메뉴 건너뛰기




Volumn 43, Issue 22-23, 2006, Pages 7197-7222

A phenomenological constitutive model for ferroelastic and ferroelectric hysteresis effects in ferroelectric ceramics

Author keywords

Constitutive law; Ferroelastic; Ferroelectric; Finite element method; Hysteresis; Piezoelectric ceramic; Smart materials

Indexed keywords

ELECTRIC FIELDS; FERROELECTRICITY; FINITE ELEMENT METHOD; FREE ENERGY; HYSTERESIS; INTELLIGENT MATERIALS; KINEMATICS; PIEZOELECTRIC DEVICES; SWITCHING FUNCTIONS;

EID: 33748956340     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2006.03.008     Document Type: Article
Times cited : (90)

References (50)
  • 1
    • 0024936963 scopus 로고
    • Thermodynamical formulation for coupled electromechanical hysteresis effects-III. parameter identification
    • Bassiouny E., and Maugin G. Thermodynamical formulation for coupled electromechanical hysteresis effects-III. parameter identification. International Journal of Engineering Science 27 8 (1989) 975-987
    • (1989) International Journal of Engineering Science , vol.27 , Issue.8 , pp. 975-987
    • Bassiouny, E.1    Maugin, G.2
  • 2
    • 0024928539 scopus 로고
    • Thermodynamical formulation for coupled electromechanical hysteresis effects-IV. combined electromechanical loading
    • Bassiouny E., and Maugin G. Thermodynamical formulation for coupled electromechanical hysteresis effects-IV. combined electromechanical loading. International Journal of Engineering Science 27 8 (1989) 989-1000
    • (1989) International Journal of Engineering Science , vol.27 , Issue.8 , pp. 989-1000
    • Bassiouny, E.1    Maugin, G.2
  • 3
    • 45549115720 scopus 로고
    • Thermodynamical formulation for coupled electromechanical hysteresis effects-I. basic equations
    • Bassiouny E., Ghaleb A., and Maugin G. Thermodynamical formulation for coupled electromechanical hysteresis effects-I. basic equations. International Journal of Engineering Science 26 12 (1988) 1279-1295
    • (1988) International Journal of Engineering Science , vol.26 , Issue.12 , pp. 1279-1295
    • Bassiouny, E.1    Ghaleb, A.2    Maugin, G.3
  • 4
    • 45549112500 scopus 로고
    • Thermodynamical formulation for coupled electromechanical hysteresis effects-II. poling of ceramics
    • Bassiouny E., Ghaleb A., and Maugin G. Thermodynamical formulation for coupled electromechanical hysteresis effects-II. poling of ceramics. International Journal of Engineering Science 26 12 (1988) 1297-1306
    • (1988) International Journal of Engineering Science , vol.26 , Issue.12 , pp. 1297-1306
    • Bassiouny, E.1    Ghaleb, A.2    Maugin, G.3
  • 5
    • 0033907059 scopus 로고    scopus 로고
    • Advances in piezoelectric finite element modeling of adaptive structural elements: a survey
    • Benjeddou A. Advances in piezoelectric finite element modeling of adaptive structural elements: a survey. Computers and Structures 76 (2000) 347-363
    • (2000) Computers and Structures , vol.76 , pp. 347-363
    • Benjeddou, A.1
  • 6
    • 60949086266 scopus 로고    scopus 로고
    • A nonlinear piezo electric 3d-beam finite element formulation
    • Bathe K. (Ed), Massachusetts Institute of Technology, Cambridge
    • Butz A., Klinkel S., and Wagner W. A nonlinear piezo electric 3d-beam finite element formulation. In: Bathe K. (Ed). Proceedings Third MIT Conference on Computational Fluid and Solid Mechanics (2005), Massachusetts Institute of Technology, Cambridge 291-296
    • (2005) Proceedings Third MIT Conference on Computational Fluid and Solid Mechanics , pp. 291-296
    • Butz, A.1    Klinkel, S.2    Wagner, W.3
  • 8
    • 0019203299 scopus 로고
    • Three dimensional dynamic electromechanical constitutive relations for ferroelectric materials
    • Chen P. Three dimensional dynamic electromechanical constitutive relations for ferroelectric materials. International Journal of Solids and Structures 16 (1980) 1059-1067
    • (1980) International Journal of Solids and Structures , vol.16 , pp. 1059-1067
    • Chen, P.1
  • 9
    • 0032157289 scopus 로고    scopus 로고
    • A micro-electro-mechanical model for polarization switching of ferrroelectric materials
    • Chen W., and Lynch C. A micro-electro-mechanical model for polarization switching of ferrroelectric materials. Acta Metallurgica 46 15 (1998) 5303-5311
    • (1998) Acta Metallurgica , vol.46 , Issue.15 , pp. 5303-5311
    • Chen, W.1    Lynch, C.2
  • 10
    • 0019177171 scopus 로고
    • A macroscopic theory for the existence of the hysteresis and butterfly loops in ferroelectricity
    • Chen P., and Montgomery S. A macroscopic theory for the existence of the hysteresis and butterfly loops in ferroelectricity. Ferroelectrics 23 (1980) 199-208
    • (1980) Ferroelectrics , vol.23 , pp. 199-208
    • Chen, P.1    Montgomery, S.2
  • 11
    • 0019437499 scopus 로고
    • One dimensional polar mechanical and dielectric responses of the ferroelectric ceramic PZT 65/35 due to domain switching
    • Chen P., and Tucker T. One dimensional polar mechanical and dielectric responses of the ferroelectric ceramic PZT 65/35 due to domain switching. International Journal of Engineering Science 19 (1981) 147-158
    • (1981) International Journal of Engineering Science , vol.19 , pp. 147-158
    • Chen, P.1    Tucker, T.2
  • 12
    • 0033341673 scopus 로고    scopus 로고
    • A phenomenological constitutive law for the behaviour of ferroelectric ceramics
    • Cocks A., and McMeeking R. A phenomenological constitutive law for the behaviour of ferroelectric ceramics. Ferroelectrics 228 (1999) 219-228
    • (1999) Ferroelectrics , vol.228 , pp. 219-228
    • Cocks, A.1    McMeeking, R.2
  • 13
    • 33645093714 scopus 로고    scopus 로고
    • Elhadrouz, M., Zineb, T., Patoor, E., 2004. Phenomenological modelling of the non-linear behavior of ferroelectric materials. In: Lexcellent, C. Patoor, E. (Eds.), Journal de Physique IV-Proceedings 7th European Mechanics of Materials Conference on Adaptive Systems and Materials: Constitutive Materials and Hybrid Structures. vol. 115. Frjus, France, pp. 67-72.
  • 17
  • 18
    • 0031364209 scopus 로고    scopus 로고
    • Ghandi, K., Hagood, N., 1997. A hybrid finite element model for phase transition in nonlinear electro-mechanically coupled material. In: Varadan, V., Chandra, J. (Eds.), Proceedings of SPIE: Smart Structures and Materials. vol. 3039. Washington, pp. 97-112.
  • 19
    • 0001650510 scopus 로고    scopus 로고
    • Multi-axial electrical switching of a ferroelectric: theory versus experiment
    • Huber J., and Fleck N. Multi-axial electrical switching of a ferroelectric: theory versus experiment. Journal of the Mechanics and Physics of Solids 49 (2001) 785-811
    • (2001) Journal of the Mechanics and Physics of Solids , vol.49 , pp. 785-811
    • Huber, J.1    Fleck, N.2
  • 22
    • 0029309897 scopus 로고
    • Ferroelectric/ferroelastic interactions and a polarization switching model
    • Hwang S., Lynch C., and McMeeking R. Ferroelectric/ferroelastic interactions and a polarization switching model. Acta Metallurgica et Materialia 43 (1995) 2073-2084
    • (1995) Acta Metallurgica et Materialia , vol.43 , pp. 2073-2084
    • Hwang, S.1    Lynch, C.2    McMeeking, R.3
  • 23
    • 0001638325 scopus 로고    scopus 로고
    • The simulation of switching in poly crystalline ferroelectric ceramics
    • Hwang S., Huber J., McMeeking R., and Fleck N. The simulation of switching in poly crystalline ferroelectric ceramics. Journal of Applied Physics 84 3 (1998) 1530-1540
    • (1998) Journal of Applied Physics , vol.84 , Issue.3 , pp. 1530-1540
    • Hwang, S.1    Huber, J.2    McMeeking, R.3    Fleck, N.4
  • 25
    • 33748981043 scopus 로고    scopus 로고
    • Expert Verlag
    • Jendritza D. Technischer Einsatz neuer Aktoren. third ed. Kontakt and Studium vol. 484 (2005), Expert Verlag
    • (2005) Kontakt and Studium , vol.484
    • Jendritza, D.1
  • 26
    • 0035630371 scopus 로고    scopus 로고
    • Ferroelectric and ferroelastic piezoceramics-modeling of electromechanical hysteresis phenomena
    • Kamlah M. Ferroelectric and ferroelastic piezoceramics-modeling of electromechanical hysteresis phenomena. Continuum Mechanics and Thermodynamics 13 (2001) 219-268
    • (2001) Continuum Mechanics and Thermodynamics , vol.13 , pp. 219-268
    • Kamlah, M.1
  • 27
    • 0035196832 scopus 로고    scopus 로고
    • Finite element analysis of piezoceramic components taking into account ferroelectric hysteresis behavior
    • Kamlah M., and Böhle U. Finite element analysis of piezoceramic components taking into account ferroelectric hysteresis behavior. International Journal of Solids and Structures 38 (2001) 605-633
    • (2001) International Journal of Solids and Structures , vol.38 , pp. 605-633
    • Kamlah, M.1    Böhle, U.2
  • 28
    • 0033078702 scopus 로고    scopus 로고
    • Phenomenological modelling of the nonlinear electro-mechanical coupling in ferroelectrics
    • Kamlah M., and Tsakmakis C. Phenomenological modelling of the nonlinear electro-mechanical coupling in ferroelectrics. International Journal of Solids and Structures 36 (1999) 669-695
    • (1999) International Journal of Solids and Structures , vol.36 , pp. 669-695
    • Kamlah, M.1    Tsakmakis, C.2
  • 29
    • 30644480144 scopus 로고    scopus 로고
    • A geometrically non-linear piezoelectric solid shell element based on a mixed multi-field variational formulation
    • Klinkel S., and Wagner W. A geometrically non-linear piezoelectric solid shell element based on a mixed multi-field variational formulation. International Journal for Numerical Methods in Engineering 65 3 (2006) 349-382
    • (2006) International Journal for Numerical Methods in Engineering , vol.65 , Issue.3 , pp. 349-382
    • Klinkel, S.1    Wagner, W.2
  • 30
    • 0036131913 scopus 로고    scopus 로고
    • Fully coupled multi-axial, symmetric constitutive laws for poly crystalline ferroelectric ceramics
    • Landis C. Fully coupled multi-axial, symmetric constitutive laws for poly crystalline ferroelectric ceramics. Journal of the Mechanics and Physics of Solids 50 (2002) 127-152
    • (2002) Journal of the Mechanics and Physics of Solids , vol.50 , pp. 127-152
    • Landis, C.1
  • 31
    • 0030269917 scopus 로고    scopus 로고
    • The effect of uniaxial stress on the electro-mechanical response of 8/65/35 plzt
    • Lynch C. The effect of uniaxial stress on the electro-mechanical response of 8/65/35 plzt. Acta Materialia 44 (1996) 4137-4148
    • (1996) Acta Materialia , vol.44 , pp. 4137-4148
    • Lynch, C.1
  • 33
    • 0011864283 scopus 로고
    • Continuum mechanics of electromagnetic solids
    • Achen-bach J., Budiansky B., Koiter W., Lauwerier H.A., and Van Wijngaarden L. (Eds), North-Holland Series
    • Maugin C. Continuum mechanics of electromagnetic solids. In: Achen-bach J., Budiansky B., Koiter W., Lauwerier H.A., and Van Wijngaarden L. (Eds). Applied Mathematics and Mechanics vol. 33 (1988), North-Holland Series 1-598
    • (1988) Applied Mathematics and Mechanics , vol.33 , pp. 1-598
    • Maugin, C.1
  • 34
    • 0036683634 scopus 로고    scopus 로고
    • A phenomenological multi-axial constitutive switching in polycrystalline ferroelectric ceramics
    • McMeeking R., and Landis C. A phenomenological multi-axial constitutive switching in polycrystalline ferroelectric ceramics. International Journal of Engineering Science 40 (2002) 1553-1577
    • (2002) International Journal of Engineering Science , vol.40 , pp. 1553-1577
    • McMeeking, R.1    Landis, C.2
  • 35
    • 0004031650 scopus 로고    scopus 로고
    • Electroceramics: Materials, Properties, Applications
    • Wiley
    • Moulson A., and Herbert J. Electroceramics: Materials, Properties, Applications. second ed. (2003), Wiley
    • (2003) second ed.
    • Moulson, A.1    Herbert, J.2
  • 37
    • 2442666866 scopus 로고    scopus 로고
    • A hybrid analytical/numerical model of piezoelectric stack actuators using a macroscopic nonlinear theory of ferroelectricity and a Preisach model of hysteresis
    • Pasco Y., and Berry A. A hybrid analytical/numerical model of piezoelectric stack actuators using a macroscopic nonlinear theory of ferroelectricity and a Preisach model of hysteresis. Journal of Intelligent Material Systems and Structures 15 (2004) 375-386
    • (2004) Journal of Intelligent Material Systems and Structures , vol.15 , pp. 375-386
    • Pasco, Y.1    Berry, A.2
  • 38
    • 34250909760 scopus 로고
    • Über die magnetische Nachwirkung
    • Preisach E. Über die magnetische Nachwirkung. Zeitschrift für Physik 94 (1935) 277-302
    • (1935) Zeitschrift für Physik , vol.94 , pp. 277-302
    • Preisach, E.1
  • 40
    • 1942537808 scopus 로고    scopus 로고
    • Invariant formulation of the electromechanical enthalpy function of transversely isotropic piezoelectric materials
    • Schröder J., and Gross D. Invariant formulation of the electromechanical enthalpy function of transversely isotropic piezoelectric materials. Archive of Applied Mechanics 73 (2004) 533-552
    • (2004) Archive of Applied Mechanics , vol.73 , pp. 533-552
    • Schröder, J.1    Gross, D.2
  • 41
    • 84893471092 scopus 로고    scopus 로고
    • Schröder, J., Romanowski, H., 2004. A simple coordinate invariant thermodynamic consistent model for nonlinear electro-mechanical coupled ferroelectrica. European Congress on Computational Methods in Applied Sciences and Engineering.
  • 42
    • 28344440098 scopus 로고    scopus 로고
    • A thermodynamically consistent mesoscopic model for transversely isotropic ferroelectric ceramics in a coordinate-invariant setting
    • Schröder J., and Romanowski H. A thermodynamically consistent mesoscopic model for transversely isotropic ferroelectric ceramics in a coordinate-invariant setting. Archive of Applied Mechanics 74 (2005) 863-877
    • (2005) Archive of Applied Mechanics , vol.74 , pp. 863-877
    • Schröder, J.1    Romanowski, H.2
  • 43
    • 0033684363 scopus 로고    scopus 로고
    • Simkovics, R., Landes, H., Kaltenbacher, M., Hoffelner, J., Lerch, R., 2000. Finite element analysis of hysteresis effects in piezoelectric transducers. In: Varadan, V. (Ed.), Proceedings of SPIE: Smart Structures and Materials. vol. 3984. Newport Beach, pp. 33-44.
  • 44
    • 70350313479 scopus 로고    scopus 로고
    • Numerical analysis of classical plasticity
    • Ciarlet P., and Lions J. (Eds), North-Holland
    • Simo J. Numerical analysis of classical plasticity. In: Ciarlet P., and Lions J. (Eds). Handbook of Numerical Analysis (1998), North-Holland 183-499
    • (1998) Handbook of Numerical Analysis , pp. 183-499
    • Simo, J.1
  • 45
    • 0003413398 scopus 로고    scopus 로고
    • Springer-Verlag, New York Interdisciplinary Applied Mathematics
    • Simo J., and Hughes T. Computational Inelasticity. Mechanics and Materials vol. 7 (1998), Springer-Verlag, New York Interdisciplinary Applied Mathematics
    • (1998) Mechanics and Materials , vol.7
    • Simo, J.1    Hughes, T.2
  • 46
    • 0032141038 scopus 로고    scopus 로고
    • Intelligent material systems: application of functional materials
    • Tani J., Takagi T., and Qiu J. Intelligent material systems: application of functional materials. Applied Mechanics Reviews 51 8 (1998) 505-521
    • (1998) Applied Mechanics Reviews , vol.51 , Issue.8 , pp. 505-521
    • Tani, J.1    Takagi, T.2    Qiu, J.3
  • 49
    • 0036133280 scopus 로고    scopus 로고
    • Preisach modeling of hysteresis for piezoceramic actuator system
    • Yu Y., Naganathan N., and Dukkipati R. Preisach modeling of hysteresis for piezoceramic actuator system. Mechanism and Machine 37 (2002) 49-59
    • (2002) Mechanism and Machine , vol.37 , pp. 49-59
    • Yu, Y.1    Naganathan, N.2    Dukkipati, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.