New additional conditions for the numerical uniqueness of the Boussinesq and Timpe solutions of elasticity problems

Abstract

New additional simple conditions of Dirichlet type are proposed for the numerical uniqueness of the solution of elastostatic axisymmetric problems formulated in terms of Boussinesq and Timpe potential functions, as particular cases of the Papkovich–Neuber representation. Applications to hollow cylinder, subjected to general axisymmetric load and displacement boundary conditions, are shown and numerically solved by the network method.

Keywords:

• Boussinesq potentials
• Timpe potentials
• elastostatic
• numerical uniqueness
• network method

2010 AMS Subject Classifications::

• 35A02
• 31A99
• 74G15