journal article·2000-09

A penny-shaped crack in piezoelectrics: resolved

W.Q. Chen, T. Shioya, H.J. Ding

International Journal of Fracture· Volume 105· Issue 1
Publisher page

Abstract

This paper reconsiders the problem of a penny-shaped crack in a piezoelectric medium under uniform mechanical as well as electric loadings applied at infinity (mode I). The analysis is based on the general solution of three-dimensional piezoelasticity, which is represented by four quasi-harmonic displacement functions. It is shown that these harmonics can be expressed in terms of two potentials of a simple layer. By using the previous results in potential theory, exact solution of the mode I crack is obtained. In particular, the solution is complete and in terms of elementary functions.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Numerical methods in engineering · Ultrasonics and Acoustic Wave Propagation · Geotechnical Engineering and Underground Structures

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (12)

Show source-provided references
1. Ding, H.J., Chen, B. and Liang, J. (1997). International Journal of Solids and Structures 34, 3041–3057.10.1016/S0020-7683(96)00201-6 ↗
2. Dunn, M.L. and Taya, M. (1994). Journal of Applied Mechanics 61, 474–475.10.1115/1.2901471 ↗
3. Fabrikant, V.I. (1989). Applications of Potential Theory in Mechanics: A Selection of New Results, Dordrecht: Kluwer Academic Publishers.
4. Huang, J.H. (1997). International Journal of Solids and Structures 34, 2631–2644.10.1016/S0020-7683(96)00160-6 ↗
5. Kogan, L., Hui, C.Y. and Molkov, V. (1996). International Journal of Solids and Structures 33, 2719–2737.10.1016/0020-7683(95)00182-4 ↗
6. Pak, Y.E. (1992). International Journal of Fracture 54, 79–100.10.1007/BF00040857 ↗
7. Park, S.B. and Sun, C.T. (1995). International Journal of Fracture 70, 203–216.10.1007/BF00012935 ↗
8. Sosa, H.A. and Pak, Y.E. (1990). International Journal of Solids and Structures 26, 1–15.10.1016/0020-7683(90)90090-I ↗
9. Suo, Z., Kuo, C.M., Barnett, D.M. and Willis, J.R. (1992). Journal of the Mechanics and Physics of Solids 40, 739–765.10.1016/0022-5096(92)90002-J ↗
10. Wang, B. (1992). International Journal of Engineering Science 30, 781–791.10.1016/0020-7225(92)90107-R ↗
11. Zhang, T.Y. and Tong, P. (1996). International Journal of Solids and Structures 33, 343–359.10.1016/0020-7683(95)00046-D ↗
12. Zhong, Z. and Meguid, S.A. (1997). International Journal of Fracture 84, 143–158.10.1023/A:1007327931730 ↗