Dual Reciprocity Formulation For Elasticity Problems Using Compact Supported Radial Basis Functions
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Y F Rashed
In this paper particular solutions corresponding to the compact supported radial basis functions (CS RBF) to the Navier operator of elasticity are derived. The use of these particular solutions within the dual reciprocity method (DRM) is outlined. The fictitious displacement and traction particular solution kernels are derived for four classes of CS REW. Additional complementary solutions are derived to replace the particular solutions outside the zone of the compact radius (a).The continuity of the two solutions and their derivatives up to the third derivatives are ensured along the circumference of the compact supported edge circle. All kernels are listed in explicit forms.