Open AccessA mixed boundary value problem of a cracked elastic medium under torsion
Author(s) -
Б. Кебли,
Fateh Madani
Publication year - 2021
Publication title -
theoretical and applied mechanics/theoretical and applied mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.279
H-Index - 6
eISSN - 2406-0925
pISSN - 1450-5584
DOI - 10.2298/tam200923010k
Subject(s) - torsion (gastropod) , stress intensity factor , mathematical analysis , mathematics , quadrature (astronomy) , boundary value problem , fredholm integral equation , integral equation , nyström method , rotational symmetry , geometry , physics , fracture mechanics , medicine , surgery , optics , thermodynamics
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.