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Volumn 83, Issue 15-16, 2005, Pages 1277-1297

A family of piezoelectric MITC plate elements

Author keywords

Finite element method; Locking free formulation; MITC approach; Piezoelectricity; Plate analysis

Indexed keywords

ELECTRIC FIELDS; FINITE ELEMENT METHOD; INTERPOLATION; MATHEMATICAL MODELS; MICROELECTROMECHANICAL DEVICES; PIEZOELECTRIC MATERIALS; PIEZOELECTRICITY; PROBLEM SOLVING; SHAPE MEMORY EFFECT;

EID: 17044410529     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2004.04.025     Document Type: Article
Times cited : (64)

References (56)
  • 1
    • 0001055536 scopus 로고    scopus 로고
    • Optimal size and location of piezoelectric actuator/sensors: Practical considerations
    • O.J. Aldraihem, T. Singh, and R.C. Wetherhold Optimal size and location of piezoelectric actuator/sensors: practical considerations J Guid Control Dyn 23 3 2000 509 515
    • (2000) J Guid Control Dyn , vol.23 , Issue.3 , pp. 509-515
    • Aldraihem, O.J.1    Singh, T.2    Wetherhold, R.C.3
  • 2
    • 0014767052 scopus 로고
    • Finite element method for piezoelectric vibration
    • H. Allik, and T.J.R. Hughes Finite element method for piezoelectric vibration Int J Numer Meth Engng 2 1970 151 157
    • (1970) Int J Numer Meth Engng , vol.2 , pp. 151-157
    • Allik, H.1    Hughes, T.J.R.2
  • 3
    • 0035450614 scopus 로고    scopus 로고
    • Shell finite element for smart piezoelectric composite plate/shell structures and its application to the study of active vibration control
    • V. Balamurugan, and S. Narayanan Shell finite element for smart piezoelectric composite plate/shell structures and its application to the study of active vibration control Finite Elem Anal Des 37 2001 713 738
    • (2001) Finite Elem Anal Des , vol.37 , pp. 713-738
    • Balamurugan, V.1    Narayanan, S.2
  • 5
    • 0024916850 scopus 로고
    • The MITC7 and MITC9 plate bending elements
    • K.-J. Bathe, F. Brezzi, and S.W. Cho The MITC7 and MITC9 plate bending elements Comput Struct 32 3/4 1989 797 814
    • (1989) Comput Struct , vol.32 , Issue.34 , pp. 797-814
    • Bathe, K.-J.1    Brezzi, F.2    Cho, S.W.3
  • 6
    • 0025549945 scopus 로고
    • Displacement and stress convergence of our MITC plate bending elements
    • K.-J. Bathe, M.L. Bucalem, and F. Brezzi Displacement and stress convergence of our MITC plate bending elements Eng Comput 7 4 1990 291 302
    • (1990) Eng Comput , vol.7 , Issue.4 , pp. 291-302
    • Bathe, K.-J.1    Bucalem, M.L.2    Brezzi, F.3
  • 7
    • 0022010474 scopus 로고
    • A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation
    • K.-J. Bathe, and E.N. Dvorkin A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation Int J Numer Meth Engng 21 1985 367 383
    • (1985) Int J Numer Meth Engng , vol.21 , pp. 367-383
    • Bathe, K.-J.1    Dvorkin, E.N.2
  • 8
    • 0022680557 scopus 로고
    • A formulation of general shell elements - The use of mixed interpolation of tensorial components
    • K.-J. Bathe, and E.N. Dvorkin A formulation of general shell elements - the use of mixed interpolation of tensorial components Int J Numer Meth Engng 22 1986 697 722
    • (1986) Int J Numer Meth Engng , vol.22 , pp. 697-722
    • Bathe, K.-J.1    Dvorkin, E.N.2
  • 9
  • 10
    • 0021625398 scopus 로고
    • Implementation and application of a 9-node Lagrange shell element with spurious mode control
    • T. Belytschko, W.K. Liu, S.J. Ong, and D. Lam Implementation and application of a 9-node Lagrange shell element with spurious mode control Comput Struct 20 1-3 1985 121 128
    • (1985) Comput Struct , vol.20 , Issue.1-3 , pp. 121-128
    • Belytschko, T.1    Liu, W.K.2    Ong, S.J.3    Lam, D.4
  • 11
    • 0021478944 scopus 로고
    • A consistent control of spurious singular modes in the 9-node Lagrangian element for the Laplace and Mindlin plate equations
    • T. Belytschko, S.J. Ong, and W.K. Liu A consistent control of spurious singular modes in the 9-node Lagrangian element for the Laplace and Mindlin plate equations Comput Meth Appl Mech Engng 44 1985 269 295
    • (1985) Comput Meth Appl Mech Engng , vol.44 , pp. 269-295
    • Belytschko, T.1    Ong, S.J.2    Liu, W.K.3
  • 12
    • 0033907059 scopus 로고    scopus 로고
    • Advances in piezoelectric finite element modeling of adaptive structural elements: A survey
    • A. Benjeddou Advances in piezoelectric finite element modeling of adaptive structural elements: a survey Comput Struct 76 1 2000 347 363
    • (2000) Comput Struct , vol.76 , Issue.1 , pp. 347-363
    • Benjeddou, A.1
  • 14
    • 0024715444 scopus 로고
    • Mixed-interpolated elements for Reissner-Mindlin plates
    • F. Brezzi, K.-J. Bathe, and M. Fortin Mixed-interpolated elements for Reissner-Mindlin plates Int J Numer Meth Engng 28 1989 1787 1801
    • (1989) Int J Numer Meth Engng , vol.28 , pp. 1787-1801
    • Brezzi, F.1    Bathe, K.-J.2    Fortin, M.3
  • 15
    • 0000083083 scopus 로고
    • Error analysis of mixed-interpolated elements for Reissner-Mindlin plates
    • F. Brezzi, M. Fortin, and R. Stenberg Error analysis of mixed-interpolated elements for Reissner-Mindlin plates Math Models Meth Appl Sci 1 1991 125 151
    • (1991) Math Models Meth Appl Sci , vol.1 , pp. 125-151
    • Brezzi, F.1    Fortin, M.2    Stenberg, R.3
  • 16
    • 0027700964 scopus 로고
    • Higher-order MITC general shell elements
    • M.L. Bucalem, and K.-J. Bathe Higher-order MITC general shell elements Int J Numer Meth Engng 36 1993 3729 3754
    • (1993) Int J Numer Meth Engng , vol.36 , pp. 3729-3754
    • Bucalem, M.L.1    Bathe, K.-J.2
  • 17
    • 0031508794 scopus 로고    scopus 로고
    • Finite element analysis of shell structures
    • M.L. Bucalem, and K.-J. Bathe Finite element analysis of shell structures Arch Comput Meth Engng 4 1 1997 3 61
    • (1997) Arch Comput Meth Engng , vol.4 , Issue.1 , pp. 3-61
    • Bucalem, M.L.1    Bathe, K.-J.2
  • 18
  • 20
    • 0023437632 scopus 로고
    • Use of piezoelectric actuators as elements of intelligent structures
    • E. Crawley, and J. de Luis Use of piezoelectric actuators as elements of intelligent structures AIAA J 25 10 1987 1373 1385
    • (1987) AIAA J , vol.25 , Issue.10 , pp. 1373-1385
    • Crawley, E.1    De Luis, J.2
  • 21
    • 0028485223 scopus 로고
    • Intelligent structures for aerospace: A technology overview and assessment
    • E.F. Crawley Intelligent structures for aerospace: a technology overview and assessment AIAA J 32 8 1994 1689 1699
    • (1994) AIAA J , vol.32 , Issue.8 , pp. 1689-1699
    • Crawley, E.F.1
  • 22
    • 0001132450 scopus 로고
    • Développement, par pression, de l'électricité polaire dans les cristaux hémièdres à faces inclinées
    • J. Curie, and P. Curie Développement, par pression, de l'électricité polaire dans les cristaux hémièdres à faces inclinées Comptes rendus hebdomadaires des séances de l'académie des sciences 91 1880 294 295
    • (1880) Comptes Rendus Hebdomadaires Des Séances De l'Académie Des Sciences , vol.91 , pp. 294-295
    • Curie, J.1    Curie, P.2
  • 24
    • 0021384182 scopus 로고
    • A continuum mechanics based four-node shell element for general non-linear analysis
    • E.N. Dvorkin, and K.-J. Bathe A continuum mechanics based four-node shell element for general non-linear analysis Eng Comput 1 1984 77 88
    • (1984) Eng Comput , vol.1 , pp. 77-88
    • Dvorkin, E.N.1    Bathe, K.-J.2
  • 25
    • 0029275708 scopus 로고
    • An iterative finite element procedure for the analysis of piezoelectric continua
    • P. Gaudenzi, and K.-J. Bathe An iterative finite element procedure for the analysis of piezoelectric continua J Intell Mater Syst Struct 6 1995 266 273
    • (1995) J Intell Mater Syst Struct , vol.6 , pp. 266-273
    • Gaudenzi, P.1    Bathe, K.-J.2
  • 28
    • 0033882456 scopus 로고    scopus 로고
    • A review and critique of theories for piezoelectric laminates
    • S.V. Gopinathan, V.V. Varadan, and V.K. Varadan A review and critique of theories for piezoelectric laminates Smart Mater Struct 9 1 2000 24 48
    • (2000) Smart Mater Struct , vol.9 , Issue.1 , pp. 24-48
    • Gopinathan, S.V.1    Varadan, V.V.2    Varadan, V.K.3
  • 29
    • 0032641655 scopus 로고    scopus 로고
    • Optimal placement of piezoelectric sensors and actuators for vibration control of a composite plate using genetic algorithms
    • J.-H. Han, and I. Lee Optimal placement of piezoelectric sensors and actuators for vibration control of a composite plate using genetic algorithms Smart Mater Struct 8 1999 257 267
    • (1999) Smart Mater Struct , vol.8 , pp. 257-267
    • Han, J.-H.1    Lee, I.2
  • 31
    • 0019610759 scopus 로고
    • Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear isoparametric element
    • T.J.R. Hughes, and T.E. Tezduyar Finite elements based upon Mindlin plate theory with particular reference to the four-node bilinear isoparametric element Trans ASME J Appl Mech 48 1981 587 596
    • (1981) Trans ASME J Appl Mech , vol.48 , pp. 587-596
    • Hughes, T.J.R.1    Tezduyar, T.E.2
  • 35
    • 0000107506 scopus 로고
    • The piezoelectricity of poly(vinylidene fluoride)
    • H. Kawai The piezoelectricity of poly(vinylidene fluoride) Jpn J Appl Phys 8 1969 975 976
    • (1969) Jpn J Appl Phys , vol.8 , pp. 975-976
    • Kawai, H.1
  • 36
    • 17044435325 scopus 로고    scopus 로고
    • Locking-free piezoelectric MITC plate and shell elements for smart structures applications
    • Department of Structures and Foundation Engineering, University of São Paulo
    • Kögl M. Locking-free piezoelectric MITC plate and shell elements for smart structures applications. Research report, Department of Structures and Foundation Engineering, University of São Paulo, 2001
    • (2001) Research Report
    • Kögl, M.1
  • 37
    • 17044402035 scopus 로고    scopus 로고
    • Design of piezoelectric plate and shell actuators using topology optimization
    • Lido di Jesolo, Italy. ISSMO, Italian Polytechnic Press
    • Kögl M, Silva ECN, Bucalem ML. Design of piezoelectric plate and shell actuators using topology optimization. In: Fifth World Congress of Structural and Multidisciplinary Optimization (WCSMO-5), Lido di Jesolo, Italy. ISSMO, Italian Polytechnic Press; 2003. p. 207-8
    • (2003) Fifth World Congress of Structural and Multidisciplinary Optimization (WCSMO-5) , pp. 207-208
    • Kögl, M.1    Ecn, S.2    Bucalem, M.L.3
  • 38
    • 0026399576 scopus 로고
    • The application of a finite shell element for composites containing piezo-electric polymers in vibration control
    • R. Lammering The application of a finite shell element for composites containing piezo-electric polymers in vibration control Comput Struct 41 5 1991 1101 1109
    • (1991) Comput Struct , vol.41 , Issue.5 , pp. 1101-1109
    • Lammering, R.1
  • 39
    • 0033317999 scopus 로고    scopus 로고
    • Sensors and actuators: Finite element and boundary element analyses and simulations. a bibliography (1997-1998)
    • J. Mackerle Sensors and actuators: finite element and boundary element analyses and simulations. a bibliography (1997-1998) Finite Elem Anal Des 33 1999 209 220
    • (1999) Finite Elem Anal Des , vol.33 , pp. 209-220
    • MacKerle, J.1
  • 40
    • 0001916710 scopus 로고    scopus 로고
    • Smart materials and structures: FEM and BEM simulations. a bibliography (1997-1999)
    • J. Mackerle Smart materials and structures: FEM and BEM simulations. a bibliography (1997-1999) Finite Elem Anal Des 37 2001 71 83
    • (2001) Finite Elem Anal Des , vol.37 , pp. 71-83
    • MacKerle, J.1
  • 41
    • 0017956603 scopus 로고
    • A simple quadrilateral shell element
    • R.H. MacNeal A simple quadrilateral shell element Comput Struct 8 1978 175 183
    • (1978) Comput Struct , vol.8 , pp. 175-183
    • MacNeal, R.H.1
  • 42
    • 84866546007 scopus 로고
    • Piezoelectricity, its history and applications
    • W.P. Mason Piezoelectricity, its history and applications J Acoust Soc Am 70 6 1981 1561 1566
    • (1981) J Acoust Soc Am , vol.70 , Issue.6 , pp. 1561-1566
    • Mason, W.P.1
  • 43
    • 84973010670 scopus 로고
    • Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates
    • R.D. Mindlin Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates J Appl Mech 18 1951 31 38
    • (1951) J Appl Mech , vol.18 , pp. 31-38
    • Mindlin, R.D.1
  • 44
    • 0020875335 scopus 로고
    • Analysis of piezoelectric structures by a finite element method
    • M. Naillon, R.H. Coursant, and F. Besnier Analysis of piezoelectric structures by a finite element method Acta Electron 25 4 1983 341 362
    • (1983) Acta Electron , vol.25 , Issue.4 , pp. 341-362
    • Naillon, M.1    Coursant, R.H.2    Besnier, F.3
  • 47
    • 0028422104 scopus 로고
    • Piezoelectricity and its use in disturbance sensing and control of flexible structures: A survey
    • S.S. Rao, and M. Sunar Piezoelectricity and its use in disturbance sensing and control of flexible structures: a survey Appl Mech Rev 47 4 1994 113 123
    • (1994) Appl Mech Rev , vol.47 , Issue.4 , pp. 113-123
    • Rao, S.S.1    Sunar, M.2
  • 48
    • 0025798705 scopus 로고
    • Analysis of piezoelectrically actuated beams using a layerwise displacement theory
    • D.H. Robbins, and J.N. Reddy Analysis of piezoelectrically actuated beams using a layerwise displacement theory Comput Struct 41 2 1991 265 279
    • (1991) Comput Struct , vol.41 , Issue.2 , pp. 265-279
    • Robbins, D.H.1    Reddy, J.N.2
  • 49
    • 84970650804 scopus 로고
    • Intelligent material systems-the dawn of a new materials age
    • C.A. Rogers Intelligent material systems-the dawn of a new materials age J Intell Mater Syst Struct 4 1993 4 12
    • (1993) J Intell Mater Syst Struct , vol.4 , pp. 4-12
    • Rogers, C.A.1
  • 50
    • 0031197663 scopus 로고    scopus 로고
    • Mixed laminate theory and finite element for smart piezoelectric composite shell structures
    • D.A. Saravanos Mixed laminate theory and finite element for smart piezoelectric composite shell structures AIAA J 35 8 1997 1327 1333
    • (1997) AIAA J , vol.35 , Issue.8 , pp. 1327-1333
    • Saravanos, D.A.1
  • 51
    • 0033204901 scopus 로고    scopus 로고
    • Mechanics and computational models for laminated piezoelectric beams, plates, and shells
    • D.A. Saravanos, and P.R. Heylinger Mechanics and computational models for laminated piezoelectric beams, plates, and shells Appl Mech Rev 52 10 1999 305 320
    • (1999) Appl Mech Rev , vol.52 , Issue.10 , pp. 305-320
    • Saravanos, D.A.1    Heylinger, P.R.2
  • 52
    • 0029404536 scopus 로고
    • A simple finite element formulation for a laminated composite plate with piezoelectric layers
    • A. Suleman, and V.B. Venkayya A simple finite element formulation for a laminated composite plate with piezoelectric layers J Intell Mater Syst Struct 6 6 1995 776 782
    • (1995) J Intell Mater Syst Struct , vol.6 , Issue.6 , pp. 776-782
    • Suleman, A.1    Venkayya, V.B.2
  • 53
    • 84936895068 scopus 로고
    • Hamilton's principle for linear piezoelectric media
    • H.F. Tiersten Hamilton's principle for linear piezoelectric media Proc IEEE 55 1967 1523 1524
    • (1967) Proc IEEE , vol.55 , pp. 1523-1524
    • Tiersten, H.F.1
  • 54
    • 0025564021 scopus 로고
    • Use of incompatible displacement models for the calculation of element stiffness and stresses
    • E.L. Wilson, and A. Ibrahimbegovic Use of incompatible displacement models for the calculation of element stiffness and stresses Finite Elem Anal Des 7 1990 229 241
    • (1990) Finite Elem Anal Des , vol.7 , pp. 229-241
    • Wilson, E.L.1    Ibrahimbegovic, A.2
  • 55
    • 0037401887 scopus 로고    scopus 로고
    • Finite element models for laminated shells with actuation capability
    • A. Zallo, and P. Gaudenzi Finite element models for laminated shells with actuation capability Comput Struct 81 2003 1059 1069
    • (2003) Comput Struct , vol.81 , pp. 1059-1069
    • Zallo, A.1    Gaudenzi, P.2
  • 56
    • 0015051922 scopus 로고
    • Reduced integration technique in general analysis of plates and shells
    • O.C. Zienkiewicz, R.L. Taylor, and J.M. Too Reduced integration technique in general analysis of plates and shells Int J Numer Meth Engng 3 1971 275 290
    • (1971) Int J Numer Meth Engng , vol.3 , pp. 275-290
    • Zienkiewicz, O.C.1    Taylor, R.L.2    Too, J.M.3


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