TY  - EJOU
AU  - Wen, P.H. 
AU  - Huang, X.J. 
AU  - Aliabadi, M.H. 

TI  - Two Dimensional Nonlocal Elasticity Analysis by Local Integral Equation Method
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2013
VL  - 96
IS  - 3
SN  - 1526-1506

AB  - 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.
KW  - Two dimensional nonlocal elasticity
KW  -  Eringen’s model
KW  -  local integral equation method
KW  -  weak form
KW  -  radial basis functions

DO  - 10.3970/cmes.2013.096.199