New Axisymmetric BEM Formulation for Body Forces Using Particular Integrals

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Abstract
A new boundary element formulation is introduced for the treatment of gravitational and centrifugal body forces in axisymmetric elastic media. This new formulation is based on the method of particular integrals, which require neither volume nor surface integration for the treatment of body forces. Particular integrals for both gravitational and centrifugal body forces are derived and all kernel functions are defined in an appendix. The formulation is implemented into a multiregion system that utilizes quadratic isoparametric shape functions to model the geometry and field variables on the boundary of the body. A number of examples of practical interest have been included to demonstrate the power and versatility of the present formulation.