Analysis of centrifugal body force problems in anisotropic materials using the boundary element method

Resumo

The main objective of this work is the development of a formulation of boundary elements for the
anisotropic material problem evaluation under centrifugal loads. The fundamental anisotropic solutions are used
and terms of inertia are considered as body forces. The domain integrals that result from the inertial terms are
transformed into boundary integrals using the radial integration method. As a result, no internal points are needed
to improve the accuracy of the solution. Discontinuous quadratic boundary elements are used whose degrees of
freedom are written in a local reference system, where the directions of the coordinate axes coincide with the
normal and tangent directions to the boundary at the collocation point. Problems with known analytical solutions
are used in order to assess the accuracy of the proposed formulation. There is a good agreement between the
numerical and exact solutions.