| Autor: |
Ken L. Kuttler, Serge Kruk, Pawel Marcinek, Meir Shillor |
| Jazyk: |
angličtina |
| Rok vydání: |
2017 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2017, Iss 301,, Pp 1-42 (2017) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
This work models, analyses and simulates a one-dimensional process of debonding of a structure made of two viscoelastic bonded slabs that is described by a rod-beam system. It is motivated, primarily, by the degradation of adhesively bonded plates in automotive applications and studies the effects of the humidity, horizontal and vertical vibrations and temperature on the debonding process. The existence of a weak solution to the model is established by using approximate problems, existence theorems for differential inclusions, and a fixed point theorem. An implicit finite differences algorithm for the problem is developed and used to simulate the system dynamics. It is found that the qualitative behavior of the system correlates well with experimental results. Moreover, it indicates that using the shifts in the spectrum, as described by the FFT of one component of the solution, may be used to measure nondestructively the integrity of the bonds and their deterioration. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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