A mixed boundary value problem of a cracked elastic medium under torsion

Abstract

The present work aims to investigate a penny-shaped crack problem in the interior of a homogeneous elastic material under axisymmetric torsion by a circular rigid inclusion embedded in the elastic medium. With the use of the Hankel integral transformation method, the mixed boundary value problem is reduced to a system of dual integral equations. The latter is converted into a regular system of Fredholm integral equations of the second kind which is then solved by quadrature rule. Numerical results for the displacement, stress and stress intensity factor are presented graphically in some particular cases of the problem.

Keywords

• elastic medium
• axisymmetric torsion
• penny-shaped crack
• dualintegral equations
• fredholm integral equations
• stress intensity factor