains many fluid-filled pores of various shapes, and the fluid filling the pores is assumed to be linear compressible. two different approaches, named superposition method and multi-subdomain method have been presented. the first one is based on the principle of superposition, in which all the pressures in the fluid-filled pores will be determined first, and then all the other boundary unknowns can be computed. in the other approach, the subdomains of the fluid in pores are solved to obtain the relation of the interface displacements with the interface pressure first, and then all the boundary unknowns, including the fluid pressure in each pore, can be solved simultaneously. two simple examples of the 2d solids containing one circular fluid-filled pore are applied to verify the accuracy and to show the efficiency of the presented methods. and then, the effective elastic modulus and effective poisson’s ratio are simulated based on several models of the 2d solids containing 100 randomly distributed circular or elliptical fluid-filled pores. the numerical results computed by the two schemes have nearly the same accuracy, whereas the multi-subdomain method has higher computational efficiency than the superposition method. some differences between the results obtained by the bem and those given by kachanov’s method in the literature have been observed, which will be further investigated in the future work.

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