An effective approach for utilizing damping solvent extraction method in frequency domain

Abstract

Damping solvent extraction is a finite element method for the analysis of unbounded (visco-)elastic media which was suggested by Wolf and Song in 1994. It was originally recommended that the method should be employed with a variable domain size depending on excitation frequency. Furthermore, other researchers who have utilized this method in the context of constant domain size, have often imposed strict conditions on the mesh size for the whole domain, which reduces the effectiveness of the approach. Considering the effect of artificial damping on mesh density selection, the present study introduces damping solvent as a method in which one can relax typical mesh density requirements to a large extent by utilizing a large value of artificial damping. Therefore, it makes the finite element mesh to benefit from a large domain size which improves the results for low frequency range. Moreover, good results are simultaneously obtained for high frequency range due to employing a large value of artificial damping. To illustrate the point, a rigid strip foundation with a cross section of rectangle embedded in half plane is considered. According to some comparison between the results obtained from several finite element meshes, the best one which takes full advantages of a large value of artificial damping for dynamic stiffness coefficients of strip foundation is introduced. These comparisons are carried out on domain size, mesh density and artificial damping.