![]() Acta Mechanica 228, 495–529 (2017)Įzzin, H., Ben Amor, M., Ben Ghozlen, M.H.: Propagation behavior of SH waves in layered piezoelectric/piezomagnetic plates. 36, 125–145 (1991)Ĭhaudhary, S., Sahu, S.A., Singhal, A.: Analytic model for Rayleigh wave propagation in piezoelectric layer overlaid orthotropic substratum. 136, 277–282 (1997)Ĭantrell, J.H., Salama, K.: Acousto-elastic characterisation of materials. Kaczmarek, M., Hribek, P., Eason, R.W.: Near-infrared incoherent coupling and photorefractive response time of ’blue’ Rh:BaTiO3. The relationships between the invariant third-order coefficients presented in this work provide a number of attractive properties for use in mechanical and physical applications. To the authors’ knowledge, rechecking of the relationships between the invariant third-order constants and comparison with this last reference has not been discussed yet. In this purpose, we found some contradictions between our results and a former paper published in Journal of Applied Physics. The numerical procedure built using the software MATLAB is based on coordinate system transformations performed on the eigenbasis of their corresponding symmetry axes three- and sixfold. The obtained results are extensions to previous calculations in this area which bring some corrections to certain published combinations related to the invariance rules. In fact, the enumeration includes the high-order tensors involved in the analysis of nonlinear behaviors associated with various electromechanical coupling forms. The investigation is limited to trigonal and hexagonal crystalline structures, which represent the most often encountered symmetry classes for the piezoelectric materials. In this context, our purpose is to tabulate the invariant third-order elastic coefficients including the piezoelectric, electrostrictive, and dielectric corrections. The aim of the acousto-elastic theory was to measure ultrasonic velocity changes which characterize the mechanical nonlinearity of a prestressed material.
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