Dynamic crack propagation between two bonded orthotropic plates
The problem of crack propagation along the interface of two bonded dissimilar orthotropic plates is considered. Using Galilean transformation, the problem is reduced to a quasistatic one. Then, using Fourier transforms and asymptotic analysis, the problem is reduced to a pair of singular integral eq...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/S1110757X04306170 |
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| _version_ | 1832561720927715328 |
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| author | M. S. Matbuly |
| author_facet | M. S. Matbuly |
| author_sort | M. S. Matbuly |
| collection | DOAJ |
| description | The problem of crack propagation along the interface of two bonded
dissimilar orthotropic plates is considered. Using
Galilean transformation, the problem is reduced to a
quasistatic one. Then, using Fourier transforms and asymptotic
analysis, the problem is reduced to a pair of singular integral
equations with Cauchy-type singularity. These equations are
solved using Gauss-Chebyshev quadrature formulae. The dynamic
stress intensity factors are obtained in closed form
expressions. Furthermore, a parametric study is introduced to
investigate the effect of crack growth rate and geometric and
elastic characteristics of the plates on values of dynamic stress
intensity factors. |
| format | Article |
| id | doaj-art-9269e56972254d4a8efe80ba2525b940 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-9269e56972254d4a8efe80ba2525b9402025-02-03T01:24:27ZengWileyJournal of Applied Mathematics1110-757X1687-00422004-01-0120041556810.1155/S1110757X04306170Dynamic crack propagation between two bonded orthotropic platesM. S. Matbuly0Department of Engineering Mathematics and Physics, Faculty of Engineering, Zagazig University, Zagazig P.O. 44519, EgyptThe problem of crack propagation along the interface of two bonded dissimilar orthotropic plates is considered. Using Galilean transformation, the problem is reduced to a quasistatic one. Then, using Fourier transforms and asymptotic analysis, the problem is reduced to a pair of singular integral equations with Cauchy-type singularity. These equations are solved using Gauss-Chebyshev quadrature formulae. The dynamic stress intensity factors are obtained in closed form expressions. Furthermore, a parametric study is introduced to investigate the effect of crack growth rate and geometric and elastic characteristics of the plates on values of dynamic stress intensity factors.http://dx.doi.org/10.1155/S1110757X04306170 |
| spellingShingle | M. S. Matbuly Dynamic crack propagation between two bonded orthotropic plates Journal of Applied Mathematics |
| title | Dynamic crack propagation between two bonded orthotropic plates |
| title_full | Dynamic crack propagation between two bonded orthotropic plates |
| title_fullStr | Dynamic crack propagation between two bonded orthotropic plates |
| title_full_unstemmed | Dynamic crack propagation between two bonded orthotropic plates |
| title_short | Dynamic crack propagation between two bonded orthotropic plates |
| title_sort | dynamic crack propagation between two bonded orthotropic plates |
| url | http://dx.doi.org/10.1155/S1110757X04306170 |
| work_keys_str_mv | AT msmatbuly dynamiccrackpropagationbetweentwobondedorthotropicplates |