Green's functions for transversely isotropic piezoelectric solids

作者: Martin L. Dunn , H.A. Wienecke

DOI: 10.1016/0020-7683(95)00282-0

关键词:

摘要: Closed-form expressions are obtained for the infinite-body Green's functions a transversely isotropic piezoelectric medium. The four represent coupled elastic and electric response to an applied point force or charge. using formulation where three displacements potential derivable from two functions. When coupling is absent, results reduce those uncoupled elasticity electrostatics.

参考文章(22)
Ekkehart Kr�ner, Das Fundamentalintegral der anisotropen elastischen Differentialgleichungen European Physical Journal. ,vol. 136, pp. 402- 410 ,(1953) , 10.1007/BF01343450
Tungyang Chen, Fang-Zi Lin, Numerical evaluation of derivatives of the anisotropic piezoelectric Green's functions Mechanics Research Communications. ,vol. 20, pp. 501- 506 ,(1993) , 10.1016/0093-6413(93)90010-L
T. Mura, N. Kinoshita, GREEN'S FUNCTIONS FOR ANISOTROPIC ELASTICITY. Physica Status Solidi B-basic Solid State Physics. ,vol. 47, pp. 607- 618 ,(1971) , 10.1002/PSSB.2220470226
J. R. WILLIS, THE ELASTIC INTERACTION ENERGY OF DISLOCATION LOOPS IN ANISOTROPIC MEDIA Quarterly Journal of Mechanics and Applied Mathematics. ,vol. 18, pp. 419- 433 ,(1965) , 10.1093/QJMAM/18.4.419
Wang Biao, Three-dimensional analysis of an ellipsoidal inclusion in a piezoelectric material International Journal of Solids and Structures. ,vol. 29, pp. 293- 308 ,(1992) , 10.1016/0020-7683(92)90201-4
Wang Zikung, Zheng Bailin, The general solution of three-dimensional problems in piezoelectric media International Journal of Solids and Structures. ,vol. 32, pp. 105- 115 ,(1995) , 10.1016/0020-7683(94)00101-2
T. Mura, D. M. Barnett, Micromechanics of defects in solids ,(1982)
D.J. Bacon, D.M. Barnett, R.O. Scattergood, Anisotropic continuum theory of lattice defects Progress in Materials Science. ,vol. 23, pp. 51- 262 ,(1980) , 10.1016/0079-6425(80)90007-9
Y. Benveniste, The determination of the elastic and electric fields in a piezoelectric inhomogeneity Journal of Applied Physics. ,vol. 72, pp. 1086- 1095 ,(1992) , 10.1063/1.351784