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Predicting the Coupling Properties of Axially-Textured Materials
Centro de Investigación en Materiales Avanzados, Miguel de Cervantes 120, Chihuahua, Chih 31109, Mexico
Delphi Automotive Systems, The Mexico Technical Center, Av Hermanos Escobar No 5756, Ciudad Juarez, Chih 32310, Mexico
Diamond Light Source Ltd., Diamond House, Harwell Science and Innovation Campus, Didcot, Oxfordshire OX11 0DE, UK
Facultad de Ciencias Químicas, Universidad Autónoma de Chihuahua, Nuevo Campus Universitario, Circuito Universitario Chihuahua, Chih 31125, Mexico
* Author to whom correspondence should be addressed.
Received: 12 September 2013; in revised form: 21 October 2013 / Accepted: 23 October 2013 / Published: 30 October 2013
Abstract: A description of methods and computer programs for the prediction of “coupling properties” in axially-textured polycrystals is presented. Starting data are the single-crystal properties, texture and stereography. The validity and proper protocols for applying the Voigt, Reuss and Hill approximations to estimate coupling properties effective values is analyzed. Working algorithms for predicting mentioned averages are given. Bunge’s symmetrized spherical harmonics expansion of orientation distribution functions, inverse pole figures and (single and polycrystals) physical properties is applied in all stages of the proposed methodology. The established mathematical route has been systematized in a working computer program. The discussion of piezoelectricity in a representative textured ferro-piezoelectric ceramic illustrates the application of the proposed methodology. Polycrystal coupling properties, predicted by the suggested route, are fairly close to experimentally measured ones.
Keywords: properties prediction; polycrystals; texture; piezoelectricity; computer modeling
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Fuentes-Cobas, L.E.; Muñoz-Romero, A.; Montero-Cabrera, M.E.; Fuentes-Montero, L.; Fuentes-Montero, M.E. Predicting the Coupling Properties of Axially-Textured Materials. Materials 2013, 6, 4967-4984.
Fuentes-Cobas LE, Muñoz-Romero A, Montero-Cabrera ME, Fuentes-Montero L, Fuentes-Montero ME. Predicting the Coupling Properties of Axially-Textured Materials. Materials. 2013; 6(11):4967-4984.
Fuentes-Cobas, Luis E.; Muñoz-Romero, Alejandro; Montero-Cabrera, María E.; Fuentes-Montero, Luis; Fuentes-Montero, María E. 2013. "Predicting the Coupling Properties of Axially-Textured Materials." Materials 6, no. 11: 4967-4984.