136
6 Nonlinear Analysis of Piezoceramic Laminated Structures
15. G. Laschet, J.P. Jeusette, Postbuckling finite element analysis of composite panels. Compos.
Struct. 14, 35–48 (1990)
16. B. Brank, D. Peri´ c, B. Damjani´ c, On implementation of a nonlinear four node shell finite
element for thin multilayered elastic shells. Comput. Mech. 16, 341–359 (1995)
17. S. Yi, S.F. Ling, M. Ying, Large deformation finite element analyses of composite structures
integrated with piezoelectric sensors and actuators. Finite Elem. Anal. Des. 35, 1–15 (2000)
18. S. Lentzen, R. Schmidt, A geometrically nonlinear finite element for transient analysis of
piezolaminated shells, in Proceedings Fifth EUROMECH Nonlinear Dynamics Conference
(Eindhoven, Netherlands, 7–12 August 2005), pp. 2492–2500
19. S.Q. Zhang, R. Schmidt, Large rotation FE transient analysis of piezolaminated thin-walled
smart structures. Smart Mater. Struct. 22, 105025 (2013)
20. H.S. Tzou, R. Ye, Analysis of piezoelastic structures with laminated piezoelectric triangle shell
elements. AIAA J. 34, 110–115 (1996)
21. K.Y. Sze, L.Q. Yao, Modeling smart structures with segmented piezoelectric sensors and actuators. J. Sound Vib. 235, 495–520 (2000)
22. Q.M. Wang, Q. Zhang, B. Xu, R. Liu, L.E. Cross, Nonlinear piezoelectric behavior of ceramic
bending mode actuators under strong electric fields. J. Appl. Phys. 86(6), 3352–3360 (1999)
23. S.Q. Zhang, G.Z. Zhao, S.Y. Zhang, R. Schmidt, X.S. Qin, Geometrically nonlinear FE analysis
of piezoelectric laminated composite structures under strong driving electric field. Compos.
Struct. 181, 112–120 (2017)
24. S. Kapuria, M.Y. Yasin, A nonlinear efficient layerwise finite element model for smart piezolaminated composites under strong applied electric field, in Smart Materials and Structures
(2013)
25. L.Q. Yao, J.G. Zhang, L. Lu, M.O. Lai, Nonlinear extension and bending of piezoelectric
laminated plate under large applied field actuation. Smart Mater. Struct. 13, 404–414 (2004)
26. S.Q. Zhang, Z.X. Wang, X.S. Qin, G.Z. Zhao, R. Schmidt, Geometrically nonlinear analysis of
composite laminated structures with multiple macro-fiber composite (MFC) actuators. Compos.
Struct. 150, 62–72 (2016)
6 Nonlinear Analysis of Piezoceramic Laminated Structures
15. G. Laschet, J.P. Jeusette, Postbuckling finite element analysis of composite panels. Compos.
Struct. 14, 35–48 (1990)
16. B. Brank, D. Peri´ c, B. Damjani´ c, On implementation of a nonlinear four node shell finite
element for thin multilayered elastic shells. Comput. Mech. 16, 341–359 (1995)
17. S. Yi, S.F. Ling, M. Ying, Large deformation finite element analyses of composite structures
integrated with piezoelectric sensors and actuators. Finite Elem. Anal. Des. 35, 1–15 (2000)
18. S. Lentzen, R. Schmidt, A geometrically nonlinear finite element for transient analysis of
piezolaminated shells, in Proceedings Fifth EUROMECH Nonlinear Dynamics Conference
(Eindhoven, Netherlands, 7–12 August 2005), pp. 2492–2500
19. S.Q. Zhang, R. Schmidt, Large rotation FE transient analysis of piezolaminated thin-walled
smart structures. Smart Mater. Struct. 22, 105025 (2013)
20. H.S. Tzou, R. Ye, Analysis of piezoelastic structures with laminated piezoelectric triangle shell
elements. AIAA J. 34, 110–115 (1996)
21. K.Y. Sze, L.Q. Yao, Modeling smart structures with segmented piezoelectric sensors and actuators. J. Sound Vib. 235, 495–520 (2000)
22. Q.M. Wang, Q. Zhang, B. Xu, R. Liu, L.E. Cross, Nonlinear piezoelectric behavior of ceramic
bending mode actuators under strong electric fields. J. Appl. Phys. 86(6), 3352–3360 (1999)
23. S.Q. Zhang, G.Z. Zhao, S.Y. Zhang, R. Schmidt, X.S. Qin, Geometrically nonlinear FE analysis
of piezoelectric laminated composite structures under strong driving electric field. Compos.
Struct. 181, 112–120 (2017)
24. S. Kapuria, M.Y. Yasin, A nonlinear efficient layerwise finite element model for smart piezolaminated composites under strong applied electric field, in Smart Materials and Structures
(2013)
25. L.Q. Yao, J.G. Zhang, L. Lu, M.O. Lai, Nonlinear extension and bending of piezoelectric
laminated plate under large applied field actuation. Smart Mater. Struct. 13, 404–414 (2004)
26. S.Q. Zhang, Z.X. Wang, X.S. Qin, G.Z. Zhao, R. Schmidt, Geometrically nonlinear analysis of
composite laminated structures with multiple macro-fiber composite (MFC) actuators. Compos.
Struct. 150, 62–72 (2016)