Numerical analysis of end effects in laminated piezoelectric circular cylinders

Computer Methods in Applied Mechanics and Engineering

Volumn 196, Issue 17-20, 2007, Pages 2173-2186

  Liu, C W ^a   Taciroglu, E ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

End effects; Piezoelectricity; Saint Venant's principle

Indexed keywords

ALGEBRA; DIFFERENTIATION (CALCULUS); EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC POTENTIAL; FINITE ELEMENT METHOD; NUMERICAL ANALYSIS; VOLTAGE MEASUREMENT;

ALGEBRAIC EIGENSYSTEM; ELECTRIC DISPLACEMENTS; LAMINATED PIEZOELECTRIC CIRCULAR CYLINDERS; SAINT-VENANT'S PRINCIPLE;

PIEZOELECTRICITY;

ALGEBRA; DIFFERENTIATION (CALCULUS); EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC POTENTIAL; FINITE ELEMENT METHOD; NUMERICAL ANALYSIS; PIEZOELECTRICITY; VOLTAGE MEASUREMENT;

EID: 33846922062     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2006.11.012     Document Type: Article

References (27)

1. ANSYS, Coupled-Field Analysis Guide, third ed., ANSYS Release 5.5, September 1998.
2. Bai H., Taciroglu E., Dong S.B., and Shah A.H. Elastodynamic Green's functions for a laminated piezoelectric cylinder. Int. J. Solids Struct. 41 (2004) 6335-6350
3. Batra R.C., and Yang J.S. Saint-Venant's principle in linear piezoelectricity. J. Elasticity 38 (1995) 209-218
4. Berlincourt D.A., Curran D.R., and Jaffe H. Piezoelectric and piezomagnetic materials and their function in transducers. In: Mason W.P. (Ed). Physical Acoustics: Principles and Methods (1964), Academic Press, New York 169-270
5. Borrelli A., Horgan C.O., and Patria M.C. Saint-Venant end effects in anti-plane shear for classes of linear piezoelectric materials. J. Elasticity 64 (2001) 217-236
6. Borrelli A., Horgan C.O., and Patria M.C. Saint-Venant's principle for antiplane shear deformations of linear piezoelectric materials. SIAM J. Appl. Math. 62 (2002) 2027-2044
7. Borrelli A., Horgan C.O., and Patria M.C. End effects for pre-stressed and pre-polarized piezoelectric solids in anti-plane shear. J. Appl. Math. Phys. (ZAMP) 54 (2003) 797-806
8. Borrelli A., Horgan C.O., and Patria M.C. Exponential decay of end effects in anti-plane shear for functionally graded piezoelectric materials. Proc. Roy. Soc. Lond., Ser. A 460 (2004) 1193-1212
9. Borrelli A., Horgan C.O., and Patria M.C. Saint-Venant end effects for plane deformations of linear piezoelectric solids. Int. J. Solids Struct. 43 (2005) 943-956
10. Dong S.B., and Goetschel D.B. Finite element analysis of edge effects in laminated composite plates. ASME J. Appl. Mech. 49 (1980) 129-135
11. Fan H. Decay rates in a piezoelectric strip. Int. J. Engrg. Sci. 33 (1995) 1095-1103
12. Goetschel D.B., and Hu T.H. Quantification of Saint-Venant's principle for a general prismatic member. Comput. Struct. 21 (1985) 869-874
13. Horgan C.O. Recent developments concerning Saint-Venant's principle: an update. Appl. Mech. Rev. 42 (1989) 295-303
14. Horgan C.O. Recent developments concerning Saint-Venant's principle: A second update. Appl. Mech. Rev. 49 (1996) S101-S111
15. Horgan C.O., and Knowles J.K. Recent developments concerning Saint-Venant's principle. Adv. Appl. Mech. 23 (1983) 179-269
16. Johnson M.W., and Little R.W. The semi-infinite strip. Q. Appl. Math. 22 (1965) 335-344
17. Kazic M., and Dong S.B. Analysis of restrained torsion. J. Engrg. Mech. Div. 116 (1990) 870-891
18. Knowles J.K. On Saint-Venant's principle in the two-dimensional linear theory of elasticity. Arch. Ration. Mech. Anal. 21 (1966) 1-22
19. Little R.W., and Childs S.B. Elastostatic boundary region problem in solid cylinders. Q. Appl. Math. 25 (1967) 261-274
20. Miller K.L., and Horgan C.O. Saint-Venant end effects for plane deformations of elastic composites. Mech. Compos. Mater. Struct. 2 (1995) 203-214
21. Ruan X., Danforth S.C., Safari A., and Chou T.W. Saint-Venant end effects in piezoceramic materials. Int. J. Solids Struct. 37 (2000) 2625-2637
22. Taciroglu E., Liu C.W., Dong S.B., and Chun C.K. Analysis of laminated piezoelectric circular cylinders under axisymmetric mechanical and electrical loads with a semi-analytic finite element method. Int. J. Solids Struct. 41 (2004) 5185-5208
23. Taciroglu E., and Liu C.W. Analysis and design of multi-modal piezoelectric layered tubular sensors and actuators. Smart Mater. Struct. 14 (2005) 605-614
24. Tarn J.Q., and Huang L.J. Saint-Venant end effects in multilayered piezoelectric laminates. Int. J. Solids Struct. 39 (2002) 4979-4998
25. Toupin R.A. Saint-Venant's principle. Arch. Ration. Mech. Anal. 18 (1965) 83-96
26. Vel S., and Batra R.C. Analytical solutions of rectangular thick laminated plates subjected to arbitrary boundary conditions. AIAA J. 37 (1999) 1464-1473
27. Vel S., and Batra R.C. The generalized plane strain deformations of thick anisotropic composite laminated plates. Int. J. Solids Struct. 37 (2000) 715-733