Micromechanics models for the effective nonlinear electro-mechanical responses of piezoelectric composites

Lin, Chien Hong; Muliana, Anastasia

doi:10.1007/s00707-013-0823-4

Cited by 36 publications

(16 citation statements)

References 31 publications

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“…Equations (8), (10) and (11) make use of standard indicial notation, where repeated indices indicate summation, with the addition that lower case indices take on the values 1-3 and upper case indices take on the values 1-4. Note that the constraint tensor S MnAb can be evaluated for a continuous fiber inclusion by taking the limit as one of a , 1 a , 2 or a 3 tend to infinity.…”

Section: The Dunn and Taya Micromechanics Approachmentioning

confidence: 99%

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Multiscale modeling of PVDF matrix carbon fiber composites

Greminger

Haghiashtiani

2017

Modelling Simul. Mater. Sci. Eng.

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Self-sensing carbon fiber reinforced composites have the potential to enable structural health monitoring that is inherent to the composite material rather than requiring external or embedded sensors. It has been demonstrated that a self-sensing carbon fiber reinforced polymer composite can be created by using the piezoelectric polymer polyvinylidene difluoride (PVDF) as the matrix material and using a Kevlar layer to separate two carbon fiber layers. In this configuration, the electrically conductive carbon fiber layers act as electrodes and the Kevlar layer acts as a dielectric to prevent the electrical shorting of the carbon fiber layers. This composite material has been characterized experimentally for its effective d 33 and d 31 piezoelectric coefficients. However, for design purposes, it is desirable to obtain a predictive model of the effective piezoelectric coefficients for the final smart composite material. Also, the inverse problem can be solved to determine the degree of polarization obtained in the PVDF material during polarization by comparing the effective d 33 and d 31 values obtained in experiment to those predicted by the finite element model. In this study, a multiscale micromechanics and coupled piezoelectricmechanical finite element modeling approach is introduced to predict the mechanical and piezoelectric performance of a plain weave carbon fiber reinforced PVDF composite. The modeling results show good agreement with the experimental results for the mechanical and electrical properties of the composite. In addition, the degree of polarization of the PVDF component of the composite is predicted using this multiscale modeling approach and shows that there is opportunity to drastically improve the smart composite's performance by improving the polarization procedure.

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Section: The Dunn and Taya Micromechanics Approachmentioning

confidence: 99%

“…Previous techniques for modeling piezoelectric composites have focused on the micromechanics approach of predicting the electromechanical properties of the composite at the scale of the inclusions [7][8][9][10][11]. These techniques have been shown to be accurate for predicting the properties at the microscale.…”

Section: Introductionmentioning

confidence: 99%

Multiscale modeling of PVDF matrix carbon fiber composites

Greminger

Haghiashtiani

2017

Modelling Simul. Mater. Sci. Eng.

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“…The matrix of the hybrid piezocomposite is first considered as elastic solid such as Araldite D while the polarized PZT-G1195 is used for the inhomogeneities 4 . The material properties of the Araldite D and polarized PZT-G1195 used for simulations reported in [42] and [25], respectively. Figure 4 shows the effective transverse stress 11 σ and longitudinal stress 33 σ due to an applied electric field 3 E along the poling direction, which is the longitudinal fiber direction (x 3 axis) up to 1 MV/m 5 for a fully constrained displacement of the PZT-G1195/[PZT-G1195/Araldite D] hybrid piezocomposite with PZT-G1195 fiber volume fraction (VF) = 0.4 and several PZT-G1195 particle VFs = 0 -0.5.…”

Section: Parametric Studiesmentioning

confidence: 99%

“…in the hybrid-unit-cell model it is necessary to use the constitutive relations for the piezoelectric and polymer constituents together with the linearized micromechanical relations from the fibrous unit cell and the particulate unit cells. The linearized micromechanical relations for the fibrous and particulate unit cells can be found in [25]. Because of the nonlinear constitutive relations for the constituents, the linearized micromechanical relations generally violate the overall nonlinear responses, which results in the following residual vector: , ,…”

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confidence: 99%

Nonlinear and Rate-Dependent Hysteretic Responses of Active Hybrid Composites

Lin¹,

Muliana²

2016

MSA

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Nonlinear electro-mechanical behaviors of piezoelectric materials and viscoelastic nature of polymers result in the overall nonlinear and hysteretic responses of active polymeric composites. This study presents a hybrid-unit-cell model for obtaining the effective nonlinear and rate-dependent hysteretic electro-mechanical responses of hybrid piezocomposites. The studied hybrid piezocomposites consist of unidirectional piezoelectric fibers embedded in a polymeric matrix, which is reinforced with piezoelectric particles. The hybrid-unit-cell model is derived based on a unit-cell model of fiber-reinforced composites consisting of fiber and matrix subcells, in which the matrix subcells are comprised of a unit-cell model of particle-reinforced composites. Nonlinear electro-mechanical responses are considered for the piezoelectric constituents while a viscoelastic solid constitutive model is used for the polymer constituent. The hybrid-unit cell model is used to examine the effects of different responses of the constituents, microstructural arrangements, and loading histories on the overall nonlinear and hysteretic electro-mechanical responses of the hybrid piezocomposites, which are useful in designing active polymeric composites.

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“…dilute, Mori-Tanaka, self-consistent, and differential models), Aboudi (1998) used the generalized method of cells model (presented in Aboudi, 1991), and Odegard (2004) extended Dvorak and Srinivas' (1999) model. Only limited micromechanical models consider the nonlinear and field-dependent responses of PZTs embedded in an elastic matrix in predicting the responses of piezocomposites (Lin and Muliana, 2013;Muliana and Lin, 2011;Tan and Tong, 2001). For predicting responses of composites having piezoelectric inhomogeneities in a linear viscoelastic matrix, Li and Dunn (2001b) as well as Jiang and Batra (2001) used the correspondence principle of linear viscoelasticity within the Mori-Tanaka model in order to determine the effective complex electromechanical moduli for piezoelectric fiber-reinforced and laminated composites.…”

Section: Introductionmentioning

confidence: 99%

Micromechanical models for the effective time-dependent and nonlinear electromechanical responses of piezoelectric composites

Lin

Muliana

2013

Journal of Intelligent Material Systems and Structures

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This study introduces micromechanical models for analyzing the overall electromechanical responses of piezoelectric composites comprising polarized piezoelectric ceramics and polymeric constituents. The polarized piezoelectric ceramics can experience nonlinear electromechanical responses due to an application of large electric fields, while the polymer exhibits viscoelastic response. Thus, the piezoelectric composites can experience significant time-dependent and nonlinear electromechanical coupling behaviors. Two micromechanical models are considered: the Mori–Tanaka and unit-cell models. Linearized micromechanical relations are first defined for obtaining the overall responses of the piezoelectric composites followed by iterative schemes in order to correct errors from linearizing the nonlinear responses. Numerical results are presented for two composite systems, that is, piezoelectric unidirectional fiber with circular/square cross section and spherical/cubic particle inhomogeneities embedded in a polymeric matrix. The linear electromechanical responses from the two micromechanical models are compared with the experimental data available in the literature. Parametric studies are performed in order to examine the effect of inhomogeneity geometry and compositions and prescribed boundary conditions on the overall time-dependent and nonlinear electromechanical responses of the composites.

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Micromechanics models for the effective nonlinear electro-mechanical responses of piezoelectric composites

Cited by 36 publications

References 31 publications

Multiscale modeling of PVDF matrix carbon fiber composites

Multiscale modeling of PVDF matrix carbon fiber composites

Nonlinear and Rate-Dependent Hysteretic Responses of Active Hybrid Composites

Micromechanical models for the effective time-dependent and nonlinear electromechanical responses of piezoelectric composites

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