Abstract
This paper analyzes the dynamic magnetoelectroelastic behavior induced by a penny-shaped crack in a magnetoelectroelastic layer. The crack surfaces are subjected to only radial shear impact loading. The Laplace and Hankel transform techniques are employed to reduce the problem to solving a Fredholm integral equation. The dynamic stress intensity factor is obtained and numerically calculated for different layer heights. And the corresponding static solution is given by simple analysis. It is seen that the dynamic stress intensity factor for cracks in a magnetoelectroelastic layer has the same expression as that in a purely elastic material. And the influences of layer height on both the dynamic and static stress intensity factors are insignificant as h/a > 2.
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Zhou, Z.G., Wang, B. and Sun, Y.G., Two collinear interface cracks in magneto-electro-elastic composites. International Journal of Engineering Science, 2004, 42: 1155–1167.
Hu, K.Q., Li, G.Q. and Zhong, Z., Fracture of a rectangular piezoelectromagnetic body. Mechanics Research Communications, 2006, 33: 482–492.
Gao, C.F., Tong, P. and Zhang, T.Y., Interfacial crack problems in magneto-electroelastic solids. International Journal of Engineering Science, 2003, 41: 2105–2121.
Soh, A.K. and Liu, J.X., On the constitutive equations of magnetoelectroelastic solids. Journal of Intelligent Material Systems and Structures, 2005, 16: 597–202.
Tina, W.Y. and Gabbert, U., Macro-crack-Micro-crack problem interaction problem in magnetoelectroelastic solids. Mechanics of Materials, 2005, 37: 565–592.
Wang, B.L. and Mai, Y.W., Applicability of the crack-face electromagnetic boundary conditions for fracture of magnetoelectroelastic materials. International Journal of Solids and Structures, 2007, 44: 387–398.
Du, J.K., Shen, Y.P., Ye, D.Y. and Yue, F.R., Scattering of anti-plane shear waves by a partially debonded magneto-electro-elastic circular cylindrical inhomogeneity. International Journal of Engineering Science, 2004, 42: 887–913.
Feng, W.J. and Su, R.K.L., Dynamic internal crack problem of a functionally graded magneto-electro-elastic strip. International Journal of Solids and Structures, 2006, 43: 5196–5216.
Su, R.K.L., Feng, W.J. and Liu, J., Transient response of interface cracks between dissimilar magneto-electro-elastic strips under out-of-plane mechanical and in-plane magneto-electrical impact loads. Composite Structures, 2007, 78: 119–128.
Zhao, M.H., Yang, F. and Liu, T., Analysis of a penny-shaped crack in a magneto-electro-elastic medium. Philosophical Magazine, 2006, 86: 4397–4416.
Niraula, O.P. and Wang, B.L., A magneto-electro-elastic material with a penny-shaped crack subjected to temperature loading. Acta Mechanica, 2006, 187: 151–168.
Sih, G.C. and Chen, E.P., Cracks in Composite Materials: A Compilation of Stress Solutions for Composite Systems with Cracks. The Hague: Martinus Nijhoff Publishers, 1981.
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Project supported by the National Natural Science Foundation of China (No. 10772123) and the Natural Science Fund of Hebei Province (No. E2006000398).
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Feng, W., Nie, H. & Han, X. A penny-shaped crack in a magnetoelectroelastic layer under radial shear impact loading. Acta Mech. Solida Sin. 20, 275–282 (2007). https://doi.org/10.1007/s10338-007-0732-y
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DOI: https://doi.org/10.1007/s10338-007-0732-y