Calculation of the electroelastic Green’s function of the hexagonal infinite medium

@article{Michelitsch1997CalculationOT,
  title={Calculation of the electroelastic Green’s function of the hexagonal infinite medium},
  author={Thomas M. Michelitsch},
  journal={Zeitschrift f{\"u}r Physik B Condensed Matter},
  year={1997},
  volume={104},
  pages={497-503}
}
  • T. Michelitsch
  • Published 1 March 1997
  • Engineering
  • Zeitschrift für Physik B Condensed Matter
The electroelastic 4 × 4 Green’s function of a piezoelectric hexagonal (transversely isotropic) infinitely extended medium is calculated explicitly in closed compact form ((73) ff. and (88) ff., respectively) by using residue calculation. The results can also be derived from Fredholm’s method [2]. In the case of vanishing piezoelectric coupling the derived Green’s function coincides with two well known results: Kröner’s expressions for the elastic Green’s function tensor [4] is reproduced and… 
View on Springer
arxiv.org
14 Citations
Methods Citations
1

14 Citations

Inclusion and inhomogeneity problems in the hexagonal electroelastic medium

The elastic Eshelby tensor plays a fundamental role for elastic inclusion problems [1]. For electroelastic media a generalization exists [2, 3], namely the electroelastic analogue of Eshelby tensor…

Green's function for unbounded piezoelectric material of class 6

Magnetoelectric Green's functions and their application to the inclusion and inhomogeneity problems

Point force and point electric charge in infinite and semi-infinite transversely isotropic piezoelectric solids

Abstract For an infinite three-dimensional transversely isotropic piezoelectric material, Green's functions (which give the fuli set of electromechanical fields due to a point electric charge and an…

Point force and point electric charge applied to the boundary of three-dimensional anisotropic piezoelectric solid

The Green's functions for a three-dimensional semi-infinite fully anisotropic piezoelectric material are derived using the plane wave theory method. The solution gives the complete set of…

Dynamic potentials and Green's functions of a quasi–plane piezoelectric medium with inclusion

The dynamic potentials of a two–dimensional (2D) quasi–plane piezoelectric infinite medium of transversely isotropic symmetry containing an inclusion of arbitrary shape is derived in terms of scalar…

Green’s function for piezoelectric 622 hexagonal crystals

Axisymmetric solutions for the multi-layered transversely isotropic piezoelectric medium

Normal point force and point electric charge in a piezoelectric transversely isotropic functionally graded half-space

Normal point force and point electric charge acting on surface of a transversely isotropic piezoelectric half-space with a functionally graded transversely isotropic piezoelectric coating are…

Normal point force and point electric charge in a piezoelectric transversely isotropic functionally graded half-space

Normal point force and point electric charge acting on surface of a transversely isotropic piezoelectric half-space with a functionally graded transversely isotropic piezoelectric coating are…

6 References

Ceram

  • Soc., 79 [10], 2563
  • 1996

Phys

  • Stat. Sol. (b) 61, 411
  • 1974

Engn

  • Sci. 32, No. 1, 119
  • 1994

Int

  • J. Solids Structures 29, No. 3, 293
  • 1992

Thompson ( Lord Kelvin ) , Mathematical and Physical Systems , Cambridge University Press ( 1882 ) . [ 2 ] I . Fredholm

    Engng 4

    • 1169
    • 1994