The state vector methods for space axisymmetric problems in multilayered piezoelectric media

作者: Jianguo Wang , Shisheng Fang , Linfeng Chen

DOI: 10.1016/S0020-7683(02)00267-6

关键词:

摘要: Abstract The state vector equations for space axisymmetric problems of transversely isotropic piezoelectric media are established from the basic equations. Using Hankel transform, reduced to a system ordinary differential An analytical solution in transform is presented form product initial and transfer matrix. matrices given three distinct eigenvalues. Applications solutions discussed. semi-infinite subjected concerted point loads on surface z=0 space. matrix continuity conditions at layer interfaces, general formulation N-layered given. A selected set numerical layered solid.

参考文章(18)
Francisco G. Benitez, Ares J. Rosakis, Three-dimensional elastostatics of a layer and a layered medium Journal of Elasticity. ,vol. 18, pp. 3- 50 ,(1987) , 10.1007/BF00155435
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
H. Bufler, Theory of elasticity of a multilayered medium Journal of Elasticity. ,vol. 1, pp. 125- 143 ,(1971) , 10.1007/BF00046464
Jianguo Wang, Shisheng Fang, The state vector methods of axisymmetric problems for multilayered anisotropic elastic system Mechanics Research Communications. ,vol. 26, pp. 673- 678 ,(1999) , 10.1016/S0093-6413(99)00077-4
Wang Zi-kung, Chen Geng-chao, A GENERAL SOLUTION AND THE APPLICATION OFSPACE AXISYMMETRIC PROBLEM INPIEZOELECTRIC MATE RIAL Applied Mathematics and Mechanics-english Edition. ,vol. 15, pp. 615- 626 ,(1994) , 10.1007/BF02451611
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
R.K.N.D. Rajapakse, Plane strain/stress solutions for piezoelectric solids Composites Part B: Engineering. ,vol. 28, pp. 385- 396 ,(1997) , 10.1016/S1359-8368(96)00057-1
Jong S. Lee, Long Z. Jiang, Exact electroelastic analysis of piezoelectric laminae via state space approach International Journal of Solids and Structures. ,vol. 33, pp. 977- 990 ,(1996) , 10.1016/0020-7683(95)00083-6
Martin L. Dunn, H.A. Wienecke, Green's functions for transversely isotropic piezoelectric solids International Journal of Solids and Structures. ,vol. 33, pp. 4571- 4581 ,(1996) , 10.1016/0020-7683(95)00282-0
Tungyang Chen, Green's functions and the non-uniform transformation problem in a piezo electric medium Mechanics Research Communications. ,vol. 20, pp. 271- 278 ,(1993) , 10.1016/0093-6413(93)90069-Z