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Fracture Mechanics for a Mode Ⅲ Crack in a piezoelectromagnetic Material

Journal of Shanghai Jiaotong university(Science) 2005年第3期10卷 293-297页

作者：胡克强李国强 School of Mechanical Eng. Tianjin Univ.Tianjin 300072China College of Civil Eng. Tongji Univ. Shanghai 200092

Analytical solutions for a Griffith crack inside an infinite piezoel ectromagnetic medium under combined mechanical-electrical-magnetic loadings are formulated using integral transform method. The singular stress, electric and magnetic fields in the piez oelectromagnetic material are obtained by the theory of linear piezoelectromagneticity. Fourier transforms are used to reduce the mixed boundary value problems of the crack, which is assumed to b e permeable, to dual integral equations. The solution of the dual integral equations is then ex pressed analytically. Expressions for strains, stresses, electric fields, electric displacements, mag netic fields and magnetic inductions in the vicinity of the crack tip are derived. Field intensi ty factors and energy release rate for piezoelectromagnetic material are obtaine d. The stresses, electric displacements and magnetic inductions at the crack tip show the traditional square root singu larities; and the electric field intensity factor (EFIF) and the magnetic field intensity factor (MFIF) are always zero.

关键词： piezoelectromagnetic crack integral transform method permeable

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A Study of New Nondispersive SH-SAWs in Magnetoelectroelastic Medium of Symmetry Class 6 mm

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Open Journal of Acoustics 2015年第3期5卷 95-111页

作者： Aleksey Anatolievich Zakharenko International Institute of Zakharenko Waves (IIZWs) Krasnoyarsk Russia

Two additional solutions of new shear-horizontal surface acoustic waves (SH-SAWs) are found in this theoretical report. The SH-SAW propagation is managed by the free surface of a solid when it has a direct contact with a vacuum. The studied smart solid represents the transversely isotropic piezoelectromagnetic (magnetoelectroelastic or MEE) medium that pertains to crystal symmetry class 6 mm. In the developed theoretical treatment, the solid surface must be mechanically free. Also, the magnetic and electrical boundary conditions at the common interface between a vacuum and the solid surface read: the magnetic and electrical displacements must continue and the same for the magnetic and electrical potentials. To obtain these two new SH-SAW solutions, the natural coupling mechanisms such as eμ-hα and εμ-α2 present in the coefficient of the magnetoelectromechanical coupling (CMEMC) can be exploited. Based on the obtained theoretical results, it is possible that a set of technical devices (filters, sensors, delay lines, lab-on-a-chip, etc.) based on smart MEE media can be developed. It is also blatant that the obtained theoretical results can be helpful for the further theoretical and experimental studies on the propagation of the plate SH-waves and the interfacial SH-waves in the MEE (composite) media. The most important issue can be the influence of the magnetoelectric effect on the SH-wave propagation. One must also be familiar with the fact that the surface, interfacial, and plate SH-waves can frequently represent a common tool for nondestructive testing and evaluation of surfaces, interfaces, and plates, respectively.

关键词： piezoelectromagnetic Medium Magnetoelectric Effect New Shear-Horizontally Polarized SAWs

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