Effective spring boundary conditions for a damaged interface between dissimilar media in three-dimensional case. (1st March 2016)

• Record Type: Journal Article
• Authors: Golub, Mikhail V.; Doroshenko, Olga V.; Boström, Anders
• Is Part Of: International journal of solids and structures. Volume 81(2016)
• Page Start: 141
• Page End: 150
• Publication Date: 2016-03-01
• Subjects: Imperfect contact -- Delamination -- Elastic waves -- Spring boundary condition -- Spring stiffness -- Crack -- Diffraction -- Dissimilar materials; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2015.11.021
• Languages: English
• ISSNs: 0020-7683

Abstract

Abstract: 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.