References
53
6. J.M.S. Moita, V.M.F. Correia, P.G. Martins, C.M.M. Soares, C.A.M. Soares, Optimal design in
vibration control of adaptive structures using a simulated annealing algorithm. Compos. Struct.
75, 79–87 (2006)
7. H.Y. Zhang, Y.P. Shen, Vibration suppression of laminated plates with 1–3 piezoelectric fiberreinforced composite layers equipped with integrated electrodes. Compos. Struct. 79, 220–228
(2007)
8. R.D. Mindlin, Forced thickness-shear and flexural vibrations of piezoelectric crystal plates. J.
Appl. Phys. 23, 83–88 (1952)
9. A.E. Green, W. Zerna, Theoretical Elasticity, 2nd edn. (Clarendon Press, Oxford, 1968)
10. A.E. Green, J.E. Adkins, Large Elastic Deformations, 2nd edn. (Clarendon Press, Oxford,
1970)
11. Y. Basar, D. Weichert, Nonlinear Continuum Mechanics of Solids: Fundamental mathematical
and physical concepts (Springer, Berlin Germany, 1999)
12. L.M. Habip, Theory of elastic shells in the reference state. Ingenieur-Archiv 34, 228–237
(1965)
13. S.Q. Zhang, R. Schmidt, Large rotation theory for static analysis of composite and piezoelectric
laminated thin-walled structures. Thin-Walled Struct. 78, 16–25 (2014)
14. S.Q. Zhang, R. Schmidt, Large rotation FE transient analysis of piezolaminated thin-walled
smart structures. Smart Mater. Struct. 22, 105025 (2013)
15. I. Kreja, R. Schmidt, Large rotations in first-order shear deformation FE analysis of laminated
shells. Int. J. Non-Linear Mech. 41, 101–123 (2006)
16. I. Kreja, Geometrically non-linear analysis of layered composite plates and shells. Habilitation
Thesis, Published as Monografie 83, Politechnika Gda´ nska (2007)
17. R. Schmidt, J.N. Reddy, A refined small strain and moderate rotation theory of elastic
anisotropic shells. J. Appl. Mech. 55, 611–617 (1988)
18. L. Librescu, R. Schmidt, Refined theories of elastic anisotropic shells accounting for small
strains and moderate rotations. Int. J. Non-Linear Mech. 23, 217–229 (1988)
19. R. Schmidt, D. Weichert, A refined theory of elastic-plastic shells at moderate rotations. ZAMM
· Z. Angew. Math. Mech. 69, 11–21 (1989)
20. A.F. Palmerio, J.N. Reddy, R. Schmidt, On a moderate rotation theory of laminated anisotropic
shells - part 1: theory. Int. J. Non-Linear Mech. 25, 687–700 (1990)
21. A.F. Palmerio, J.N. Reddy, R. Schmidt, On a moderate rotation theory of laminated anisotropic
shells - part 2: finite element analysis. Int. J. Non-Linear Mech. 25, 701–714 (1990)
22. I. Kreja, R. Schmidt, J.N. Reddy, Finite elements based on a first-order shear deformation
moderate rotation shell theory with applications to the analysis of composite structures. Int. J.
Non-Linear Mech. 32, 1123–1142 (1996)
53
6. J.M.S. Moita, V.M.F. Correia, P.G. Martins, C.M.M. Soares, C.A.M. Soares, Optimal design in
vibration control of adaptive structures using a simulated annealing algorithm. Compos. Struct.
75, 79–87 (2006)
7. H.Y. Zhang, Y.P. Shen, Vibration suppression of laminated plates with 1–3 piezoelectric fiberreinforced composite layers equipped with integrated electrodes. Compos. Struct. 79, 220–228
(2007)
8. R.D. Mindlin, Forced thickness-shear and flexural vibrations of piezoelectric crystal plates. J.
Appl. Phys. 23, 83–88 (1952)
9. A.E. Green, W. Zerna, Theoretical Elasticity, 2nd edn. (Clarendon Press, Oxford, 1968)
10. A.E. Green, J.E. Adkins, Large Elastic Deformations, 2nd edn. (Clarendon Press, Oxford,
1970)
11. Y. Basar, D. Weichert, Nonlinear Continuum Mechanics of Solids: Fundamental mathematical
and physical concepts (Springer, Berlin Germany, 1999)
12. L.M. Habip, Theory of elastic shells in the reference state. Ingenieur-Archiv 34, 228–237
(1965)
13. S.Q. Zhang, R. Schmidt, Large rotation theory for static analysis of composite and piezoelectric
laminated thin-walled structures. Thin-Walled Struct. 78, 16–25 (2014)
14. S.Q. Zhang, R. Schmidt, Large rotation FE transient analysis of piezolaminated thin-walled
smart structures. Smart Mater. Struct. 22, 105025 (2013)
15. I. Kreja, R. Schmidt, Large rotations in first-order shear deformation FE analysis of laminated
shells. Int. J. Non-Linear Mech. 41, 101–123 (2006)
16. I. Kreja, Geometrically non-linear analysis of layered composite plates and shells. Habilitation
Thesis, Published as Monografie 83, Politechnika Gda´ nska (2007)
17. R. Schmidt, J.N. Reddy, A refined small strain and moderate rotation theory of elastic
anisotropic shells. J. Appl. Mech. 55, 611–617 (1988)
18. L. Librescu, R. Schmidt, Refined theories of elastic anisotropic shells accounting for small
strains and moderate rotations. Int. J. Non-Linear Mech. 23, 217–229 (1988)
19. R. Schmidt, D. Weichert, A refined theory of elastic-plastic shells at moderate rotations. ZAMM
· Z. Angew. Math. Mech. 69, 11–21 (1989)
20. A.F. Palmerio, J.N. Reddy, R. Schmidt, On a moderate rotation theory of laminated anisotropic
shells - part 1: theory. Int. J. Non-Linear Mech. 25, 687–700 (1990)
21. A.F. Palmerio, J.N. Reddy, R. Schmidt, On a moderate rotation theory of laminated anisotropic
shells - part 2: finite element analysis. Int. J. Non-Linear Mech. 25, 701–714 (1990)
22. I. Kreja, R. Schmidt, J.N. Reddy, Finite elements based on a first-order shear deformation
moderate rotation shell theory with applications to the analysis of composite structures. Int. J.
Non-Linear Mech. 32, 1123–1142 (1996)