“…Matrix, reinforcement, and interphase properties are available in Table 2. 42 This figure reveals that the predicted values are in close agreement with those in Zhong et al. 42 Figure 10.Comparison between the results of the present study and those in Zhong et al.…”
In the present study, the effect of PZT-5A piezoelectric interphase on the effective thermo-magneto-electro-elastic properties of CoFe2O4 piezomagnetic matrix composites reinforced with carbon fibers is investigated. In this type of three-phase smart composite, the unidirectional fiber is coated with the piezoelectric shell. To this end, the fully coupled thermo-magneto-electro-elastic constitutive relations are developed for a unit cell-based micromechanical model in conjunction with a proper representative volume element. The influences of piezoelectric interphase thickness on the effective properties of the unidirectional smart composite are extensively investigated at different carbon fiber volume fractions up to 70%. The results demonstrate that piezoelectric interphase can greatly affect the overall thermo-magneto-electro-elastic properties of the smart composites. For two-phase smart composites, the present predictions are found to be in close proximity with the Mori–Tanaka results, which validates the present model.
“…Matrix, reinforcement, and interphase properties are available in Table 2. 42 This figure reveals that the predicted values are in close agreement with those in Zhong et al. 42 Figure 10.Comparison between the results of the present study and those in Zhong et al.…”
In the present study, the effect of PZT-5A piezoelectric interphase on the effective thermo-magneto-electro-elastic properties of CoFe2O4 piezomagnetic matrix composites reinforced with carbon fibers is investigated. In this type of three-phase smart composite, the unidirectional fiber is coated with the piezoelectric shell. To this end, the fully coupled thermo-magneto-electro-elastic constitutive relations are developed for a unit cell-based micromechanical model in conjunction with a proper representative volume element. The influences of piezoelectric interphase thickness on the effective properties of the unidirectional smart composite are extensively investigated at different carbon fiber volume fractions up to 70%. The results demonstrate that piezoelectric interphase can greatly affect the overall thermo-magneto-electro-elastic properties of the smart composites. For two-phase smart composites, the present predictions are found to be in close proximity with the Mori–Tanaka results, which validates the present model.
“…They were estimated as explained in Section 2.4 for the set of H B considered herein. We consider for simulation the value 10 16 (instead of infinity) for the dielectric constant of Galfenol and Terfenol-D, because it is significantly higher than any other property value. We also tested the results for several higher values and few lower ones, and no significant influence on the ME coefficient was obtained.…”
Section: Resultsmentioning
confidence: 99%
“…The asymptotic homogenization method (AHM) has also been applied to study the ME coupling [2,3,15]. The interest on this topic has maintained along the years until present days [16,17]. Finally, it is worthy to mention that nowadays, ME properties can be measured at a microstructure local level [18].…”
Communicated by I. SevostianovGalfenol offers potential opportunities to build composite materials with higher magnetoelectric (ME) coupling coefficients. This work is mainly focused on exploring the ME coupling in composites made with Galfenol. A revision of effective properties estimation is based on the prediction obtained through an implementation of the asymptotic homogenization method for magneto-electro-elastic composites considering two types of composites: laminated and fiber reinforced. As constituents, Barium Titanate is considered as the piezoelectric phase and Galfenol as the magnetostrictive one. For the sake of comparison, Terfenol-D and Cobalt Ferrite are also considered. The herein obtained ME coefficients are higher than most ones reported in the literature when comparison is possible. In the literature, two types of ME coefficients can be found: one is the voltage ME, reported in V/cmOe, and the other one is the coupling ME reported in Ns/VC. Herein, we focused on the connection between these coefficients in order to facilitate the application of the coupling ME calculated by asymptotic homogenization method on the experimental measured voltage ME coefficient.Also for a quasi-static approximation, the electric E and magnetic H fields and his relations with their respective potentials and are known by means of the quasi-static Maxwell's equations:
“…Lee et al (2019) deduced the formulations of homogeneous effective properties using the asymptotic expansion. The effective mechanical characteristics of two-phase materials were probed on the basis of interpolative homogenization (Tian et al, 2019; Zhong et al, 2015). Clearly, most micromechanical problems can be solved precisely and efficiently by AHM.…”
The node-based smoothed radial point interpolation method combined with the asymptotic homogenization method was proposed, as an addition to the finite element method, to address the static and dynamic reactions of magneto-electro-elastic coupling micromechanical problems. First, several basic equations for relevant problems were derived. Second, asymptotic homogenization method was utilized to determine the material properties of magneto-electro-elastic nanomaterials. Third, node-based smoothed radial point interpolation method was applied to obtain the discrete equations of magneto-electro-elastic nanostructures. Then, the Newmark method was introduced to solve the response of microcosmic problems. Finally, several numerical examples were calculated to prove the accuracy, convergence, and reliability of node-based smoothed radial point interpolation method by comparing the results of node-based smoothed radial point interpolation method with those of finite element method.
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