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A Micromechanics Model for Effective Coupled Thermo-Electro-Elastic Properties of Macro Fiber Composites with Interdigitated Electrodes

Published online by Cambridge University Press:  21 October 2014

M. Lezgy-Nazargah
M. Lezgy-Nazargah*
Affiliation:
Faculty of Civil Engineering, Hakim Sabzevari University, Sabzevar, Iran
*
* Corresponding author ([email protected]
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Abstract

In this study, a fully micromechanical model based on iso-field assumptions is developed for computing the effective coupled thermo-electro-elastic material properties of Macro Fiber Composites (MFCs) in the linear regime. The explicit formulations are derived using the thermo-electro-elastic constitutive equations under the iso-field assumptions and multiple loading conditions. The effects of piezoelectric fiber volume fraction and matrix properties on the effective material constants of MFCs are studied through some examples. In order to validate the accuracy of the present micromechanical formulations, comparisons have been made with other results available in the literature.

Keywords

Macro fiber compositesMicromechanicsInterdigit electrodesCoupled thermo-electro-elastic material properties
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 2 , April 2015 , pp. 183 - 199
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

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References

1.Williams, B. R., Park, G., Inman, D. J. and Wilkie, W. K., “An overview of composite actuators with pie-zoceramic fibers,” Proceeding of 20th International Modal Analysis Conference, US (2002).Google Scholar
2.Bent, A. A., “Piezoelectric fiber composites for structural actuation,” M.S. Thesis, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Massachusetts, US (1994).Google Scholar
3.Bent, A. A., Hagood, N. W. and Rodgers, J. P., “An-isotropic Actuation with Piezoelectric Fiber Composites,” Journal of Intelligent Material Systems and Structures, 6, pp. 338–349 (1995).CrossRefGoogle Scholar
4.Bent, A. A., “Active fiber composites for structural actuation,” Ph.D. Dissertation, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Massachusetts, US (1997).Google Scholar
5.Bent, A. and Hagood, N. W., “Piezoelectric Fiber Composites with Interdigitated Electrodes,” Journal of Intelligent Material Systems and Structures, 8, pp. 903–919 (1997).CrossRefGoogle Scholar
6.Wilkie, W. K., Bryant, R. G., High, J. W., Fox, R. L., Hellbaum, R. F., Jalink, A., Little, B. D. and Mirick, P. H., “Low-cost piezocomposite actuator for structural control applications,” Proceeding of 7th SPIE International Symposium on Smart Structures and Materials, US (2000).Google Scholar
7.Sodano, H. A., “Macro-fiber composites for sensing, actuation and power generation,” M.S. Thesis, Departaient of Mechanical Engineering, Virginia Polytechnic Institute and State University, Virginia, US (2003).Google Scholar
8.Mallik, N. and Ray, M. C., “Effective Coefficients of Piezoelectric Fiber Reinforced Composites,” AIAA Journal, 41, pp. 704–710 (2003).CrossRefGoogle Scholar
9.Ray, M. C., “Micromechanics of Piezoelectric Composites with Improved Effective Piezoelectric Constant,” International Journal of Mechanics of Materials and Design, 3, pp. 361–371 (2006).CrossRefGoogle Scholar
10.Nan, C. and Jin, F., “Multiple-Scattering Approach to Effective Properties of Piezoelectric Composites,” Physical Review B, 48, pp. 8578–8582 (1993).CrossRefGoogle ScholarPubMed
11.Hill, R., “Theory of Mechanical Properties of Fiber-Strengthened Materials-I, Elastic Behavior,” Journal of Mechanics of Physics and Solids, 12, pp. 199–212 (1964).CrossRefGoogle Scholar
12.Hill, R., “A Self Consistent Mechanics of Composite Materials,” Journal of Mechanics of Physics and Solids, 13, pp. 213–222 (1965).CrossRefGoogle Scholar
13.Chan, H. L. W. and Unsworth, J., “Simple Model for Piezoelectric Ceramic/Polymer 1 ~ 3 Composites Used in Ultrasonic Transducer Applications,” IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 36, pp. 434–441 (1989).CrossRefGoogle ScholarPubMed
14.Smith, W. A. and Auld, B. A., “Modelling 1 ~ 3 Composite Piezoelectrics: Thickness-Mode Oscillations,” IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control, 38, pp. 40–47 (1991).CrossRefGoogle ScholarPubMed
15.Dunn, M. L. and Taya, M., “Micromechanics Predictions of the Effective Electroelastic Moduli of Piezoelectric Composites,” International Journal of Solids and Structures, 30, pp. 161–75 (1993).CrossRefGoogle Scholar
16.Levin, V. M., Michelitsch, Th. and Sevostianov, I., “Spheroidal Inhomogeneity in a Transversely Isotropic Piezoelectric Medium,” Archive of Applied Mechanics, 70, pp. 673–693 (2000).CrossRefGoogle Scholar
17.Sabina, F. J., Rodriguez-Ramos, R., Bravo-Castillero, J. and Guinovart-Diaz, R., “Closed form Expressions for the Effective Coefficients of a Fiber-Reinforced Composite with Transversely Isotropic Constituents II: Piezoelectric and Hexagonal Symmetry,” Journal of Mechanics of Physics and Solids, 49, pp. 1463–1479 (2001).CrossRefGoogle Scholar
18.Levin, V. M., Sabina, F. J., Bravo-Castillero, J., Guinovart-Diaz, R., Rodrigues-Ramos, R. and Valdiviezo-Mijangos, O. C., “Analysis of Effective Properties of Electroelastic Composites Using the Self-Consistent and Asymptotic Homogenization Methods,” International Journal of Engineering Science, 46, pp. 818–834 (2008).CrossRefGoogle Scholar
19.Williams, R. B., Grimsley, B. W., Inman, D. J. and Wilkie, W. K., “Manufacturing and mechanics-based characterization of macro fiber composite actuators,” ASME International Mechanical Engineering Congress & Exposition, New York, US (2002).Google Scholar
20.Deraemaeker, A., Nasser, H., Benjeddou, A. and Preumont, A., “Mixing Rules for the Piezoelectric Properties of Macro Fiber Composites,” Journal of Intelligent Material Systems and Structures, 20, pp. 1475–1482 (2009).CrossRefGoogle Scholar
21.Zhang, H. Y. and Shen, Y. P., “Three-Dimensional Analysis for Rectangular 1 ~ 3 Piezoelectric Fiber-Reinforced Composite Laminates with the Interdigitated Electrodes Under Electromechanical Loadings,” Composites: Part B, 37, pp. 603–611 (2006).CrossRefGoogle Scholar
22.Jiang, J. P. and Li, D. X., “A New Finite Element Model for Piezothermoelastic Composite Beam,” Journal of Sound and Vibration, 306, pp. 849–864 (2007).CrossRefGoogle Scholar
23.Smart Material Corporation, “MFC Engineering Properties,” http://www.smart-material.com/MFC-product-main.html.Google Scholar
24.TRS Ceramics Corporation, “Piezoelectric Engineering Properties,” http://www.trsceramics.com/Materials/High-Sensitivity-Soft-Piezoelectric-Ceramics.Google Scholar
25.H.C. Materials Corporation, “Piezoelectric Engineering Properties,” http://www.hcmat.com/Pmn_Properties.html.Google Scholar
26.CTS Wireless Components, “Piezoelectric Engineering Properties,” http://www.ctscorp.com/components/PZT/supmat.asp.Google Scholar
27. Matweb, “Mechanical Properties of Copper, Kapton and Acrylic,” http://www.matweb.com/search/PropertySearch.aspx.Google Scholar
28. Engineeringtoolbox, “Coefficients of Linear Thermal Expansion,” http://www.engineeringtoolbox.com/linear-expansion-coefficients-d_95.html.Google Scholar
29. Engineering Fundamentals, “Epoxy Engineering Properties,” http://www.efunda.com/materials/materials_home/materials.cfm.Google Scholar
30.Park, J. S. and Kim, J. H., “Analytical Development of Single Crystal Macro Fiber Composite Actuators for Active Twist Rotor Blade,” Smart Materials and Structures, 14, pp. 745–753 (2005).CrossRefGoogle Scholar
31.Park, J. S. and Kim, J. H., “Suppression of Aero-Thermal Large Deflections and Snap-Through Behaviors of Composite Panels Using Macro Fiber Composite Actuators,” Smart Materials and Structures, 13, pp. 1448–1459 (2004).CrossRefGoogle Scholar