Shear crack in a transversely isotropic magnetoelectroelastic half-space. (English) Zbl 1258.74193
Summary: Explicit closed-form expressions are derived and discussed for the stress, electric and magnetic fields’ components around an arbitrarily loaded antiplane shear crack situated parallel to the free-surface of a semi-infinite transversely isotropic magnetoelectroelastic material. Some illustrative numerical data are presented.
References:
| [1] | Gao, C. -F.; Kessler, H.; Balke, H.: Crack problems in magnetoelectroelastic solids. Part I: Exact solution of a crack, Int. J. Eng. sci. 41, 969-981 (2003) · Zbl 1211.74187 · doi:10.1016/S0020-7225(02)00323-3 |
| [2] | Gao, C. -F.; Kessler, H.; Balke, H.: Crack problems in magnetoelectroelastic solids. Part II: General solution of collinear cracks, Int. J. Eng. sci. 41, 983-994 (2003) · Zbl 1211.74188 · doi:10.1016/S0020-7225(02)00324-5 |
| [3] | Hu, K.; Li, G.: Electro-magneto-elastic analysis of piezoelectromagnetic strip with a finite crack under longitudinal shear, Mech. mater. 37, 925-934 (2005) |
| [4] | Hu, K.; Li, G.: Constant moving crack in a magnetoelectroelastic material under antiplane shear loading, Int. J. Solid struct. 42, 2823-2835 (2005) · Zbl 1093.74550 · doi:10.1016/j.ijsolstr.2004.09.036 |
| [5] | Huang, J. H.; Liu, H. -K.; Dai, W. -L.: The optimized fiber volume fraction for magnetoelectric coupling effect in piezoelectric – piezomagnetic continuous fiber reinforced composites, Int. J. Eng. sci. 38, 1207-1217 (2000) |
| [6] | Li, J. Y.: Magnetoelectroelastic multi-inclusion and inhomogeneity problems and their applications in composite materials, Int. J. Eng. sci. 38, 1993-2011 (2000) |
| [7] | Liu, J. X.; Soh, A. K.; Fang, D. N.: A moving dislocation in a magneto-electro-elastic solid, Mech. res. Commun. 32, 504-513 (2005) · Zbl 1192.74106 · doi:10.1016/j.mechrescom.2005.02.009 |
| [8] | Sue, W. C.; Liou, J. Y.; Sung, J. C.: Investigation of the stress singularity of a magneto-electroelastic bonded antiplane wedge, Appl. math. Model. 31, 2313-2331 (2007) · Zbl 1129.74019 · doi:10.1016/j.apm.2006.09.003 |
| [9] | Tupholme, G. E.: Mode III crack in an isotropic elastic half-space, Int. J. Eng. sci. 27, 123-129 (1989) · Zbl 0675.73061 · doi:10.1016/0020-7225(89)90072-4 |
| [10] | Tupholme, G.E., 2007. Moving antiplane shear crack in transversely isotropic magnetoelectro-elastic media. Acta Mech. accepted for publication. |
| [11] | Wang, B. L.; Mai, Y. -W.: Crack tip field in piezoelectric/piezomagnetic media, Eur. J. Mech. A: solid 22, 591-602 (2003) · Zbl 1032.74641 · doi:10.1016/S0997-7538(03)00062-7 |
| [12] | Wang, B. -L.; Mai, Y. -W.: Fracture of piezoelectromagnetic materials, Mech. res. Commun. 31, 65-73 (2004) · Zbl 1045.74586 · doi:10.1016/j.mechrescom.2003.08.002 |
| [13] | Zhao, M. H.; Wang, H.; Yang, F.; Liu, T.: A magnetoelectroelastic medium with an elliptical cavity under combined mechanical – electric magnetic loading, Theor. appl. Fract. mech. 45, 227-237 (2006) |
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