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Effective properties of piezoelectric ceramic embedded with radially polarized nano-fibers under electromechanical loading

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Abstract

Based on the electro-elastic surface/interface theory, the size-dependent effective elastic properties of piezoelectric ceramic embedded with radially polarized nano-fibers are addressed, and the surface/interface effect is considered. Electroelastic equations for radially polarized piezoelectric ceramic are established. The analytical solutions of elastic displacement and electric potentials are exactly derived by separating variables method. The effective elastic modulus in the dilute limit is obtained by satisfying the boundary conditions with consideration of surface/interface energy. Analyses show that the effective elastic properties can be enhanced (or reduced) by adjusting the material properties of surface/interface.

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References

  1. Liu S, Lin S (2009) The analysis of the electro-mechanical model of the cylindrical radial composite piezoelectric ceramic transducer. Sens Actuators A 155:175–180

    Article  Google Scholar 

  2. Chen WQ (1999) Problems of radially polarized piezoelastic bodies. Int J Solids Struct 36:4317–4332

    Article  MathSciNet  MATH  Google Scholar 

  3. Fang XQ, Liu JX, Huang MJ (2012) Effect of interface energy on effective dynamic properties of piezoelectric medium with randomly distributed piezoelectric nano-fibers. J Appl Phys 112:094311

    Article  ADS  Google Scholar 

  4. Malakooti MH, Sodano HA (2013) Multi- inclusion modeling of multiphase piezoelectric composites. Compos Part B 47:181–189

    Article  Google Scholar 

  5. Jafari A, Khatibi AA, Mashhad MM (2011) Comprehensive investigation on hierarchical multi-scale homogenization using representative volume element for piezoelectric nanocomposites. Compos Part B Eng 42:553–561

    Article  Google Scholar 

  6. Sharma P, Ganti S, Bhate N (2003) Effect of surfaces on the size-dependent elastic state of nano-inhomogeneities. Appl Phys Lett 82:535–537

    Article  ADS  Google Scholar 

  7. Tian L, Rajapakse RKND (2007) Analytical solution for size-dependent elastic field of a nanoscale circular inhomogeneity. J Appl Mech 74:568–574

    Article  MATH  Google Scholar 

  8. Salviato M, Zappalorto M, Quaresimin M (2011) The effect of surface stresses on the critical debonding stress around nanoparticles. Int J Frac 172:97–103

    Article  MATH  Google Scholar 

  9. Salviato M, Zappalorto M, Quaresimin M (2013) Nanoparticle debonding strength: a comprehensive study on interfacial effects. Int J Solids Struct 50:3225–3232

    Article  Google Scholar 

  10. Fang XQ, Liu JX, Gupta VJ (2013) Fundamental formulations and recent achievements in piezoelectric nano-structures: a review. Nanoscale 5:1716–1726

    Article  ADS  Google Scholar 

  11. Duan HL, Wang J, Huang ZP, Karihaloo BL (2005) Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress. J Mech Phys Solids 53:1574–1596

    Article  ADS  MathSciNet  MATH  Google Scholar 

  12. Yang SS, Hu SL, Shen SP (2012) Local electroelastic field and effective electroelastic moduli of piezoelectric nanocomposites with interface effect. CMC Comput Mater Con 29:279–298

    Google Scholar 

  13. Kerimov MK, Kurbanov MA, Mekhtili AA, Aliev GG, Sultanakhmedova IS, Tatardar FN, Yusifova UV, Kulieva GK, Yakhyaev FF (2011) Piezoelectrics based on a hybrid of piezoelectric matrix nano-and microcomposites. Tech Phys 56:1187–1194

    Article  Google Scholar 

  14. Fang XQ, Huang MJ, Liu JX, Nie GQ (2014) Electro-mechanical coupling properties of piezoelectric nanocompo- sites with coated elliptical nano-fibers under anti-plane shear. J Appl Phys 115:064306

    Article  ADS  Google Scholar 

  15. Choi E, Lee SQ, Kim TY, Chang HK, Lee KJ, Park J (2010) MEMS-based power generation system using contractile force generated by self-organized cardiomyocytes. Sens, Actuators B Chem 115:291–296

    Article  Google Scholar 

  16. Kim SM, Sohn JI, Kim HJ, Ku J, Park YJ, Cha SN, Kim JM (2012) Radially dependent effective piezoelectric coefficient and enhanced piezoelectric potential due to geometrical stress confinement in ZnO nanowires/nanotubes. Appl Phys Lett 101:013104

    Article  ADS  Google Scholar 

  17. Agrawal R, Espinosa HD (2011) Giant piezoelectric size effects in Zinc Oxide and Gallium Nitride nanowires. a first principles investigation. Nano Lett 11(2):786–790

    Article  ADS  Google Scholar 

  18. Gu GQ, Wei EB, Xu C (2009) Effective elastic properties of piezoelectric composites with radially polarized cylinders. Phys B 404:4001–4006

    Article  ADS  Google Scholar 

  19. Ding HJ, Chen WQ (2001) Three dimensional problem of piezoelasticity. Nova Sciences, New York

    Google Scholar 

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Funding

This study was funded by Natural Science Foundation for Outstanding Young Researcher in Hebei Province of China (Grant No. A2014210015), and Training Program for Leading Talent in University Innovative Research Team in Hebei Province of China (Grant No. LJRC006).

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Authors and Affiliations

  1. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    X.-Q. Fang

  2. Science and Technology Division, Shijiazhuang Tiedao University, Shijiazhuang, 050043, China

    Ying-Ming Shen

Authors
  1. Ying-Ming Shen
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  2. X.-Q. Fang
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Corresponding author

Correspondence to X.-Q. Fang.

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Conflict of interest

X.Q. Fang has received research grants from Natural Science Foundation of Hebei Province, China.

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Shen, YM., Fang, XQ. Effective properties of piezoelectric ceramic embedded with radially polarized nano-fibers under electromechanical loading. Meccanica 52, 2855–2864 (2017). https://doi.org/10.1007/s11012-017-0642-0

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  • DOI: https://doi.org/10.1007/s11012-017-0642-0

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