Dynamic Antiplane Behavior for a Quarter Infinite Piezoelectric Medium with a Subsurface Circular Inclusion

Abstract:

Dynamic antiplane behaviors are investigated theoretically in this paper for a quarter infinite piezoelectric medium with a subsurface circular inclusion. Based on complex variable and mirror image method, the expressions are obtained on dynamic stress concentration factor (DSCF) and electric field intensity concentration factor (EFICF) at the inclusion’s edge caused by the interaction between the inclusion and the right angle edge under time-harmonic anti-plane shearing. While some calculating cases are plotted, so as to show how the frequencies of incident wave, the piezoelectric material’s parameters and the structure’s geometry influence on DSCF and EFICF. The calculating results indicate that dynamic analyses are important to a quarter-infinite piezoelectric medium with defects at the surface vicinity.

• Periodical: Key Engineering Materials (Volumes 488-489)
• Pages: 206-209
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.488-489.206
• Online since: September 2011
• Authors: Tian Shu Song, Dong Li, Tammam Merhej
• Keywords: Dynamic Antiplane Behavior, Dynamic Stress Concentration Factor (DSCF), Electric Field Intensity Concentration Factor, Quarter Infinite Piezoelectric Medium, Subsurface Circular Inclusion

References

[1] Y. Shindo, H. Moribayashi and F. Narita: Scattering of antiplane shear waves by a circular piezoelectric inclusion embedded in a piezoelectric medium subjected to a steady-state electrical load, ZAMM .Z. Angew. Math. Mech., 82(1): 43-49(2002).

DOI: 10.1002/1521-4001(200201)82:1<43::aid-zamm43>3.0.co;2-z

[2] W. Feng, L. Wang, Z. Jiang and Y, Zhao: Shear wave scattering from a partially debonded piezoelectric cylindrical inclusion, Acta Mechanica Solida Sinica, 17(3): 258-269(2004).

[3] F.M. Chen, M.H. Shen and S.N. Chen: Piezoelastic study on singularities interacting with circular and straight interfaces, Int. J. of Solids and Structures, 43: 5541-5554(2006).

DOI: 10.1016/j.ijsolstr.2005.06.052

[4] H.M. Shodja, M. Ghazisaeidi: Effects of couple stresses on anti-plane problems of piezoelectric media with inhomogeneities, European J. of Mechanics A/Solids, 26: 647-658(2007).

DOI: 10.1016/j.euromechsol.2006.09.001

[5] B.H. Yang, C.F. Gao and N. Noda: Interactions between N circular cylindrical inclusions in a piezoelectric matrix, Acta Mechanica, 197(1-2): 31-42(2008).

DOI: 10.1007/s00707-007-0505-1

[6] Y.E. Pak: Elliptical inclusion problem in antiplane piezoelectricity: Implications for fracture mechanics, Int. J. of Engineering Science, 48: 209-222(2010).

DOI: 10.1016/j.ijengsci.2009.08.004

[7] Y. Shi, H. Qi and Z.L. Yang: Scattering of SH-wave by circular cavity in right-angle plane and seismic ground motion, J. of Applied Mechanics, 25(3): 392-397(2008).