Analytic calculation of integral-free terms from Somigliana identities [German]

摘要

New analytical formulas are derived for calculating the integral free terms of both the 3-D Somigliana displacement and the Somigliana stress identity with nan-smooth boundary. The basis of the approach is to incorporate spherical geometry. Computation of the formulas is easy because the integration is replaced by simple tensor-function transformations. It is possible to apply the results to other problems associated with the Boundary Element Method. [References: 10]