title: Explicit relations between elastic and conductive properties of materials containing annular cracks.
abstract: The impact of annular cracks on the effective elastic and conductive properties of a material is analysed. The compliance contribution tensor of an annular crack - the quantity that determines the increase in compliance of a solid due to introduction of such a crack - is derived analytically. The resistivity contribution tensor of an annular crack is calculated numerically. It is shown that an effective circular crack, i.e. a crack which yields the same change in elastic/conductive properties of a material as the given annular crack, can be chosen to match both of these tensors. Using this result, the explicit relation between elastic and conductive properties of a material containing annular cracks is obtained. The relation is derived using a non-interaction approximation. Applicability of the derived formulae to real materials (to plasma-sprayed coatings, in particular) is discussed.
authors.affiliation: Department of Mechanical Engineering, New Mexico State University, PO Box 30001, Las Cruces, NM 88003, USA.
authors.forename: Igor
authors.initials: I
authors.lastname: Sevostianov
mesh_terms: D020099:Coated Materials, Biocompatible / Q000737:chemistry; D004548:Elasticity; D004553:Electric Conductivity; D008422:Materials Testing / Q000379:methods*; D008962:Models, Theoretical
chemical_list: D020099:Coated Materials, Biocompatible