28
2 Literature Review
110. J.C. Simo, M.S. Rifai, A class of mixed assumed strain methods and the method of incompatible modes. Int. J. Numer. Methods Eng. 29, 1595–1638 (1990)
111. U. Andelfinger, E. Ramm, EAS-element for two-dimensional, three-dimensional, plate and
shell structures and their equivalence to HR-elements. Int. J. Numer. Methods Eng. 36, 1311–
1337 (1993)
112. T.J.R. Hughes, Generalization of selective integration procedures to anisotropic and nonlinear
media. Int. J. Numer. Methods Eng. 15, 1413–1418 (1980)
113. K.C. Park, Improved strain interpolation for curved C 0 elements. Int. J. Numer. Methods Eng.
22, 281–288 (1986)
114. J.X. Gao, Y.P. Shen, Active control of geometrically nonlinear transient vibration of composite
plates with piezoelectric actuators. J. Sound Vib. 264, 911–928 (2003)
115. I. Kreja, Geometrically non-linear analysis of layered composite plates and shells. Habilitation
Thesis, Published as Monografie 83, Politechnika Gda´ nska (2007)
116. J. Pitkäranta, Y. Leino, O. Ovaskainen, J. Piila, Shell deformation states and the finite element
method: a benchmark study of cylindrical shells. Comput. Methods Appl. Mech. Eng. 128,
81–121 (1995)
117. H. Hakula, Y. Leino, J. Pitkäranta, Scale resolution, locking, and high-order finite element
modelling of shells. Comput. Methods Appl. Mech. Eng. 133, 157–182 (1996)
118. J.P. Pontaza, J.N. Reddy, Least-squares finite element formulation for shear-deformable shells.
Comput. Methods Appl. Mech. Eng. 194, 2464–2493 (2005)
119. S. Im, S.N. Atluri, Effects of a piezo-actuator on a finitely deformed beam subjected to general
loading. AIAA J. 27, 1801–1807 (1989)
120. S. Kapuria, P.C. Dumir, Geometrically nonlinear axisymmetric response of thin circular plate
under piezoelectric actuation. Commun. Nonlinear Sci. Numer. Simul. 10, 411–423 (2005)
121. D. Varelis, D.A. Saravanos, Coupled buckling and postbuckling analysis of active laminated
piezoelectric composite plates. Int. J. Solids Struct. 41, 1519–1538 (2004)
122. S. Panda, M.C. Ray, Nonlinear finite element analysis of functionally graded plates integrated
with patches of piezoelectric fiber reinforced composite. Finite Elem. Anal. Des. 44, 493–504
(2008)
123. D. Varelis, D.A. Saravanos, Mechanics and finite element for nonlinear response of active
laminated piezoelectric plates. AIAA J. 42, 1227–1235 (2004)
124. A. Mukherjee, A.S. Chaudhuri, Nonlinear dynamic response of piezolaminated smart beams.
Comput. Struct. 83, 1298–1304 (2005)
125. R. Schmidt, T.D. Vu, Nonlinear dynamic FE simulation of smart piezolaminated structures
based on first- and third-order transverse shear deformation theory. Adv. Mater. Res. 79–82,
1313–1316 (2009)
126. J. Cheng, B. Wang, S.Y. Du, A theoretical analysis of piezoelectric/composite anisotropic
laminate with large-amplitude deflection effect, part I: Fundamental equations. Int. J. Solids
Struct. 42, 6166–6180 (2005)
127. H.S. Shen, D.Q. Yang, Nonlinear vibration of functionally graded fiber reinforced composite
laminated beams with piezoelectric fiber reinforced composite actuators in thermal environments. Eng. Struct. 90, 183–192 (2015)
128. V.K. Singh, T.R. Mahapatra, S.K. Panda, Nonlinear flexural analysis of single/doubly curved
smart composite shell panels integrated with PFRC actuator. Eur. J. Mech. A/Solids 60, 300–
314 (2016)
129. E. Carrera, An improved Reissner-Mindlin-type model for the electromechanical analysis of
multilayered plates including piezo-layers. J. Intell. Mater. Syst. Struct. 8, 232–248 (1997)
130. S. Kapuria, N. Alam, Zigzag theory for buckling of hybrid piezoelectric beams under electromechanical loads. Int. J. Mech. Sci. 46, 1–25 (2004)
131. M.C. Ray, J. Shivakumar, Active constrained layer damping of geometrically nonlinear transient vibrations of composite plates using piezoelectric fiber-reinforced composite. ThinWalled Struct. 47, 178–189 (2009)
132. S.K. Sarangi, M.C. Ray, Active damping of geometrically nonlinear vibrations of doubly
curved laminated composite shells. Compos. Struct. 93, 3216–3228 (2011)
2 Literature Review
110. J.C. Simo, M.S. Rifai, A class of mixed assumed strain methods and the method of incompatible modes. Int. J. Numer. Methods Eng. 29, 1595–1638 (1990)
111. U. Andelfinger, E. Ramm, EAS-element for two-dimensional, three-dimensional, plate and
shell structures and their equivalence to HR-elements. Int. J. Numer. Methods Eng. 36, 1311–
1337 (1993)
112. T.J.R. Hughes, Generalization of selective integration procedures to anisotropic and nonlinear
media. Int. J. Numer. Methods Eng. 15, 1413–1418 (1980)
113. K.C. Park, Improved strain interpolation for curved C 0 elements. Int. J. Numer. Methods Eng.
22, 281–288 (1986)
114. J.X. Gao, Y.P. Shen, Active control of geometrically nonlinear transient vibration of composite
plates with piezoelectric actuators. J. Sound Vib. 264, 911–928 (2003)
115. I. Kreja, Geometrically non-linear analysis of layered composite plates and shells. Habilitation
Thesis, Published as Monografie 83, Politechnika Gda´ nska (2007)
116. J. Pitkäranta, Y. Leino, O. Ovaskainen, J. Piila, Shell deformation states and the finite element
method: a benchmark study of cylindrical shells. Comput. Methods Appl. Mech. Eng. 128,
81–121 (1995)
117. H. Hakula, Y. Leino, J. Pitkäranta, Scale resolution, locking, and high-order finite element
modelling of shells. Comput. Methods Appl. Mech. Eng. 133, 157–182 (1996)
118. J.P. Pontaza, J.N. Reddy, Least-squares finite element formulation for shear-deformable shells.
Comput. Methods Appl. Mech. Eng. 194, 2464–2493 (2005)
119. S. Im, S.N. Atluri, Effects of a piezo-actuator on a finitely deformed beam subjected to general
loading. AIAA J. 27, 1801–1807 (1989)
120. S. Kapuria, P.C. Dumir, Geometrically nonlinear axisymmetric response of thin circular plate
under piezoelectric actuation. Commun. Nonlinear Sci. Numer. Simul. 10, 411–423 (2005)
121. D. Varelis, D.A. Saravanos, Coupled buckling and postbuckling analysis of active laminated
piezoelectric composite plates. Int. J. Solids Struct. 41, 1519–1538 (2004)
122. S. Panda, M.C. Ray, Nonlinear finite element analysis of functionally graded plates integrated
with patches of piezoelectric fiber reinforced composite. Finite Elem. Anal. Des. 44, 493–504
(2008)
123. D. Varelis, D.A. Saravanos, Mechanics and finite element for nonlinear response of active
laminated piezoelectric plates. AIAA J. 42, 1227–1235 (2004)
124. A. Mukherjee, A.S. Chaudhuri, Nonlinear dynamic response of piezolaminated smart beams.
Comput. Struct. 83, 1298–1304 (2005)
125. R. Schmidt, T.D. Vu, Nonlinear dynamic FE simulation of smart piezolaminated structures
based on first- and third-order transverse shear deformation theory. Adv. Mater. Res. 79–82,
1313–1316 (2009)
126. J. Cheng, B. Wang, S.Y. Du, A theoretical analysis of piezoelectric/composite anisotropic
laminate with large-amplitude deflection effect, part I: Fundamental equations. Int. J. Solids
Struct. 42, 6166–6180 (2005)
127. H.S. Shen, D.Q. Yang, Nonlinear vibration of functionally graded fiber reinforced composite
laminated beams with piezoelectric fiber reinforced composite actuators in thermal environments. Eng. Struct. 90, 183–192 (2015)
128. V.K. Singh, T.R. Mahapatra, S.K. Panda, Nonlinear flexural analysis of single/doubly curved
smart composite shell panels integrated with PFRC actuator. Eur. J. Mech. A/Solids 60, 300–
314 (2016)
129. E. Carrera, An improved Reissner-Mindlin-type model for the electromechanical analysis of
multilayered plates including piezo-layers. J. Intell. Mater. Syst. Struct. 8, 232–248 (1997)
130. S. Kapuria, N. Alam, Zigzag theory for buckling of hybrid piezoelectric beams under electromechanical loads. Int. J. Mech. Sci. 46, 1–25 (2004)
131. M.C. Ray, J. Shivakumar, Active constrained layer damping of geometrically nonlinear transient vibrations of composite plates using piezoelectric fiber-reinforced composite. ThinWalled Struct. 47, 178–189 (2009)
132. S.K. Sarangi, M.C. Ray, Active damping of geometrically nonlinear vibrations of doubly
curved laminated composite shells. Compos. Struct. 93, 3216–3228 (2011)