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| Content Provider | Springer Nature Link |
|---|---|
| Author | Cunfa, Gao Weixun, Fan |
| Copyright Year | 1999 |
| Abstract | An assumption that the normal component of the electric displacement on crack faces is thought of as being zero is widely used in analyzing the fracture mechanics of piezoelectric materials. However, it is shown from the available experiments that the above assumption will lead to erroneous results. In this paper, the two-dimensional problem of a piezoelectric material with a crack is studied based on the exact electric boundary condition on the crack faces. Stroh formalism is used to obtain the closed-form solutions when the material is subjected to uniform loads at infinity. It is shown from these solutions that: (i) the stress intensity factor is the same as that of isotropic material, while the intensity factor of the electric displacement depends on both material properties and the mechanical loads, but not on the electric load. (ii) the energy release rate in a piezoelectric material is larger than that in a pure elastic-anisotropic material, i. e., it is always positive, and independent of the electric loads. (iii) the field solutions in a piezoelectric material are not related to the dielectric constant of air or vacuum inside the crack. |
| Starting Page | 51 |
| Ending Page | 58 |
| Page Count | 8 |
| File Format | |
| ISSN | 02534827 |
| Journal | Applied Mathematics and Mechanics |
| Volume Number | 20 |
| Issue Number | 1 |
| e-ISSN | 15732754 |
| Language | English |
| Publisher | Kluwer Academic Publishers |
| Publisher Date | 1999-01-01 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | piezoelectric material plane problem crack energy release rate exact solution Applications of Mathematics Mathematical Modeling and Industrial Mathematics Mechanics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Mechanics of Materials Mechanical Engineering |
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