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Analytical Homogenizations of Piezoceramic d15 Shear Macro-fibre Composites

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IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials

Part of the book series: IUTAM Bookseries ((IUTAMBOOK,volume 24))

Abstract

Closed-form expressions of effective electromechanical constants are derived for the new d15 shearmacro-fibre composite (MFC) using two differentanalytical homogenizationapproaches: theuniform fields method(UFM), and theasymptotic homogenization method(AHM). The former is used with bothe-formandh-formpiezoelectric constitutive equations, while the latter is used with thee-formones only. Then, the usualunidirectional electric field(UDEF) andplane stress(PS) electromechanical assumptions are considered in order to derivesimplifiedsets of the homogenized electromechanical constants.Parametric analysesare conducted in term of the piezoelectricfibre volume fraction(FVF) in order to choose its optimum value for this new smart material. It is found that: (i) the effective electromechanical coefficients values from both methods are exactly identical; (ii) the simplifying UDEF and PS assumptions have no influence on the shear response homogenized electromechanical constants; (iii) on the basis of the effectiveelectromechanical coupling coefficient(EMCC) as adesign criterion, the optimum FVF lies in the range of 0.9–0.95, which is higher than that (0.86) of commercial MFC; (iv) the new d15shear MFC has aunidirectionalpiezoelectric shear coupling andhigheffective material shear EMCC; thesenice features allow the application of this new MFC for activetorsion/twistvibration and shape control,shearstrains actuation/sensing andshearwaves-based health monitoring.

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References

  1. Lin Y, Sodano HA (2009) Electromechanical characterization of a active structural fiber lamina for multifunctional composites. Compos Sci Techol 69:1825–1830

    Article  Google Scholar 

  2. Wilkie WK et al (2000) Low-cost piezocomosite actuator for structural control applications. In: Proceedings of the SPIE 7th annual international symposium on smart structure and materials, Newport Beach (CA), 5–9 Mar

    Google Scholar 

  3. Williams RB (2004) Nonlinear mechanical and actuation characterization of piezoceramic fiber composites. Ph.D. Dissertation, Blacksburg (VA)

    Google Scholar 

  4. http://www.smart-material.com

  5. Barkanov E, Gluhih S, Kovalov A (2008) Optimal design of the active twist for helicopter rotor blades with c-spar. Mech Adv Mater Struct 15:325–334

    Article  Google Scholar 

  6. Dano ML, Gakwaya M, Jullière B (2008) Compensation of thermally induced distortion in composite structures using macro-fiber composites. J Intel Mater Sys Struct 19:225–233

    Article  Google Scholar 

  7. Deraemaeker A, Preumont A, Benjeddou A, Ben Elechi, S (2007) Analytical and numerical computation of homogenized properties of MFCS: application to a composite boom with MFC actuators and sensors. In: Ostachowicz W, Holnicki-Szulc J, Mota Soares CA (eds) III thematic ECCOMAS conference on smart structure and materials, Gdansk, Poland, 9–11 July

    Google Scholar 

  8. Deraemaeker A, Nasser H, Benjeddou A, Preumont A (2009) Mixing rules for the piezoelectric properties of macro fiber composites. J Intel Mater Sys Struct 20:1475–1482

    Article  Google Scholar 

  9. Raja S, Ikeda T (2008) Concept and electro-elastic of shear actuated fiber composite using micro-mechanics approach. J Intel Mater Sys Struct 19:1173–1183

    Article  Google Scholar 

  10. Tan P, Tong L (2001) Micro-electromechanics models for piezoelectric-fiber-reinforced composite materials. Compos Sc Tech 61:759–769

    Article  Google Scholar 

  11. Otero JA et al (2005) Dynamic behavior of a layered piezocomposite using the asymptotic homogenization method. Mech Mater 37:33–44

    Article  Google Scholar 

  12. Kim DK, Kim HI, Han JH, Kwon KJ (2008) Experimental investigation on the aerodynamic characteristics of a bio-mimetic flapping wing with macro-fiber composites. J Intel Mater Sys Struct 19:423–431

    Article  Google Scholar 

  13. Benjeddou A (2007) Shear-mode piezoceramic advanced materials and structures: a state of the art. Mech Adv Mater Struct 14:263–275

    Article  Google Scholar 

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Correspondence to Ayech Benjeddou .

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Benjeddou, A., Al-Ajmi, M. (2011). Analytical Homogenizations of Piezoceramic d15 Shear Macro-fibre Composites. In: Kuna, M., Ricoeur, A. (eds) IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials. IUTAM Bookseries, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9887-0_22

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  • DOI: https://doi.org/10.1007/978-90-481-9887-0_22

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-9886-3

  • Online ISBN: 978-90-481-9887-0

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