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Article

The Ritz – Sublaminate Generalized Unified Formulation approach for piezoelectric composite plates

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Pages 34-55 | Received 29 Sep 2017, Accepted 15 Dec 2017, Published online: 10 Jan 2018

References

  • S.O.R. Moheimani and A.J. Fleming, Piezoelectric Transducers for Vibration Control and Damping, Springer-Verlag, London, 2006.
  • D.H. Robbins Jr and I. Chopra, The effect of discrete layer kinematics on the global response of homogeneous and composite plates with multiple actuator pairs, J. Intellig. Mat. Sys. Struct 18 (2007), pp. 235–252. doi:10.1177/1045389X06065466
  • V.M. Franco Correia, J.F.A. Madeira, A.L. Araùjo, and C.M. Mota Soares, Multiobjective design optimization of laminated composite plates with piezoelectric layers, Compos, Struct. 169 (2017), pp. 10–20.
  • X. Dong, L. Ye, Z. Peng, H. Hua, and G. Meng, A study on controller structure interaction of piezoelectric smart structures based on finite element method, J. Intellig. Mat. Sys. Struct. 25 (2013), pp. 1401–1413. doi:10.1177/1045389X13507353
  • D.A. Saravanos and P.R. Heyliger, Mechanics and computational models for laminated piezoelectric beams, plates and shells, Appl. Mech. Rev. 52 (1999), pp. 305–319. doi:10.1115/1.3098918
  • A. Benjeddou, Advances in piezoelectric finite element modeling of adaptive structural elements: A survey, Comput. Struct 76 (2000), pp. 347–363. doi:10.1016/S0045-7949(99)00151-0
  • D. Varelis and D.A. Saravanos, Coupled mechanics and finite element for non-linear laminated piezoelectric shallow shells undergoing large displacements and rotations, Int. J. Numer. Meth. Eng. 66 (2006), pp. 1211–1233. doi:10.1002/nme.1590
  • H. Santos, C.M. Mota Soares, C.A. Mota Soares, and J.N. Reddy, A finite element model for the analysis of 3D axisymmetric laminated shells with piezoelectric sensors and actuators: Bending and free vibrations, Comput. Struct 86 (2008), pp. 940–947. doi:10.1016/j.compstruc.2007.04.013
  • S. Kapuria and S.D. Kulkarni, Static electromechanical response of smart composite/sandwich plates using an efficient finite element with physical electric nodes, Int. J. Mech. Sci. 51 (2009), pp. 1–20. doi:10.1016/j.ijmecsci.2008.11.005
  • S. Kapuria and M.Y. Yasin, Active vibration control of piezoelectric laminated beams with electroded actuators and sensors using an efficient finite element involving an electric node, Smart Mater. Struct 19 (2010), pp. 045019. doi:10.1088/0964-1726/19/4/045019
  • P. Vidal, M. D’Ottavio, M. Ben Thaïer, and O. Polit, An efficient finite shell element for the static response of piezoelectric laminates, J. Intellig. Mat. Sys. Struct. 22 (2011), pp. 671–690. doi:10.1177/1045389X11402863
  • O. Polit, M. D’Ottavio, and P. Vidal, High-order plate finite elements for smart structure analysis, Compos. Struct 151 (2016), pp. 81–90. doi:10.1016/j.compstruct.2016.01.092
  • J.N. Reddy, An evaluation of equivalent-single-layer and layerwise theories of composite laminates, Compos. Struct 25 (1993), pp. 21–35. doi:10.1016/0263-8223(93)90147-I
  • E. Carrera, Theories and finite elements for multilayered plates and shells: A unified compact formulation with numerical assessment and benchmarking, Arch. Comput. Meth. Eng. 10 (2003), pp. 215–296. doi:10.1007/BF02736224
  • E. Carrera, M. Cinefra, M. Petrolo, and E. Zappino, Finite Element Analysis of Structures through Unified Formulation, John Wiley & Sons, Ltd, 2014.
  • D.H. Robbins Jr and J.N. Reddy, An efficient computational model for the stress analysis of smart plate structures, Smart Mater. Struct. 5 (1996), pp. 353–360. doi:10.1088/0964-1726/5/3/014
  • D. Ballhause, M. D’Ottavio, B. Kröplin, and E. Carrera, A unified formulation to assess multilayered theories for piezoelectric plates, Comput. Struct 83 (2005), pp. 1217–1235. doi:10.1016/j.compstruc.2004.09.015
  • E. Carrera, S. Brischetto, and P. Nali, Plates and Shells for Smart Structures. Classical and Advanced Theories for Modeling and Analysis, Chichester: John Wiley & Sons, Ltd, 2011.
  • D.H. Robbins Jr and I. Chopra, The effect of laminate kinematic assumptions on the global response of actuated plates, J. Intellig. Mat. Sys. Struct 17 (2006), pp. 273–299. doi:10.1177/1045389X06061045
  • L. Demasi, hierarchy plate theories for thick and thin composite plates: The generalized unified formulation, Compos. Struct 84 (2008), pp. 256–270. doi:10.1016/j.compstruct.2007.08.004
  • M. D’Ottavio, A Sublaminate Generalized Unified Formulation for the analysis of composite structures and its application to sandwich plates bending, Compos. Struct 142 (2016), pp. 187–199. doi:10.1016/j.compstruct.2016.01.087
  • L. Dozio and E. Carrera, Ritz analysis of vibrating rectangular and skew multilayered plates based on advanced variable-kinematics models, Compos. Struct 94 (2012), pp. 2118–2128. doi:10.1016/j.compstruct.2012.02.008
  • M. D’Ottavio, L. Dozio, R. Vescovini, and O. Polit, Bending analysis of composite laminated and sandwich structures using sublaminate variable-kinematic Ritz models, Compos. Struct 155 (2016), pp. 45–62. doi:10.1016/j.compstruct.2016.07.036
  • M. D’Ottavio, R. Vescovini, L. Dozio, and O. Polit, A sublaminate generalized unified formulation for buckling and wrinkling of sandwich plates, in 2016 EMI - International Conference, October, Metz, France. ASCE Engineering Mechanics Institute, 2016.
  • M. D’Ottavio, L. Dozio, R. Vescovini, and O. Polit, Dynamic analysis of multilayered plates with viscoelastic layers using a sublaminate generalized unified formulation, in 19th International Conference on Composite Structures, A.J.M. Ferreira, ed., 5 – 9 September, Porto, Portugal. 2016.
  • A. Benjeddou, Modal effective electromechanical coupling approximate evaluations and simplified analyses: Numerical and experimental assessments, Acta Mech 225 (2014), pp. 2721–2742. doi:10.1007/s00707-014-1206-1
  • J.N. Reddy, Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, 2nd ed., Boca Raton, FL: CRC Press, 2004.
  • H. Murakami, Laminated composite plate theory with improved in-plane response, J. Appl. Mech. 53 (1986), pp. 661–666. doi:10.1115/1.3171828
  • A. Benjeddou and S. Belouettar, On the evaluation and application of the modal properties of piezoelectric adaptive structures, in Innovation in Computational Structures Technology, B.H.V. Topping, G. Montero, and R. Montenegro, eds., Kippen: Saxe-Coburg Publications, 2006, pp. 287–302.
  • M. Krommer, Piezoelastic vibrations of composite Reissner-Mindlin-type plates, J. Sound Vibr 263 (2003), pp. 871–891. doi:10.1016/S0022-460X(02)01169-0
  • M.A. Trindade and A. Benjeddou, Effective electromechanical coupling coefficients of piezoelectric adaptive effective electromechanical coupling coefficients of piezoelectric adaptive structures: Critical evaluation and optimization, Mech. Adv. Mater. Struct. 16 (2009), pp. 210–233. doi:10.1080/15376490902746863
  • S.S. Vel and R.C. Batra, Three-dimensional analytical solution for hybrid multilayered piezoelectric plates, J. Appl. Mech. 67 (2000), pp. 558–567. doi:10.1115/1.1311274
  • M. D’Ottavio and B. Kröplin, An extension of Reissner Mixed Variational Theorem to piezoelectric laminates, Mech. Adv. Mater. Struct. 13 (2006), pp. 139–150. doi:10.1080/15376490500451718
  • M. D’Ottavio, T. Wallmersperger, and B. Kröplin, Classical and advanced models for laminated plates with piezoelectric layers actuated in shear mode, Mech. Adv. Mater. Struct. 15 (2008), pp. 167–181. doi:10.1080/15376490801907632
  • S. Kapuria and J.K. Nath, Coupled global-local and zigzag-local laminate theories for dynamic analysis of piezoelectric laminated plates, J. Sound Vibr 332 (2013), pp. 306–325. doi:10.1016/j.jsv.2012.08.002
  • S.V. Gopinathan, V.V. Varadan, and V.K. Varadan, A review and critique of theories for piezoelectric laminates, Smart Mater. Struct 9 (2000), pp. 24–48. doi:10.1088/0964-1726/9/1/304
  • E. Carrera and M. Petrolo, Guidelines and recommendations to construct theories for metallic and composite plates, Aiaa J. 48 (2010), pp. 2852–2866. doi:10.2514/1.J050316
  • E. Carrera, F. Miglioretti, and M. Petrolo, Accuracy of refined finite elements for laminated plate analysis, Compos. Struct. 93 (2011), pp. 1311–1327.
  • M. Petrolo and A. Lamberti, Axiomatic/asymptotic analysis of refined layer-wise theories for composite and sandwich plates, Mech. Adv. Mater. Struct. 23 (2015), pp. 28–42. doi:10.1080/15376494.2014.924607
  • M. Cinefra, A. Lamberti, A.M. Zenkour, and E. Carrera, Axiomatic/asymptotic technique applied to refined theories for piezoelectric plates, Mech. Adv. Mater. Struct. 22 (2015), pp. 107–124. doi:10.1080/15376494.2014.908043