Effect of a partial contact between the crack faces on its contribution to overall material compliance and resistivity

Compliance and resistivity contribution tensors of a penny-shaped crack having a partial contact of arbitrary location along crack faces are found, in terms of contact size and its distance from the center. This result is a first step towards modeling of “rough” cracks having contacts between crack faces. Being applied to multiple cracks, our results yield the “adjusted”, for the presence of contacts, value of crack density in terms of contact parameters. Similar results are obtained in the context of conductivity.