Figure 5: Effect of the magneto electric partial permeability parameters on the normalized fields’ intensity factors under constant electric displacement (a) and magnetic induction (b) loadings in the case of central crack, h a and 1 a . Acknowledgement The first two authors are grateful for the funding provided to their laboratory by the Tunisian Ministry of Higher Education and Scientific Research. This work was performed within the framework of the International Institute for Multifunctional Materials for Energy Conversion which is funded by the US National Science Foundation. References Mode III crack problem in a functionally graded magneto-electro-elastic strip Li Ma, Jia Li, Radhi Abdelmoula, Lin-Zhi Wu, International Journal of Solids and Structures 44 (2007) 5518–5537 Surface crack problem for functionally graded magneto electro elastic coating homogeneous elastic substrate system under anti-plane mechanical and in-plane electric and magnetic loading, Li Ma, Lin-Zhi Wua, Lin-Ping Feng , Engineering Fracture Mechanics 76 (2009) 269–285 Two parallel symmetry permeable cracks in functionally graded piezoelectric/piezomagnetic materials under anti-plane shear loading, Zhen-Gong Zhou, Biao Wang, International Journal of Solids and Structures 41 (2004) 4407–4422 Dynamic fracture behaviors of cracks in a functionally graded magneto-electro-elastic plate, Feng Wenjie, Su Raykaileung, European Journal of Mechanics A/Solids 26 (2007) 363–379 Dynamic internal crack problem of a functionally graded magneto-electro-elastic strip W.J. Feng, R.K.L. Su, International Journal of Solids and Structures 43 (2006) 5196–5216 Scattering of harmonic anti-plane shear stress waves by a crack in functionally graded piezoelectric/piezomagnetic materials, Liang Jun, Acta Mechanica Solida Sinica, Vol. 20, No. 1, March, 2007 Basic solution of a Mode-I limited-permeable crack in functionally graded piezoelectric/piezomagnetic materials, Zhen-Gong Zhou, Zeng-Tao Chen, International Journal of Solids and Structures 45 (2008) 2265–2296 Anti-plane crack intersecting the interface in a bonded smart structure with graded magneto electro elastic properties, Y.D. Li, K.Y. Lee, Theoretical and Applied Fracture Mechanics 50 (2008) 235–242 Fracture analysis and improved design for a symmetrically bonded smart structure with linearly non-homogeneous magneto electro elastic properties, Yong-Dong Li, Kang Yong Lee, Engineering Fracture Mechanics 75 (2008) 3161–3172 Crack in a bonded functionally graded magneto-electro-elastic strip, Li-Fang Guo, Xing Li, Sheng-Hu Ding, Computational Materials Science 46 (2009) 452–458 An embedded mixed-mode crack in a functionally graded magnetoelectroelastic infinite medium, Rekik M., El-Borgi S., Ounaies Z., 2012 International Journal of Solids and Structures 49 (2012) 835–845 -0.5 0 0.5 1 1.5 0 0.2 0.4 0.6 0.8 1 k1(1) k2(1) kD(1) kB(1) k1(-1) k2(-1) kD(-1) kB(-1) ke k 1 /(De 33 / 33 ), k 2 /(De 33 / 33 ), k D /D, k B /(Dg 33 / 33 ) (a) 0 0.4 0.8 1.2 0 0.2 0.4 0.6 0.8 1 k1(1) k2(1) kD(1) kB(1) k1(-1) k2(-1) kD(-1) kB(-1) km k 1 /(Bf 33 / 33 ), k 2 /(Bf 33 / 33 ), k D /(Bg 33 / 33 ), k B /B (b)
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