@Article{cmes.2019.08275,
AUTHOR = {M. R. Hematiyan, M. Arezou, N. Koochak Dezfouli, M. Khoshroo},
TITLE = {Some Remarks on the Method of Fundamental Solutions for Two Dimensional Elasticity},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {121},
YEAR = {2019},
NUMBER = {2},
PAGES = {661--686},
URL = {http://www.techscience.com/CMES/v121n2/36321},
ISSN = {1526-1506},
ABSTRACT = {In this paper, some remarks for more efficient analysis of two-dimensional
elastostatic problems using the method of fundamental solutions are made. First, the effects
of the distance between pseudo and main boundaries on the solution are investigated and by
a numerical study a lower bound for the distance of each source point to the main boundary
is suggested. In some cases, the resulting system of equations becomes ill-conditioned for
which, the truncated singular value decomposition with a criterion based on the accuracy of
the imposition of boundary conditions is used. Moreover, a procedure for normalizing the
shear modulus is presented that significantly reduces the condition number of the system of
equations. By solving two example problems with stress concentration, the effectiveness of
the proposed methods is demonstrated.},
DOI = {10.32604/cmes.2019.08275}
}