Effective spring boundary conditions for a damaged interface between dissimilar media in three-dimensional case
Journal article, 2016

Elastic waves in the presence of a damaged interface between two dissimilar elastic media is investigated in the three-dimensional case. The damaged is modeled as a stochastic distribution of equally sized circular cracks which is transformed into a spring boundary condition. First the scattering by a single circular interface crack between two dissimilar half-spaces is investigated and solved explicitly for normally incident waves in the low frequency limit. The transmission by a distribution of cracks is then determined and is transformed into a spring boundary condition, where effective spring stiffnesses are expressed in terms of elastic moduli and damage parameters. A comparison with previous results for a periodic distribution of cracks shows good agreement.

Spring boundary condition


Dissimilar materials

Elastic waves

Spring stiffness



Imperfect contact


M.V. Golub

O.V. Doroshenko

Anders E Boström


International Journal of Solids and Structures

0020-7683 (ISSN)

Vol. 81 141-150

Subject Categories

Mechanical Engineering



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