Texture and Electromagnetic Coupling Properties Luis Edmundo Fuentes-Cobas,* María Cristina Grijalva-Castillo, Luis Fuentes-Montero, Jos  e Andr  es Matutes-Aquino, and Juan M endez-Nonell 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 approxima- tions 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 proper- ties in complex materials are divulged. 1. Introduction “Coupling” properties, in a given material, link one subsystem (say, elasticity) of the investigated object to a different subsystem (say, magnetism). Piezoelectricity, magne- tostriction and magnetoelectricity are examples of coupling properties. [1–3] Current technological requirements of high-performance transducers (sensors, actuators) demand deep and systematic studies of coupling properties. [4–6] Present work is part of a current research trend oriented to characterize the complex materi- als that are used in the manufacture of diverse sensors and actuators. Recent re- search in ferro-piezoelectric, [7–10] multifer- roic, [5,6] and magnetostrictive [11,12] materials illustrates the level of performances and scientific challenges that characterize the current state of the art. The introduction of composite materials opens new possibilities of diversification of the useable physical effects and/or increases the values of technologically interesting parameters. [13,14] This has led to the development of the theory of homogenization, [15,16] which makes pos- sible the prognosis of properties for complex multicomponent materials. [17,18] In the mentioned scenario, the present article is devoted to review the influence of crystallographic textures on electromag- netic coupling properties. In texture re- search, the influence of preferred orientation on “principal” properties (action and effect on the same subsystem) has been far more investigated and applied than the role of texture on coupling properties. [19,20] Knowledge about texture and mechanical properties has grown impres- sively. [21,22] In what follows, textured polycrystals coupling properties are characterized. The case of electromagnetic interactions is analyzed in detail. Some criteria and methods for estimating effective macroscopic properties are given. An open source computer program for a predictive estimation of magnetostriction in axially textured polycrystals is provided. Throughout, the article attention is focused on different coupling interactions to discuss different components of the general theme considered in the work. 2. The Representation of Physical Properties: Principal and Coupling Interactions 2.1. Properties Tensors A linear description of materials physical properties is expressed by the tensor constitutive Equation 1: Dr. L. E. Fuentes-Cobas, Dr. J. A. Matutes-Aquino, Dr. J. M endez-Nonell Centro de Investigaci on en Materiales Avanzados, S.C., Miguel de Cervantes 120, Complejo Industrial Chihuahua, Chihuahua, 31136, M exico E-mail: luis.fuentes@cimav.edu.mx Dr. M. C. Grijalva-Castillo CONACYT - Centro de Investigaci on en Materiales Avanzados, S.C., Miguel de Cervantes 120, Complejo Industrial Chihuahua, Chihuahua, 31136, M exico Dr. L. Fuentes-Montero Diamond Light Source Ltd, Harwell Science and Innovation Campus, Didcot, Oxfordshire, OX11 0DE, United Kingdom The ORCID identification number(s) for the author(s) of this article can be found under https://doi.org/10.1002/adem.201700827. DOI: 10.1002/adem.201700827 Reviews www.aem-journal.com REVIEW Adv. Eng. Mater. 2017, 1700827 © 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim 1700827 (1 of 13)