REFERENCES
- Huber , J. E. and Fleck , N. A. 2001 . “Multi-axial electrical switching of a ferroelectric: theory versus experiment” . J. Mech. Phys. Solids , 49 : 785 – 811 . [CSA]
- Huber , J. E. , Fleck , N. A. , Landis , C. M. and McMeeking , R. M. 1999 . “A constitutive model for ferroelectric polycrystals” . J. Mech. Phys. Solids , 47 : 1663 – 1697 . [CROSSREF] [CSA]
- Kamlah , M. 2001 . “Ferroelectric and ferroelastic piezoceramics-modelling of electromechanical hysteresis phenomena” . Continuum Mech. Thermodyn. , 13 : 219 – 268 . [CSA]
- Kamlah , M. and Jiang , Q. 1998 . “A model for PZT ceramics under uni-axial loading” . Forschungszentrum Karlsruhe , FZKA 6211[CSA]
- Kamlah , M. and Wang , Z. 2003 . “A thermodynamically and microscopically motivated constitutive model for piezoceramics” . Comput. Materials Science , 28 : 409 – 418 . [CROSSREF] [CSA]
- Maugin , G. A. and Bassiouny , E. 1989 . “Continuum thermodynamics of electromechanical hysteresis in ceramics” . In Continuum mechanics and its applications , 225 – 235 . New York : Hemisphere .
- McMeeking , R. and Landis , C. 2002 . “A phenomenological multi-axial constitutive law for switching in polycrystalline ferroelectric ceramics” . Internat. J. Engrg. Sci. , 40 : 1553 – 1557 . [CROSSREF] [CSA]
- Romanowski , H. and Schröder , J. 2005 . “Coordinate invariant modelling of the ferroelectric hysteresis within a thermodynamically consistent framework. A mesoscopic approach” . In Trends in Applications of Mathematics to Mechanics , Edited by: Wang , Y. and Huttor , K. 419 – 428 . Aachen : ShakerVerlag .
- Shu , Y. and Bhattacharya , K. 2001 . “Domain Patterns and Macroscopic Behavior of Ferroelectric Materials” . Phil Mag. B , 81 : 2021 – 2054 . [CSA]
- Francfort , G. and Mielke , A. 2006 . “Existence results for a class of rate-independent material models with non-convex elastic energies” . J. reine angew. Math. , 595 : 55 – 91 . [CSA]
- Mielke , A. and Theil , F. 2004 . “On rate-independent hysteresis models” . Nonl. Diff. Eqns. Appl. (NoDEA) , 11 : 151 – 189 . [CSA]
- Mainik , A. and Mielke , A. 2005 . “Existence results for energetic models for rate-independent systems” . Calc. Var. PDSs , 22 : 73 – 99 . [CROSSREF] [CSA]
- Mielke , A. 2005 . “Evolution in rate-independent systems” . In Handbook of Differential Equations II, Evolutionary Equations , Vol. 2 , 461 – 559 . Elsevier B.V. .
- Mielke , A. and Theil , F. “A mathematical model for rate–independent phase transformations with hysteresis” . Proceedings of the Workshop on “Models of Continuum Mechanics in Analysis and Engineering” . pp. 117 – 129 . Shaker-Verlag .
- Mielke , A. , Theil , F. and Levitas , V. 2002 . “A variational formulation of rate-independent phase transformations using an extremum principle” . Arch. Rational Mech. Anal. , 162 : 137 – 177 . [CROSSREF] [CSA]
- Fousek , J. “Applications of Ferroelectrics” . Proceedings of the Ninth IEEE International Symposium . pp. 1 – 5 .
- Temam , R. 1984 . “ Navier-Stokes equations ” . In Studies in Mathematics and its Applications, , third edition , volume 2 , Amsterdam : North-Holland Publishing Co. .