TY - EJOU
AU - He, Donghong
AU - Ma, Hang
TI - Efficient Solution of 3D Solids with Large Numbers of Fluid-Filled Pores Using Eigenstrain BIEs with Iteration Procedure
T2 - Computer Modeling in Engineering \& Sciences
PY - 2019
VL - 118
IS - 1
SN - 1526-1506
AB - 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.
KW - Fluid-filled pores
KW - boundary integral equation
KW - eigenstrain
KW - near-filed group
KW - local Eshelby matrix
KW - equivalent inclusion
KW - mechanical property
DO - 10.31614/cmes.2019.04327