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Bem axisymmetric formulation for elasticity and thermoelasticity

Abstract:

Dealing with axisymmetric problems involves a co-ordinate transformation system and additional integration process of the well-known classic boundary integral equation for 3D elasticity and thermoelasticity theories. An axisymmetric boundary element formulation is implemented in a steady-state framework for multi-domain elastic, isotropic and homogeneous problems. The fundamental solutions and their singular behaviour were taken from available literature. In order to obtain a high accuracy in the solution, employing continuous linear elements, some singular terms appearing in the boundary integral equation have been integrated analytically. Several numerical examples are provided to illustrate de versatility of this approach for practical engineering problems.