@Article{cmes.2019.04327,
AUTHOR = {Donghong He, Hang Ma},
TITLE = {Efficient Solution of 3D Solids with Large Numbers of Fluid-Filled Pores Using Eigenstrain BIEs with Iteration Procedure},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {118},
YEAR = {2019},
NUMBER = {1},
PAGES = {15--40},
URL = {http://www.techscience.com/CMES/v118n1/33892},
ISSN = {1526-1506},
ABSTRACT = {To deal with the problems encountered in the large scale numerical simulation of three dimensional (3D) elastic solids with fluid-filled pores, a novel computational model with the corresponding iterative solution procedure is developed, by introducing Eshelbyâ€™s idea of eigenstrain and equivalent inclusion into the boundary integral equations (BIE). Moreover, by partitioning all the fluid-filled pores in the computing domain into the near- and the far-field groups according to the distances to the current pore and constructing the local Eshelby matrix over the near-field group, the convergence of iterative procedure is guaranteed so that the problem can be solved effectively and efficiently in the numerical simulation of solids with large numbers of fluid-filled pores. The feasibility and correctness of the proposed computational model are verified in the numerical examples in comparison with the results of the analytical solution in the case of a single spherical fluid-filled pore under uniform pressure in full space and with the results of the subdomain BIE in a number of other cases. The overall mechanical properties of solids are simulated using a representative volume element (RVE) with a single or multiple fluid-filled pores, up to one thousand in number, with the proposed computational model, showing the feasibility and high efficiency of the model. The effect of random distribution of fluid-filled on overall properties is also discussed. Through some examples, it is observed that the effective elastic properties of solids with a large number of fluid-filled pores in random distributions could be studied to some extent by those of solids with regular distributions.},
DOI = {10.31614/cmes.2019.04327}
}