Crack deflection at an interface between dissimilar piezoelectric materials
Source abstract
Abstract
The problem of crack deflection in bimaterial systems is considered in this paper. The material combinations may be of piezoelectric-piezoelectric, or one is piezoelectric and the other is not. Based on the Stroh formulation for anisotropic material, Green's functions for various bimaterial combinations are presented within the framework of two-dimensional electroelasticity, allowing the crack problem to be expressed in terms of coupled singular integral equations. A crack impinging on an interface joining two dissimilar materials may arrest or may advance be either penetrating the interface or deflecting into the interface. The competition between deflection and penetration is investigated using the maximum energy release rate criterion. Numerical results are presented to study the role of remote electroelastic loads on the path selection of crack extension.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Numerical methods in engineering · Geotechnical Engineering and Underground Structures · Ultrasonics and Acoustic Wave Propagation
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (21)
Show source-provided references
1. Barnett, D.M. and Lothe, J. (1975). Dislocations and line charges in anisotropic piezoelectric insulators. Physica Status Solidi (b) 67, 105–111.10.1002/pssb.2220670108 ↗
2. Boiko, A.V. and Karpenko, L.N. (1981). On some numerical methods for the solution of the plane elasticity problem for bodies with cracks by means of singular integral equations. International Journal of Fracture 17, 381–388.10.1007/BF00036190 ↗
3. Chen, D.H. (1997). Stress intensity factor for a crack normal to an interface between two orthotropic materials. International Journal of Fracture 88, 19–39.10.1023/A:1007446622055 ↗
4. Chung, M.Y. and Ting, T.C.T. (1996). Piezoelectric solid with an elliptic inclusion or hole. International Journal of Solids and Structures 33, 3343–3361.10.1016/0020-7683(95)00189-1 ↗
5. Cook, T.S. and Erdogan, F. (1972). Stresses in bonded materials with a crack perpendicular to the interface. International Journal of Engineering Science 10, 677–697.10.1016/0020-7225(72)90063-8 ↗
6. Erdogan, F. and Biricikoglu, V. (1973). Two bonded half-planes with a crack going through the interface. International Journal of Engineering Science 11, 745–766.10.1016/0020-7225(73)90004-9 ↗
7. Evans, A.G., Dalgleish, B.J., He, M.Y. and Hutchinson, J.W. (1989). On crack path selection and the interface fracture energy in bimaterial systems. Acta Metallurgica 37, 3249–3254.10.1016/0001-6160(89)90197-1 ↗
8. Gupta, V., Argon, A.S. and Suo, Z. (1992). Crack deflection at an interface between two orthotropic materials. Journal of Applied Mechanics 59, s79–s87.10.1115/1.2899511 ↗
9. He, M.Y. and Hutchinson, J.W. (1989a). Crack deflection at an interface between dissimilar elastic materials. International Journal of Solids and Structures 25, 1053–1067.10.1016/0020-7683(89)90021-8 ↗
10. He, M.Y. and Hutchinson, J.W. (1989b). Kinking of a crack out of an interface. Journal of Applied Mechanics 56, 270–278.10.1115/1.3176078 ↗
11. Horri, H. and Nemat-Nasser, S. (1985). Elastic fields of interacting in homogeneities. International Journal of Solids and Structures 21, 731–745.10.1016/0020-7683(85)90076-9 ↗
12. Hutchinson, J.W. and Suo, Z. (1992). Mixed mode cracking in layered materials. Advances in Applied Mechanics(Edited by Hutchinson J.W. and Wu T.Y.), 29, 63–191.10.1016/S0065-2156(08)70164-9 ↗
13. Miller, G.R. and Stock, W.L. (1989). Analysis of branched interface cracks between dissimilar anisotropic media. Journal of Applied Mechanics 56, 844–849.10.1115/1.3176180 ↗
14. Park, S.B. and Sun, C.T. (1995). Effect of electric field on fracture of piezoelectric ceramics. International Journal of Fracture 70, 203–216.10.1007/BF00012935 ↗
15. Qin, Q.H. and Mai, Y.W. (1998). Thermoelectroelastic Green's function and its application for bimaterial of piezoelectric materials. Archive of Applied Mechanics 68, 433–444.10.1007/s004190050177 ↗
16. Qin, Q.H. and Yu, S.W. (1997). An arbitrarily-oriented plane crack terminating at interface between dissimilar piezoelectric materials. International Journal of Solids and Structures 34, 581–590.10.1016/S0020-7683(96)00040-6 ↗
17. Stroh, A.N. (1958). Dislocations and cracks in anisotropic elasticity. Philosophical Magazine 7, 625–646.10.1080/14786435808565804 ↗
18. Sung, J.C., Liou, J.Y. and Lin, Y.Y. (1996). Some phenomena of cracks perpendicular to an interface between dissimilar orthotropic materials. Journal of Applied Mechanics 63, 190–203.10.1115/1.2787197 ↗
19. Ting, T.C.T. (1992). Image singularities of Green's functions for anisotropic elastic half-space and bimaterials. Quarterly Journal of Mechanics and Applied Mathematics 45, 119–139.10.1093/qjmam/45.1.119 ↗
20. Ting, T.C.T. and Chou, S.C. (1981). Edge singularities in anisotropic composites. International Journal of Solids and Structures 17, 1057–1068.10.1016/0020-7683(81)90013-5 ↗
21. Wang, T.C., Shih, C.F. and Suo, Z. (1992). Crack extension and kinking in laminates and bicrystals. International Journal of Solids and Structures 29, 327–344.10.1016/0020-7683(92)90203-6 ↗