@Article{cmes.2013.096.199,
AUTHOR = {P.H. Wen, X.J. Huang, M.H. Aliabadi},
TITLE = {Two Dimensional Nonlocal Elasticity Analysis by Local Integral Equation Method},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {96},
YEAR = {2013},
NUMBER = {3},
PAGES = {199--225},
URL = {http://www.techscience.com/CMES/v96n3/27033},
ISSN = {1526-1506},
ABSTRACT = {In this paper, a Local Integral Equation Method (LIEM) is presented for solving two-dimensional nonlocal elasticity problems . The approach is based on the Eringen’s model with LIEM and the interpolation using the radial basis functions to obtain the numerical solutions for 2D problems. A weak form for the set of governing equations with a unit test function is transformed into the local integral equations. The meshless approximation technique with radial basis functions is employed for the implementation of displacements. A set of the local domain integrals is obtained in analytical form for the local elasticity and by using a standard integral scheme for the nonlocal elasticity. Three examples are presented to demonstrate the convergence and accuracy of LIEM including a rectangular plate, disk and a plate containing a circular hole subjected to a uniformly distributed displacement or tensile load. Comparisons have been made with the solutions of one dimension problems and other numerical techniques including the finite integration method, the finite/boundary element methods.},
DOI = {10.3970/cmes.2013.096.199}
}