Saint-Venant decay analysis of FGPM laminates and dissimilar piezoelectric laminates

Mechanics of Materials

Volumn 39, Issue 12, 2007, Pages 1053-1065

  He, Xiaoqiao ^a   Wang, Jian Shan ^b   Qin, Qing Hua ^c  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b TIANJIN UNIVERSITY   (China)

^c AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

Functionally graded piezoelectric material; Hamiltonian system; Saint Venant decay; State space formulation

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; LAMINATES; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PIEZOELECTRIC MATERIALS; STATE SPACE METHODS;

DECAY RATE; HAMILTONIAN SYSTEM; SAINT-VENANT DECAY; STATE SPACE FORMULATION;

FUNCTIONALLY GRADED MATERIALS;

EID: 34548294262     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2007.05.006     Document Type: Article

References (22)

1. Batra R.C., and Yang J.S. Saint-Venant's principle in linear piezoelectricity. Journal of Elasticity 38 (1995) 209-218
2. Batra R.C., and Zhong X. Saint-Venant's principles for a helical piezoelectric body. Journal of Elasticity 43 (1996) 69-79
3. Bian W.F., Sun F., and Wang B. Basic equations of electro-mechanical coupling problem in the Hamiltonian system. Chinese Journal of Computational Mechanics 22 (2005) 411-414
4. Borrelli A., Horgan C.O., and Patria M.C. Saint-Venant's principle for anti-plane shear deformations of linear piezoelectric materials. SIAM Journal of Applied Mathematics 62 (2002) 2027-2044
5. Borrelli A., Horgan C.O., and Patria M.C. 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
6. Borrelli A., Horgan C.O., and Patria M.C. Saint-Venant end effects for plane deformation of linear piezoelectric solids. International Journal of Solids and Structures 43 (2006) 943-956
7. Chan A.M., and Horgan C.O. End effects in anti-plane shear for an inhomogeneous isotropic linearly elastic semi-infinite strip. Journal of Elasticity 51 3 (1998) 227-242
8. Horgan C.O. Recent developments concerning Saint-Venant's principle: an update. Applied Mechanics Reviews 42 11 (1989) s101-s111
9. Horgan C.O. Anti-plane shear deformations in linear and nonlinear solid mechanics. SIAM Review 37 (1995) 53-81
10. Horgan C.O. Recent developments concerning Saint-Venant's principle: a second update. Applied Mechanics Reviews 42 10 (1996) 295-303
11. Horgan C.O., and Quintanilla R. Spatial decay of transient end effects in functionally graded heat conducting materials. Quarterly of Applied Mathematics 59 3 (2001) 529-542
12. Horgan C.O., and Quintanilla R. Saint-Venant end effects in antiplane shear for functionally graded linearly elastic materials. Mathematics and Mechanics of Solids 6 2 (2001) 115-132
13. Qin Q.H. Fracture Mechanics of Piezoelectric Materials (2001), WIT Press, Southampton
14. Ruan X.P., Danforth S.C., Safari A., and Chou T. Saint-Venant end effects in piezoceramic materials. International Journal of Solids and Structures 37 (2000) 2625-2637
15. Scalpato M.R., and Horgan C.O. Saint-Venant decay rates for an isotropic inhomogeneous linearly elastic solid in anti-plane shear. Journal of Elasticity 48 2 (1997) 145-166
16. Tarn J.Q., and Huang L.J. Saint-Venant end effects in multilayered piezoelectric laminates. International Journal of Solids and Structures 39 (2002) 4979-4998
17. Wang J.S., and Qin Q.H. A symplectic model for piezoelectric wedges and its application to analysis of electroelastic singularities. Philosophical Magazine 87 2 (2007) 225-251
18. Xu X.S., Zhong W.X., and Zhang H.W. The Saint-Venant problem and principle in elasticity. International Journal of Solids and Structures 34 (1997) 2815-2827
19. Yao W.A. Symplectic solution system and Saint-Venant principle on anti-plane problem of magnetoelectroelastic solids. Journal of Dalian University of Technology 44 5 (2004) 630-633
20. Yao W.A., and Zhong W.X. Symplectic Elasticity (2002), Higher Education press (in Chinese)
21. Zhang H.W., and Zhong W.X. Hamiltonian principle based stress singularity analysis near crack corners of multi-material junctions. International Journal of Solids and Structures 40 (2003) 493-510
22. Zhong W.X. A New Methodology for Theory of Elasticity (1995), Dalian University of Technology Press (in Chinese)