| 1. |
- Golub, M.V., et al.
(author)
-
Effective spring boundary conditions for a damaged interface between dissimilar media in three-dimensional case
- 2016
-
In: International Journal of Solids and Structures. - : Elsevier BV. - 0020-7683. ; 81, s. 141-150
-
Journal article (peer-reviewed)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.
|
|
| 2. |
- Golub, M.V., et al.
(author)
-
Spring boundary conditions and modeling of 2D wave propagation in composites with imperfect interfaces
- 2010
-
In: Proceedings of the International Conference Days on Diffraction, DD 2010. St. Petersburg, 8 June 2010 through 11 June 2010. - 9785965105298 ; , s. 73-78
-
Conference paper (peer-reviewed)abstract
- The possibility of applying spring boundary conditions to model propagation of elastic waves in layered composites with nonperfect contact between layers in studied. The stiffnesses in the spring boundary conditions are determined by the crack density, the effective size of microdefects, and the elastic properties of the materials via the Baik-Thompson and Boström-Wickham approaches. The efficiency of the model is analyzed for periodic structures with damaged layers.
|
|
| 3. |
- Golub, M. V., et al.
(author)
-
TRANSMISSION OF ELASTIC WAVES THROUGH AN INTERFACE BETWEEN DISSIMILAR MEDIA WITH RANDOM AND PERIODIC DISTRIBUTIONS OF STRIP-LIKE MICRO-CRACKS
- 2018
-
In: Materials Physics and Mechanics. - 1605-8119 .- 1605-2730. ; 37:1, s. 52-59
-
Journal article (peer-reviewed)abstract
- The present work investigates wave propagation through a damaged interface between two elastic media. Dynamic behaviour of the deterioration or damage of an interface is described using a random distribution of strip-like micro-cracks of different sizes, a periodic array of strip-like cracks or via a distributed spring model. The wave-field scattered by cracks is calculated using a boundary integral equation method. The spring model assumes introduction of the spring boundary conditions, where stresses are proportional to the displacement jump with the proportionality given by the spring stiffness. Components of the spring stiffness matrix are defined in terms of the concentration of the defects, their typical size and the elastic properties of the contacting materials. Numerical analysis of reflection and transmission for the considered models of the damaged interface is provided.
|
|
