Structural Engineering and Mechanics

  • 제19권4호
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  • Pages.441-457
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  • 2005
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Transient wave propagation in piezoelectric hollow spheres subjected to thermal shock and electric excitation

  • Dai, H.L. (Department of Engineering Mechanics, The School of Civil Engineering and Mechanics, Shanghai Jiao Tong University) ;
  • Wang, X. (Department of Engineering Mechanics, The School of Civil Engineering and Mechanics, Shanghai Jiao Tong University)
  • 투고 : 2004.05.25
  • 심사 : 2004.11.09
  • 발행 : 2005.03.10
⟨ 이전 논문 다음 논문 ⟩

초록

An analytical method is presented to solve the problem of transient wave propagation in a transversely isotropic piezoelectric hollow sphere subjected to thermal shock and electric excitation. Exact expressions for the transient responses of displacements, stresses, electric displacement and electric potentials in the piezoelectric hollow sphere are obtained by means of Hankel transform, Laplace transform, and inverse transforms. Using Hermite non-linear interpolation method solves Volterra integral equation of the second kind involved in the exact expression, which is caused by interaction between thermo-elastic field and thermo-electric field. Thus, an analytical solution for the problem of transient wave propagation in a transversely isotropic piezoelectric hollow sphere is obtained. Finally, some numerical results are carried out, and may be used as a reference to solve other transient coupled problems of thermo-electro-elasticity.

키워드

참고문헌

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피인용 문헌

  1. Analytical solutions of stresses in functionally graded piezoelectric hollow structures vol.150, pp.15-16, 2010, https://doi.org/10.1016/j.ssc.2010.01.028
  2. Electromagnetoelastic behaviors of functionally graded piezoelectric solid cylinder and sphere vol.23, pp.1, 2007, https://doi.org/10.1007/s10409-006-0047-0
  3. Analytical and numerical modeling of resonant piezoelectric devices in China-A review vol.51, pp.12, 2008, https://doi.org/10.1007/s11433-008-0188-1
  4. Stress-focusing Effect in a Uniformly Heated Transversely Isotropic Piezoelectric Solid Sphere vol.20, pp.3, 2007, https://doi.org/10.1177/0892705707076719
  5. Exact solutions for functionally graded pressure vessels in a uniform magnetic field vol.43, pp.18-19, 2006, https://doi.org/10.1016/j.ijsolstr.2005.08.019
  6. Thermal stresses in an incompressible FGM spherical shell with temperature-dependent material properties vol.120, 2017, https://doi.org/10.1016/j.tws.2017.09.005
  7. Nonaxisymmetric vibrations of radially polarized hollow cylinders made of functionally gradient piezoelectric materials vol.24, pp.4-6, 2012, https://doi.org/10.1007/s00161-012-0239-8
  8. Exact Electromagnetothermoelastic Solution for a Transversely Isotropic Piezoelectric Hollow Sphere Subjected to Arbitrary Thermal Shock vol.102, pp.1, 2011, https://doi.org/10.1007/s10659-010-9263-8
  9. Electromagnetotransient stress and perturbation of magnetic field vector in transversely isotropic piezoelectric solid spheres vol.129, pp.1-3, 2006, https://doi.org/10.1016/j.mseb.2005.12.020
  10. Nonaxisymmetric electroelastic vibrations of a hollow sphere made of functionally gradient piezoelectric material vol.26, pp.6, 2014, https://doi.org/10.1007/s00161-014-0337-x
  11. Electromagnetoelastic Dynamic Response of Transversely Isotropic Piezoelectric Hollow Spheres in a Uniform Magnetic Field vol.74, pp.1, 2007, https://doi.org/10.1115/1.2178361
  12. Forced Axisymmetric Vibrations of an Electrically Excited Hollow Sphere Made of a Continuously Inhomogeneous Piezoceramic Material* vol.56, pp.6, 2005, https://doi.org/10.1007/s10778-021-01044-y