A hybrid phenomenological model for thermo-mechano-electrical creep of 1–3 piezocomposites

References

• R.E. Newnham and G.R. Ruschau, Smart electroceramics, J. Am. Ceram. Soc. 74(3) (1991), pp. 463–480.
   Web of Science ®Google Scholar
• P. Wiwattananon, O.K. Bergsma, and H.E.N. Bersee, Understanding piezoelectric composite-based actuators with nonlinear and 90 domain walls effects, J. Intell. Mater. Syst. Struct. 27(13) (2016), pp. 1738–1754.
   Web of Science ®Google Scholar
• D. Croft, G. Shed, and S. Devasia, Creep, hysteresis, and vibration compensation for piezoactuators: Atomic force microscopy application, J. Dyn. Syst. Meas. Control 123(1) (2001), pp. 35–43.
   Web of Science ®Google Scholar
• Q.D. Liu and J.E. Huber, Inhomogeneous creep fields in PLZT: An experimental study, in Behavior and Mechanics of Multifunctional and Composite Materials 2008, M.J. Dapino and Z. Ounaies, eds., Vol. 6929, International Society for Optics and Photonics, San Diego, CA, 2008, p. 69290B.
   Google Scholar
• M. Kamlah, Ferroelectric and ferroelastic piezoceramics-modeling of electromechanical hysteresis phenomena, Continuum Mech. Therm. 13(4) (2001), pp. 219–268.
   Web of Science ®Google Scholar
• X. He, D. Wang, L. Wang, and R. Melnik, Modelling of creep hysteresis in ferroelectrics, Philos. Mag. 98(14) (2018), pp. 1256–1271.
   Web of Science ®Google Scholar
• P. Ge and M. Jouaneh, Modeling hysteresis in piezoceramic actuators, Precis. Eng. 17(3) (1995), pp. 211–221.
   Google Scholar
• H.J.M.T.S. Adriaens, W.L. De Koning, and R. Banning, Modeling piezoelectric actuators, IEEE ASME Trans. Mechatron. 5(4) (2000), pp. 331–341.
   Web of Science ®Google Scholar
• S.-H. Lee and T.J. Royston, Modeling piezoceramic transducer hysteresis in the structural vibration control problem, J. Acoust. Soc. Am. 108(6) (2000), pp. 2843–2855.
   Web of Science ®Google Scholar
• Q.D. Liu and J.E. Huber, Creep in ferroelectrics due to unipolar electrical loading, J. Eur. Ceram. Soc. 26(13) (2006), pp. 2799–2806.
   Web of Science ®Google Scholar
• D. Zhou and M. Kamlah, Determination of room-temperature creep of soft lead zirconate titanate piezoceramics under static electric fields, J. Appl. Phys. 98(10) (2005), p. 104107.
   Web of Science ®Google Scholar
• A.Y. Belov and W.S. Kreher, Creep in soft PZT: The effect of internal fields, Ferroelectrics 391(1) (2009), pp. 12–21.
   Google Scholar
• H. Jung and D.G. Gweon, Creep characteristics of piezoelectric actuators, Rev. Sci. Instrum. 71(4) (2000), pp. 1896–1900.
   Web of Science ®Google Scholar
• D. Zhou and M. Kamlah, Room-temperature creep of soft PZT under static electrical and compressive stress loading, Acta Mater. 54(5) (2006), pp. 1389–1396.
   Web of Science ®Google Scholar
• O. Guillon, F. Thiébaud, P. Delobelle, and D. Perreux, Compressive creep of PZTceramics: Experiments and modelling, J. Eur. Ceram. Soc. 24(9) (2004), pp. 2547–2552.
   Web of Science ®Google Scholar
• R. Pramanik and A. Arockiarajan, Electro-mechanical creep of 1–3 piezocomposites: Theoretical modeling and experimental approach, Ceram. Int. 44 (2018), pp. 13934–13943.
   Web of Science ®Google Scholar
• D. Guyomar, B. Ducharne, and G. Sebald, Time fractional derivatives for voltage creep in ferroelectric materials: Theory and experiment, J. Phys. D Appl. Phys. 41(12) (2008), p. 125410.
   Web of Science ®Google Scholar
• C.S. Lynch, The effect of uniaxial stress on the electro-mechanical response of 8/65/35 PLZT, Acta Mater. 44(10) (1996), pp. 4137–4148.
   Web of Science ®Google Scholar
• T. Fett and G. Thun, Determination of room-temperature tensile creep of PZT, J. Mater. Sci. Lett. 17(22) (1998), pp. 1929–1931.
   Google Scholar
• S.J. Kim and D.W. Ji, Temperature-dependent compressive creep of ferroelectric ceramics and evolution of remnant state variables, J. Eur. Ceram. Soc. 33(10) (2013), pp. 1779–1792.
   Web of Science ®Google Scholar
• R. Pramanik and A. Arockiarajan, Experimental and theoretical studies on mechanical creep of 1–3 piezocomposites, Acta Mech. 229 (2018), pp. 1–12.
   Web of Science ®Google Scholar
• P. Zhao, Y. Cao, and J. Li, Nonlinear electromechanical coupling behavior of 1–3 piezoelectric composites, Acta Mater. 59(14) (2011), pp. 5534–5543.
   Web of Science ®Google Scholar
• K.S. Challagulla and T.A. Venkatesh, Electromechanical response of 2–2 layered piezoelectric composites: A micromechanical model based on the asymptotic homogenization method, Philos. Mag. 89(14) (2009), pp. 1197–1222.
   Web of Science ®Google Scholar
• W.A. Smith, Composite piezoelectric materials for medical ultrasonic imaging transducers—A review, Sixth IEEE International Symposium on Applications of Ferroelectrics, Bethlehem, PA, IEEE, 1986, pp. 249–256.
   Google Scholar
• Y. Zhang, T.-F. Lu, and W. Gao, Equivalent homogeneous model of d31-mode longitudinal piezoelectric transducers, J. Intell. Mater. Syst. Struct. 28(19) (2017), pp. 2651–2658.
   Web of Science ®Google Scholar
• A.H. Muliana, A micromechanical formulation for piezoelectric fiber composites with nonlinear and viscoelastic constituents, Acta Mater. 58(9) (2010), pp. 3332–3344.
   Web of Science ®Google Scholar
• R. Jayendiran and A. Arockiarajan, Modeling of dielectric and piezoelectric response of 1–3 type piezocomposites, J. Appl. Phys. 112(4) (2012), p. 044107.
   Web of Science ®Google Scholar
• G.M. Odegard, Constitutive modeling of piezoelectric polymer composites, Acta Mater. 52(18) (2004), pp. 5315–5330.
   Web of Science ®Google Scholar
• R. Jayendiran and A. Arockiarajan, Numerical modelling and experimental characterization of temperature-dependent viscoelastic effect on the ferroelastic behaviour of 1–3 piezocomposites, Sens. Actuators A Phys. 226 (2015), pp. 81–97.
   Web of Science ®Google Scholar
• R. Jayendiran and A. Arockiarajan, Modeling and experimental characterization on temperature-dependent ferroelastic switching of 1–3 type piezocomposites, Int. J. Eng. Sci. 68 (2013), pp. 61–74.
   Web of Science ®Google Scholar
• S. Stark, P. Neumeister, and H. Balke, A hybrid phenomenological model for ferroelectroelastic ceramics. Part I: Single phased materials, J. Mech. Phys. Solids 95 (2016), pp. 774–804.
   Web of Science ®Google Scholar
• D. Zhou, M. Kamlah, and D. Munz, Effects of bias electric fields on the non-linear ferroelastic behavior of soft lead zirconate titanate piezoceramics, J. Am. Ceram. Soc. 88(4) (2005), pp. 867–874.
   Web of Science ®Google Scholar
• S.M. Subhani, S. Maniprakash, and A. Arockiarajan, Nonlinear magneto-electro-mechanical response of layered magneto-electric composites: Theoretical and experimental approach, Acta Mech. 228 (2017), pp. 3185–3201.
   Web of Science ®Google Scholar
• C. Jarzynski, Microscopic analysis of Clausius–Duhem processes, J. Stat. Phys. 96(1) (1999), pp. 415–427.
   Web of Science ®Google Scholar
• W. Cai, W. Chen, and W. Xu, Characterizing the creep of viscoelastic materials by fractal derivative models, Int. J. Non-Linear Mech. 87 (2016), pp. 58–63.
   Web of Science ®Google Scholar
• X. Su, W. Chen, and W. Xu, Characterizing the rheological behaviors of non-Newtonian fluid via a viscoelastic component: Fractal dashpot, Adv. Mech. Eng. 9(10) (2017), p. 1687814017699765.
   Web of Science ®Google Scholar
• R. Jayendiran and A. Arockiarajan, Viscoelastic modeling and experimental characterization of thermo-electromechanical response of 1–3 piezocomposites, J. Appl. Phys. 116(21) (2014), p. 214103.
   Web of Science ®Google Scholar
• U. Welzel, S. Fréour, and E.J. Mittemeijer, Direction-dependent elastic grain-interaction models—A comparative study, Philos. Mag. 85(21) (2005), pp. 2391–2414.
   Web of Science ®Google Scholar
• A. Vuppuluri and S. Vedantam, Theory and simulation of coupled grain boundary migration and grain rotation in low angle grain boundaries, Philos. Mag. 97(35) (2017), pp. 3325–3342.
   Web of Science ®Google Scholar
• S. Maniprakash, A. Arockiarajan, and A. Menzel, A multi-surface model for ferroelectric ceramics—application to cyclic electric loading with changing maximum amplitude, Philos. Mag. 96(13) (2016), pp. 1263–1284.
   Web of Science ®Google Scholar
• Y. Mohan and A. Arockiarajan, Experimental and theoretical investigation of temperature-dependent electrical fatigue studies on 1–3 type piezocomposites, AIP Adv. 6(3) (2016), p. 035311.
   Web of Science ®Google Scholar