A new set of direct and indirect boundary element formulations for two-dimensional elastostatics have been developed. These new formulations differ from currently popular formulations in the treatment of body forces. The method of particular integrals is used resulting in a formulation which requires neither volume nor surface integration to solve the most general body force problem. This formulation is implemented in both direct and indirect boundary element methods using quadratic isoparametric elements. The efficiency and accuracy of this formulation for these two methods are compared for a range of problems. Finally, a multi-region problem with complicated geometry is run in order to show the complete generality of the particular integral method.

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