E.J. Sellountos1, S.V. Tsinopoulos2, D. Polyzos3
CMES-Computer Modeling in Engineering & Sciences, Vol.86, No.2, pp. 145-170, 2012, DOI:10.3970/cmes.2012.086.145
Abstract A Local Boundary Integral Equation (LBIE) method for solving two dimensional problems in gradient elastic materials is presented. The analysis is performed in the context of simple gradient elasticity, the simplest possible case of Mindlin's Form II gradient elastic theory. For simplicity, only smooth boundaries are considered. The gradient elastic fundamental solution and the corresponding boundary integral equation for displacements are used for the derivation of the LBIE representation of the problem. Nodal points are spread over the analyzed domain and the moving least squares (MLS) scheme for the approximation of the interior and boundary More >
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