The Implementation of Algorithm Iterative Conversion for Three-Component Composite on the Example of Solution of the Bending Plate Problem

Manabaev, Kayrat; Pavlov, Mikhail; Kazakova, Oksana; Vakurov, A A

doi:10.4028/www.scientific.net/kem.743.212

Cited by 1 publication

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“…The Voigt, Reuss and Hill approximations, applied with proper precautions, lead to acceptable estimates in single phase materials. As general tendency, Voigt and Reuss values are taken as bounds for the estimation of effective properties . Coupling properties in complex systems (say, composite magnetoelectrics) require more elaborated homogenization methods.…”

Section: Texture and Polycrystal Physical Propertiesmentioning

confidence: 99%

Texture and Electromagnetic Coupling Properties

et al. 2017

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The estimation of physical properties in textured polycrystals is reviewed. "Principal" properties, which relate actions and responses within the same subsystem (electric, elastic, ...), as well as "coupling" properties (e.g., piezomagnetism), linking actions, and responses associated with various subsystems (magneto-elastic, thermo-electric, ...) are analyzed. Tensor ranks from 1 to 4, with polar and axial characteristics are considered. Virtual-time inversion (the case of magnetoelectricity) is taken into account. Matrix and surface representations are considered. Significant differences in the effect of texture on properties arise from the diversity of properties tensors ranks and polar/axial natures. To predict the effective values of coupling properties, precautions required for application of the Voigt, Reuss, and Hill approximations are pointed out. At all stages of the proposed methodology, a symmetrized spherical harmonics treatment of the orientation distribution functions, the inverse pole figures and (single-and polycrystals) physical properties is applied. For the case of magnetostriction, a functional program for estimating polycrystal performance is included as Supporting Information. The input data are the single-crystal property coefficients and the polycrystal inverse pole figure parameters. The coincidence of predicted magnetostriction coefficients with experimentally measured values is satisfactory. Recently established considerations regarding the characterization of coupling properties in complex materials are divulged.

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Section: Texture and Polycrystal Physical Propertiesmentioning

confidence: 99%