A simple solution method to 3D integral nonlocal elasticity: Isotropic-BEM coupled with strong form local radial point interpolation

• Published in: Engineering analysis with boundary elements Vol. 36; no. 4; pp. 606 - 612
• Main Authors: Schwartz, M., Niane, N.T., Kouitat Njiwa, R.
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Ltd 01.04.2012; Elsevier
• Subjects: Boundary element method; Displacement; Exact sciences and technology; Fluid flow; Fundamental areas of phenomenology (including applications); Integrals; Interpolation; Isotropic-BEM; Mathematical analysis; Mathematical models; Meshfree strong form; Nonlocal elasticity; Physics; Radial basis function; Solid mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Three dimensional; Radial basis function; Meshfree strong form; Nonlocal elasticity; Isotropic-BEM; Partition; Navier equation; Meshless method; Elasticity; Strong solution; Modeling; Boundary element method; Non local theory
• ISSN: 0955-7997; 1873-197X
• DOI: 10.1016/j.enganabound.2011.10.004

Nonlocal theories are of growing interest as they can address problems that lead to unphysical results in the framework of classical models. In this work, a solution procedure for three-dimensional integral nonlocal elastic solid is presented. The approach is based on the partition of the displacement field into complementary and particular parts. The complementary displacement is the solution of a Navier type equation and is obtained by the boundary element method, while the particular displacement is obtained using a local radial point interpolation method. The method is illustrated by comparing the responses to some simple loadings of a solid of finite extent with the original nonlocal model of Eringen and the enhanced model of Polizzotto.