Axial displacement of a disk inclusion embedded in a penny-shaped crack. (English) Zbl 0577.73100
Summary: The present paper examines the axisymmetric problem of the axial translation of a rigid circular disc inclusion of finite thickness which is wedged in smooth contact in a penny-shaped crack. Results for the axial stiffness of the embedded inclusion and the stress intensity factor at the boundary of the penny shaped crack are evaluated in exact closed form.
MSC:
| 74R05 | Brittle damage |
| 74B99 | Elastic materials |
| 74H99 | Dynamical problems in solid mechanics |
| 74E05 | Inhomogeneity in solid mechanics |
| 45L05 | Theoretical approximation of solutions to integral equations |
Keywords:
reduced to solution of system of triple integral equations; reduced; to single Fredholm equation of second kind; expansion of governing; function in power series; terms of non-dimensional parameter; direct axisymmetrical loading; central force; Hankel transform; development of governing equations; axisymmetric problem; axial translation; rigid circular disc inclusion; finite thickness; wedged in smooth contact; penny-shaped crack; axial stiffness of the embedded inclusion; stress intensity factor at the boundary; penny shaped crack; exact closed formReferences:
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