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| Content Provider | Springer Nature Link |
|---|---|
| Author | Li, Xian Fang Lee, Kang Yong |
| Copyright Year | 2006 |
| Abstract | The transient response of a semi-infinite transversely isotropic piezoelectric layer containing a surface crack is analyzed for the case where anti-plane mechanical and in-plane electric impacts are suddenly exerted at the layer end. The integral transform techniques are used to reduce the associated mixed initial boundary value problem to a singular integral equation of the first kind, which can be solved numerically via the Lobatto–Chebyshev collocation technique. Dynamic field intensity factors are determined by employing a numerical inversion of the Laplace transform. The dynamic stress intensity factors are presented graphically and the effects of the material properties and geometric parameters are examined. |
| Ending Page | 651 |
| Page Count | 16 |
| Starting Page | 636 |
| File Format | |
| ISSN | 00442275 |
| e-ISSN | 14209039 |
| Journal | Zeitschrift für angewandte Mathematik und Physik |
| Issue Number | 4 |
| Volume Number | 57 |
| Language | English |
| Publisher | Birkhäuser-Verlag |
| Publisher Date | 2006-02-03 |
| Publisher Place | Basel |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Impact Transient response Singularities, blowup, stress concentrations Mathematical Methods in Physics piezoelectric layer surface crack dynamic fracture Brittle fracture permeable crack Theoretical and Applied Mechanics singular integral equation |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Physics and Astronomy |
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