References
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133. U. Icardi, M.D. Sciuva, Large-deformation and stress analysis of multilayered plates with
induced-strain actuators. Smart Mater. Struct. 5, 140–164 (1996)
134. 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
135. S. Lentzen, P. Klosowski, R. Schmidt, Geometrically nonlinear finite element simulation of
smart piezolaminated plates and shells. Smart Mater. Struct. 16, 2265–2274 (2007)
136. 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)
137. S.Q. Zhang, R. Schmidt, Static and dynamic FE analysis of piezoelectric integrated thinwalled composite structures with large rotations. Compos. Struct. 112, 345–357 (2014)
138. S.Q. Zhang, R. Schmidt, Large rotation FE transient analysis of piezolaminated thin-walled
smart structures. Smart Mater. Struct. 22, 105025 (2013)
139. J.M.S. Moita, C.M.M. Soares, C.A.M. Soares, Geometrically non-linear analysis of composite
structures with integrated piezoelectric sensors and actuators. Compos. Struct. 57, 253–261
(2002)
140. C.K. Kundu, D.K. Maiti, P.K. Sinha, Post buckling analysis of smart laminated doubly curved
shells. Compos. Struct. 81, 314–322 (2007)
141. P. Dash, B.N. Singh, Nonlinear free vibration of piezoelectric laminated composite plate.
Finite Elem. Anal. Des. 45, 686–694 (2009)
142. M. Amabili, Nonlinear vibrations and stability of laminated shells using a modified first-order
shear deformation theory. Eur. J. Mech./ A Solids 68, 75–87 (2018)
143. M. Amabili, A new third-order shear deformation theory with non-linearities in shear for static
and dynamic analysis of laminated doubly curved shells, in Composite Structures (2015)
144. F. Alijani, M. Amabili, Non-linear static bending and forced vibrations of rectangular plates
retaining non-linearities in rotations and thickness deformation. Int. J. Non-Linear Mech. 67,
394–404 (2014)
145. F. Alijani, M. Amabili, Effect of thickness deformation on large-amplitude vibrations of
functionally graded rectangular plates. Compos. Struct. 113, 89–107 (2014)
146. M. Amabili, A non-linear higher-order thickness stretching and shear deformation theory for
large amplitude vibrations of laminated doubly curved shells. Int. J. Non-Linear Mech. 58,
57–75 (2014)
147. M. Amabili, J.N. Reddy, A new non-linear higher-order shear deformation theory for largeamplitude vibrations of laminated doubly curved shells. Int. J. Non-Linear Mech. 45, 409–418
(2010)
148. J. Chró´ scielewski, P. Klosowski, R. Schmidt, Numerical simulation of geometrically nonlinear flexible beam control via piezoelectric layers. ZAMM · Z. Angew. Math. Mech.
77(Supplement 1), S69–S70 (1997)
149. J. Chró´ scielewski, P. Klosowski, R. Schmidt, Theory and numerical simulation of nonlinear
vibration control of arches with piezoelectric distributed actuators. Mach. Dyn. Probl. 20,
73–90 (1998)
150. J. Chró´ scielewski, R. Schmidt, V.A. Eremeyev, Nonlinear finite element modeling of vibration control of plane rod-type structural members with integrated piezoelectric patches, in
Continuum Mechanics and Thermodynamics, online (2018)
151. S.Q. Zhang, R. Schmidt, Large rotation static and dynamic fe analysis for thin-walled piezolaminated smart structures, in Proceedings of Shell Structures - Theory and Application (SSTA)
2013, ed. by W. Pietraszkiewicz, Gdansk, Poland, 16–18 October 2013 (Taylor & Francis
Group, London, UK, CRC Press/Balkema, Leiden, The Netherlands, 2013), pp. 477–480
152. M.N. Rao, R. Schmidt, Static and dynamic finite rotation FE-analysis of thin-walled structures
with piezoelectric sensor and actuator patches or layers. Smart Mater. Struct. 23, 095006
(2014)
153. M.N. Rao, R. Schmidt, K.U. Schröder, Geometrically nonlinear static FE-simulation of multilayered magneto-electro-elastic composite structures, in Composite Structures (2015)
29
133. U. Icardi, M.D. Sciuva, Large-deformation and stress analysis of multilayered plates with
induced-strain actuators. Smart Mater. Struct. 5, 140–164 (1996)
134. 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
135. S. Lentzen, P. Klosowski, R. Schmidt, Geometrically nonlinear finite element simulation of
smart piezolaminated plates and shells. Smart Mater. Struct. 16, 2265–2274 (2007)
136. 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)
137. S.Q. Zhang, R. Schmidt, Static and dynamic FE analysis of piezoelectric integrated thinwalled composite structures with large rotations. Compos. Struct. 112, 345–357 (2014)
138. S.Q. Zhang, R. Schmidt, Large rotation FE transient analysis of piezolaminated thin-walled
smart structures. Smart Mater. Struct. 22, 105025 (2013)
139. J.M.S. Moita, C.M.M. Soares, C.A.M. Soares, Geometrically non-linear analysis of composite
structures with integrated piezoelectric sensors and actuators. Compos. Struct. 57, 253–261
(2002)
140. C.K. Kundu, D.K. Maiti, P.K. Sinha, Post buckling analysis of smart laminated doubly curved
shells. Compos. Struct. 81, 314–322 (2007)
141. P. Dash, B.N. Singh, Nonlinear free vibration of piezoelectric laminated composite plate.
Finite Elem. Anal. Des. 45, 686–694 (2009)
142. M. Amabili, Nonlinear vibrations and stability of laminated shells using a modified first-order
shear deformation theory. Eur. J. Mech./ A Solids 68, 75–87 (2018)
143. M. Amabili, A new third-order shear deformation theory with non-linearities in shear for static
and dynamic analysis of laminated doubly curved shells, in Composite Structures (2015)
144. F. Alijani, M. Amabili, Non-linear static bending and forced vibrations of rectangular plates
retaining non-linearities in rotations and thickness deformation. Int. J. Non-Linear Mech. 67,
394–404 (2014)
145. F. Alijani, M. Amabili, Effect of thickness deformation on large-amplitude vibrations of
functionally graded rectangular plates. Compos. Struct. 113, 89–107 (2014)
146. M. Amabili, A non-linear higher-order thickness stretching and shear deformation theory for
large amplitude vibrations of laminated doubly curved shells. Int. J. Non-Linear Mech. 58,
57–75 (2014)
147. M. Amabili, J.N. Reddy, A new non-linear higher-order shear deformation theory for largeamplitude vibrations of laminated doubly curved shells. Int. J. Non-Linear Mech. 45, 409–418
(2010)
148. J. Chró´ scielewski, P. Klosowski, R. Schmidt, Numerical simulation of geometrically nonlinear flexible beam control via piezoelectric layers. ZAMM · Z. Angew. Math. Mech.
77(Supplement 1), S69–S70 (1997)
149. J. Chró´ scielewski, P. Klosowski, R. Schmidt, Theory and numerical simulation of nonlinear
vibration control of arches with piezoelectric distributed actuators. Mach. Dyn. Probl. 20,
73–90 (1998)
150. J. Chró´ scielewski, R. Schmidt, V.A. Eremeyev, Nonlinear finite element modeling of vibration control of plane rod-type structural members with integrated piezoelectric patches, in
Continuum Mechanics and Thermodynamics, online (2018)
151. S.Q. Zhang, R. Schmidt, Large rotation static and dynamic fe analysis for thin-walled piezolaminated smart structures, in Proceedings of Shell Structures - Theory and Application (SSTA)
2013, ed. by W. Pietraszkiewicz, Gdansk, Poland, 16–18 October 2013 (Taylor & Francis
Group, London, UK, CRC Press/Balkema, Leiden, The Netherlands, 2013), pp. 477–480
152. M.N. Rao, R. Schmidt, Static and dynamic finite rotation FE-analysis of thin-walled structures
with piezoelectric sensor and actuator patches or layers. Smart Mater. Struct. 23, 095006
(2014)
153. M.N. Rao, R. Schmidt, K.U. Schröder, Geometrically nonlinear static FE-simulation of multilayered magneto-electro-elastic composite structures, in Composite Structures (2015)