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Boundary element solution for half-space elasticity or stokes problem with a no-slip boundary

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Abstract

We report an implementation of the Boundary Element Method (BEM) for half-space elasticity or Stokes problems with a plane interface (the boundary of the half space). With a proper choice of the singularity solution this plane interface, on which the displacement or velocity vector is zero, does not need to be discretized. For a large class of problems involving translating or rotating bodies a simplification of the boundary element formulation is possible, with a resulting improvement in the accuracy of the numerical results. The three-dimensional boundary element program was tested with the moving sphere problem and was found to be satisfactory in all cases.

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Communicated by R. I. Tanner and S. N. Aduri, November 1, 1985

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Tran-Cong, T., Phan-Thien, N. Boundary element solution for half-space elasticity or stokes problem with a no-slip boundary. Computational Mechanics 1, 259–268 (1986). https://doi.org/10.1007/BF00273702

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