메뉴 건너뛰기




Volumn 74, Issue 11-12, 2005, Pages 863-877

A thermodynamically consistent mesoscopic model for transversely isotropic ferroelectric ceramics in a coordinate-invariant setting

Author keywords

Butterfly hysteresis; Dielectric hysteresis; Ferroelectrics; Invariant theory; Polarization

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; DESCRIBING FUNCTIONS; HYSTERESIS; MATHEMATICAL MODELS; POLARIZATION; SWITCHING; THERMODYNAMIC PROPERTIES;

EID: 28344440098     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-005-0412-7     Document Type: Conference Paper
Times cited : (63)

References (38)
  • 1
    • 45549115720 scopus 로고
    • Thermodynamical formulation for coupled electromechanical hysteresis effects. I. Basic equations
    • Bassiouny, E., Ghaleb, A.F., Maugin, G.A.: Thermodynamical formulation for coupled electromechanical hysteresis effects. I. Basic equations. Int J Eng Sci 26, 1279-1295 (1988)
    • (1988) Int J Eng Sci , vol.26 , pp. 1279-1295
    • Bassiouny, E.1    Ghaleb, A.F.2    Maugin, G.A.3
  • 2
    • 45549112500 scopus 로고
    • Thermodynamical formulation for coupled electromechanical hysteresis effects. II. Poling of ceramics
    • Bassiouny, E., Ghaleb, A.F., Maugin, G.A.: Thermodynamical formulation for coupled electromechanical hysteresis effects. II. Poling of ceramics. Int J Eng Sci 26, 1297-1306 (1988)
    • (1988) Int J Eng Sci , vol.26 , pp. 1297-1306
    • Bassiouny, E.1    Ghaleb, A.F.2    Maugin, G.A.3
  • 3
    • 0024936963 scopus 로고
    • Thermodynamical formulation for coupled electromechanical hysteresis effects. III. Parameter identification
    • Bassiouny, E., Maugin, G.A.: Thermodynamical formulation for coupled electromechanical hysteresis effects. III. Parameter identification. Int J Eng Sci 27, 975-987 (1989)
    • (1989) Int J Eng Sci , vol.27 , pp. 975-987
    • Bassiouny, E.1    Maugin, G.A.2
  • 4
    • 0024928539 scopus 로고
    • Thermodynamical formulation for coupled electromechanical hysteresis effects. IV. Combined electromechanical loading
    • Bassiouny, E., Maugin, G.A.: Thermodynamical formulation for coupled electromechanical hysteresis effects. IV. Combined electromechanical loading. Int J Eng Sci 27, 989-1000 (1989)
    • (1989) Int J Eng Sci , vol.27 , pp. 989-1000
    • Bassiouny, E.1    Maugin, G.A.2
  • 5
    • 0001898250 scopus 로고
    • Introduction to the invariant formulation of anisotropic constitutive equations
    • Boehler, J.P. (ed.) Applications of tensor functions in solid mechanics. Springer, Berlin Heidelberg New York
    • Boehler, J.P.: Introduction to the invariant formulation of anisotropic constitutive equations. In: Boehler, J.P. (ed.) Applications of tensor functions in solid mechanics. CISM Course no. 292. Springer, Berlin Heidelberg New York (1987)
    • (1987) CISM Course No. 292 , vol.292
    • Boehler, J.P.1
  • 6
    • 0002956991 scopus 로고
    • Representations for isotropic and anisotropic non-polynominal tensor functions
    • Boehler, J.P. (ed.) Applications of Tensor Functions in Solid Mechanics. Springer, Berlin Heidelberg New York
    • Boehler, J.P.: Representations for isotropic and anisotropic non-polynominal tensor functions. In: Boehler, J.P. (ed.) Applications of Tensor Functions in Solid Mechanics. CISM Course no. 292. Springer, Berlin Heidelberg New York (1987)
    • (1987) CISM Course No. 292 , vol.292
    • Boehler, J.P.1
  • 7
    • 0019177171 scopus 로고
    • A macroscopic theory for the existence of the hysteresis and butterfly loops in ferroelectricity
    • Chen, P.J., Montgomery, S.T.: A macroscopic theory for the existence of the hysteresis and butterfly loops in ferroelectricity. Ferroelectrics 23, 199-208 (1980)
    • (1980) Ferroelectrics , vol.23 , pp. 199-208
    • Chen, P.J.1    Montgomery, S.T.2
  • 8
    • 0019437499 scopus 로고
    • One dimensional polar mechanical and dielectric responses of the ferroelectric ceramic PZT 65/35 due to domain switching
    • Chen, P.J., Tucker, T.J.: One dimensional polar mechanical and dielectric responses of the ferroelectric ceramic PZT 65/35 due to domain switching. Int J Eng Sci 19, 147-158 (1981)
    • (1981) Int J Eng Sci , vol.19 , pp. 147-158
    • Chen, P.J.1    Tucker, T.J.2
  • 9
    • 0033341673 scopus 로고    scopus 로고
    • A phenomenological constitutive law for the behavior of ferroelectric ceramics
    • Cocks, A.C.F., McMeeking, R.M.: A phenomenological constitutive law for the behavior of ferroelectric ceramics. Ferroelectrics 228, 219-228 (1999)
    • (1999) Ferroelectrics , vol.228 , pp. 219-228
    • Cocks, A.C.F.1    McMeeking, R.M.2
  • 10
    • 14044265694 scopus 로고
    • Electrodynamics of Continua
    • Springer, Berlin Heidelberg New York
    • Eringen, A.C., Maugin, G.A.: Electrodynamics of Continua. Vol. 1, Foundations and Solid Media. Springer, Berlin Heidelberg New York (1990)
    • (1990) Foundations and Solid Media , vol.1
    • Eringen, A.C.1    Maugin, G.A.2
  • 11
    • 0003928990 scopus 로고
    • Electrodynamics of Continua
    • Springer, Berlin Heidelberg New York
    • Eringen, A.C., Maugin, G.A.: Electrodynamics of Continua. Vol. 2, Fluid and Complex Media. Springer, Berlin Heidelberg New York (1990)
    • (1990) Fluid and Complex Media , vol.2
    • Eringen, A.C.1    Maugin, G.A.2
  • 12
    • 0029309897 scopus 로고
    • Ferroelectric/ferroelastic interactions and a polarization switching model
    • Hwang, S.C., Lynch, C.S., McMeeking, R.M.: Ferroelectric/ferroelastic interactions and a polarization switching model. Acta Metallurg Material 43, 2073-2084 (1995)
    • (1995) Acta Metallurg Material , vol.43 , pp. 2073-2084
    • Hwang, S.C.1    Lynch, C.S.2    McMeeking, R.M.3
  • 13
    • 0031677099 scopus 로고    scopus 로고
    • The prediction of switching in polycrystalline ferroelectric ceramics
    • Hwang, S.C., McMeeking R.: The prediction of switching in polycrystalline ferroelectric ceramics. Ferroelectrics 207, 465-495 (1998)
    • (1998) Ferroelectrics , vol.207 , pp. 465-495
    • Hwang, S.C.1    McMeeking, R.2
  • 14
    • 0031622792 scopus 로고    scopus 로고
    • A finite element model of ferroelectric polycrystals
    • Hwang, S.C., McMeeking R.: A finite element model of ferroelectric polycrystals. Ferroelectrics 211, 177-194 (1998)
    • (1998) Ferroelectrics , vol.211 , pp. 177-194
    • Hwang, S.C.1    McMeeking, R.2
  • 15
    • 0033117176 scopus 로고    scopus 로고
    • A finite element model of ferroelastic polycrystals
    • Hwang, S.C., McMeeking R.: A finite element model of ferroelastic polycrystals. Int J Solids Struct 36, 1541-1556 (1999)
    • (1999) Int J Solids Struct , vol.36 , pp. 1541-1556
    • Hwang, S.C.1    McMeeking, R.2
  • 17
    • 0033078702 scopus 로고    scopus 로고
    • Phenomenological modelling of the non-linear electro-mechanical coupling in ferroelectrics
    • Kamlah, M., Tsakmakis, C.: Phenomenological modelling of the non-linear electro-mechanical coupling in ferroelectrics. Int J Solids Struct 36, 669-695 (1999)
    • (1999) Int J Solids Struct , vol.36 , pp. 669-695
    • Kamlah, M.1    Tsakmakis, C.2
  • 18
    • 0035196832 scopus 로고    scopus 로고
    • Finite element analysis of piezoceramic components taking into account ferroelectric hysteresis behavior
    • Kamlah, M., Böhle, U.: Finite element analysis of piezoceramic components taking into account ferroelectric hysteresis behavior. Int J Solids Struct 38, 605-633 (2001)
    • (2001) Int J Solids Struct , vol.38 , pp. 605-633
    • Kamlah, M.1    Böhle, U.2
  • 19
    • 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 Mech Thermodyn 13, 219-268 (2001)
    • (2001) Continuum Mech Thermodyn , vol.13 , pp. 219-268
    • Kamlah, M.1
  • 20
    • 0142217208 scopus 로고    scopus 로고
    • A thermodynamically and microscopically motivated constitutive model for piezoceramics
    • Kamlah, M., Wang, Z.: A thermodynamically and microscopically motivated constitutive model for piezoceramics. Comput Mat Sci 28, 409-418 (2003)
    • (2003) Comput Mat Sci , vol.28 , pp. 409-418
    • Kamlah, M.1    Wang, Z.2
  • 21
    • 0036131913 scopus 로고    scopus 로고
    • Fully coupled, multi-axial, symmetric constitutive laws for polycrystalline ferroelectric ceramics
    • Landis, C.M.: Fully coupled, multi-axial, symmetric constitutive laws for polycrystalline ferroelectric ceramics. J Mech Phys Solids 50, 127-152 (2002)
    • (2002) J Mech Phys Solids , vol.50 , pp. 127-152
    • Landis, C.M.1
  • 22
    • 0037145296 scopus 로고    scopus 로고
    • A new finite-element formulation for electromechanical boundary value problems
    • Landis, C.M.: A new finite-element formulation for electromechanical boundary value problems. Int J Numer Methods Eng 55, 613-628 (2002)
    • (2002) Int J Numer Methods Eng , vol.55 , pp. 613-628
    • Landis, C.M.1
  • 24
    • 0020243053 scopus 로고
    • On representations of anisotropic invariants
    • Liu, I-Shih: On representations of anisotropic invariants. Int J Eng Sci 20, 1099-1109 (1982)
    • (1982) Int J Eng Sci , vol.20 , pp. 1099-1109
    • Liu, I.-S.1
  • 27
    • 0032280215 scopus 로고    scopus 로고
    • On the development of multiaxial phenomenological constitutive laws for ferroelectric ceramics
    • Lynch, C.S.: On the development of multiaxial phenomenological constitutive laws for ferroelectric ceramics. J Intell Mat Syst Struct 9, 555-563 (1998)
    • (1998) J Intell Mat Syst Struct , vol.9 , pp. 555-563
    • Lynch, C.S.1
  • 28
    • 0036683634 scopus 로고    scopus 로고
    • A phenomenological multi-axial constitutive law for switching in polycrystalline ferroelectric ceramics
    • McMeeking, R.M., Landis, C.M.: A phenomenological multi-axial constitutive law for switching in polycrystalline ferroelectric ceramics. Int J Eng Sci 40, 1553-1577 (2002)
    • (2002) Int J Eng Sci , vol.40 , pp. 1553-1577
    • McMeeking, R.M.1    Landis, C.M.2
  • 30
    • 0041362021 scopus 로고
    • Foundations of linear piezoelectricity
    • Parkus, H. (ed.) Electromagnetic Interactions in Elastic Solids. Springer, Berlin Heidelberg New York
    • Nowacki, W.: Foundations of linear piezoelectricity. In: Parkus, H. (ed.) Electromagnetic Interactions in Elastic Solids. CISM course no. 257. Springer, Berlin Heidelberg New York (1979)
    • (1979) CISM Course No. 257 , vol.257
    • Nowacki, W.1
  • 31
    • 1942537808 scopus 로고    scopus 로고
    • Invariant formulation of the electromechanical enthalpy function of transversely isotropic piezoelectric materials
    • Schröder, J., Gross, D.: Invariant formulation of the electromechanical enthalpy function of transversely isotropic piezoelectric materials. Arch Appl Mech 73, 533-552 (2004)
    • (2004) Arch Appl Mech , vol.73 , pp. 533-552
    • Schröder, J.1    Gross, D.2
  • 32
    • 0000302623 scopus 로고
    • On a fundamental error in two papers of C.C. Wang
    • Smith, G.F.: On a fundamental error in two papers of C.C. Wang. Arch Rat Mech Anal 36, 161-165 (1970)
    • (1970) Arch Rat Mech Anal , vol.36 , pp. 161-165
    • Smith, G.F.1
  • 33
    • 0001438758 scopus 로고
    • On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors
    • Smith, G.F.: On isotropic functions of symmetric tensors, skew-symmetric tensors and vectors. Int J Eng Sci 19, 899-916 (1971)
    • (1971) Int J Eng Sci , vol.19 , pp. 899-916
    • Smith, G.F.1
  • 34
    • 0001416793 scopus 로고
    • Theory of invariants
    • Eringen, A.C. (ed.). Academic, New York
    • Spencer, A.J.M.: Theory of invariants. In: Eringen, A.C. (ed.) Continuum Physics, Vol. 1. Academic, New York (1971)
    • (1971) Continuum Physics , vol.1
    • Spencer, A.J.M.1
  • 35
    • 0001010379 scopus 로고
    • Isotropic polynomial invariants and tensor functions
    • Boehler, J.P. (ed.) Applications of Tensor Functions in Solid Mechanics. Springer, Berlin Heidelberg New York
    • Spencer, A.J.M.: Isotropic polynomial invariants and tensor functions. In: Boehler, J.P. (ed.) Applications of Tensor Functions in Solid Mechanics. CISM course no. 282. Springer, Berlin Heidelberg New York (1987)
    • (1987) CISM Course No. 282 , vol.282
    • Spencer, A.J.M.1
  • 36
    • 33750430348 scopus 로고
    • On representations for isotropic functions: Part I. Isotropic functions of symmetric tensors and vectors
    • Wang, C.C.: On representations for isotropic functions: Part I. Isotropic functions of symmetric tensors and vectors. Arch Rat Mech Anal 33, 249-267 (1969)
    • (1969) Arch Rat Mech Anal , vol.33 , pp. 249-267
    • Wang, C.C.1
  • 37
    • 0012820636 scopus 로고
    • On representations for isotropic functions: Part II. Isotropic functions of skew-symmetric tensors, symmetric tensors and vectors
    • Wang, C.C.: On representations for isotropic functions: Part II. Isotropic functions of skew-symmetric tensors, symmetric tensors and vectors. Arch Rat Mech Anal 33, 268-287 (1969)
    • (1969) Arch Rat Mech Anal , vol.33 , pp. 268-287
    • Wang, C.C.1
  • 38
    • 28344455947 scopus 로고
    • Physics of polycrystalline dielectrics
    • Plenum, New York
    • Zheludev, I.S.: Physics of Polycrystalline Dielectrics. Vol. 2, Electrical Properties. Plenum, New York (1971)
    • (1971) Electrical Properties , vol.2
    • Zheludev, I.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.