Saint-Venant end effects for plane deformations of linear piezoelectric solids

International Journal of Solids and Structures

Volumn 43, Issue 5, 2006, Pages 943-956

  Borrelli, Alessandra ^a   Horgan, Cornelius O ^b   Patria, M Cristina ^c  

^a UNIVERSITY OF FERRARA   (Italy)

^b UNIVERSITY OF VIRGINIA   (United States)

^c UNIVERSITY OF UDINE   (Italy)

Author keywords

Linear piezoelectric materials; Plane deformations; Saint Venant end effects

Indexed keywords

ANISOTROPY; CRYSTAL STRUCTURE; DEFORMATION; DIFFERENTIAL EQUATIONS; ELECTRIC FIELDS;

ELASTIC ISOTROPIC MATERIALS; LINEAR PIEZOELECTRIC MATERIALS; PLANE DEFORMATIONS; SAINT-VENANT END EFFECTS;

PIEZOELECTRIC MATERIALS;

EID: 29244467714     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2005.03.058     Document Type: Article

References (29)

1. R.C. Batra, and J.S. Yang Saint-Venant's principle in linear piezoelectricity Journal of Elasticity 38 1995 209 218
2. R.C. Batra, and X. Zhong Saint-Venant's principle for a helical piezoelectric body Journal of Elasticity 43 1996 69 79
3. P. Bisegna The Saint-Venant problem for monoclinic piezoelectric cylinders Zeitschrift fur Angewandte Mathematik und Mechanik (ZAMM) 18 1998 147 165
4. A. Borrelli, and M.C. Patria Saint-Venant's principle for a piezoelectric body SIAM Journal on Applied Mathematics 59 1999 1098 1111
5. A. Borrelli, C.O. Horgan, and M.C. Patria Saint-Venant end effects in anti-plane shear for classes of linear piezoelectric materials Journal of Elasticity 64 2001 217 236
6. A. Borrelli, C.O. Horgan, and M.C. Patria Saint-Venant's principle for anti-plane shear deformations of linear piezoelectric materials SIAM Journal on Applied Mathematics 62 2002 2027 2044
7. A. Borrelli, C.O. Horgan, and M.C. Patria End effects for pre-stressed and pre-polarized piezoelectric solids in anti-plane shear Zeitschrift fur Angewandte Mathematik und Physik (ZAMP) 54 2003 797 806
8. A. Borrelli, C.O. Horgan, and M.C. Patria Exponential decay of end effects in anti-plane shear for functionally graded piezoelectric materials Proceedings of the Royal Society of London, Series A 460 2004 1193 1212
9. I. Choi, and C.O. Horgan Saint-Venant's principle and end effects in anisotropic elasticity Journal of Applied Mechanics 44 1977 424 430
10. E.C. Crafter, R.M. Heise, C.O. Horgan, and J.G. Simmonds The eigenvalues for a self-equilibrated semi-infinite anisotropic elastic strip Journal of Applied Mechanics 60 1993 276 281
11. A.C. Eringen, and G.A. Maugin Electrodynamics of Continua vol. 1 1990 Springer
12. H. Fan Decay rates in a piezoelectric strip International Journal of Engineering Science 33 1995 1095 1103
13. J.N. Flavin, and S. Rionero Qualitative methods for partial differential equations 1996 CRC Press Boca Raton
14. R.D. Gregory The traction boundary-value problem for the elastostatic semi-infinite strip: existence of solution and completeness of the Papkovich-Fadle eigenfunctions Journal of Elasticity 10 1980 295 327
15. yy(0, y) are prescribed Journal of Elasticity 10 1980 57 80
16. C.O. Horgan Recent developments concerning Saint-Venant's principle: an update Applied Mechanics Reviews 42 1989 295 303
17. C.O. Horgan Anti-plane shear deformations in linear and nonlinear solid mechanics SIAM Review 37 1995 53 81
18. C.O. Horgan Recent developments concerning Saint-Venant's principle: a second update Applied Mechanics Reviews 49 1996 S101 S111
19. C.O. Horgan Decay estimates for boundary-value problems in linear and nonlinear continuum mechanics R. Russo Mathematical problems in elasticity Ser. Adv. Math. Appl. Sci. vol. 38 1996 World Scientific Singapore 47 89
20. C.O. Horgan, and L.A. Carlsson Saint-Venant's principle in anisotropic elasticity A. Kelly C. Zweben Comprehensive composite materials vol. 5 2000 Elsevier London 5 21
21. C.O. Horgan, and J.K. Knowles Recent developments concerning Saint-Venant's principle T.Y. Wu J.W. Hutchinson Advances in applied mechanics vol. 23 1983 Academic Press New York 179 269
22. C.O. Horgan, and K.L. Miller Anti-plane shear deformations for homogeneous and inhomogeneous anisotropic linearly elastic solids Journal of Applied Mechanics 61 1994 23 29
23. C.O. Horgan, and K.L. Miller End effects for plane deformations of an elastic anisotropic semi-infinite strip Journal of Elasticity 38 1995 261 316
24. T. Ikeda Fundamentals of piezoelectricity 1996 Oxford University Press Oxford
25. X. Ruan, S.C. Danforth, A. Safari, and T. Chou Saint-Venant end effects in piezoelectric materials International Journal of Solids and Structures 37 2000 2625 2637
26. H. Sosa Plane problems in piezoelectric media with defects International Journal of Solids and Structures 28 1991 491 505
27. J.Q. Tarn, and L.J. Huang Saint-Venant end effects in multilayered piezoelectric laminates International Journal of Solids and Structures 39 2002 4979 4998
28. S.P. Timoshenko, and J.N. Goodier Theory of elasticity third ed. 1970 McGraw Hill New York
29. T.C.T. Ting Anisotropic elasticity: theory and applications 1996 Oxford University Press Oxford