The Polarization of Acoustic Waves in Cubic Crystals

Fein, A. E.; Smith, Charles S.

doi:10.1063/1.1702033

Cited by 11 publications

(2 citation statements)

References 3 publications

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“…[82, 35, 84–86, 226, 401–425], and cubic crystals are found in Refs. [98, 354, 420, 352, 426–498]. These compiled bibliographies, selected from a vast literature, are more germane to the specific topics discussed in this paper.…”

Section: Application To Cubicsmentioning

confidence: 99%

Acoustic properties of piezoelectric cubic crystals

Ballato

2023

Int J Ceramic Engine & Sci

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This paper is offered as a complementary adjunct to the many treatments of the electronic and photonic properties of cubic III–V and II–VI compounds appearing in the literature. These crystals typically exhibit piezoelectricity, due to the molecular dissymmetry, thereby allowing the inclusion of classical mechanical/acoustic features along with the quantum. We discuss the history of this modality and then illustrate its use by applying it to an electro‐elastic problem that has the estimable virtues of having an exact solution, along with wide practical applicability: determination of the piezocoupling values governing the excitation of thickness vibrations in thin cubic films or plates of arbitrary crystallographic orientation by electric fields directed either along, or lateral to, the thickness. Explicit results are given for orientations along the great‐circle paths connecting the principal directions [100], [110], and [111]. The formalism is then applied to GaAs as an example; it is further demonstrated that various results, such as the orientational variations of piezocoupling factors, are generally applicable to other members of the III–V and II–VI families by scaling. Ancillary aspects, such as errors due to misorientations, nonlinearities, and equivalent circuit representations, are described and discussed. This work is dedicated to Gerald W. Farnell (1925–2015), Prof. Emeritus, McGill University, Montréal, Canada.

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Section: Application To Cubicsmentioning

confidence: 99%

Acoustic properties of piezoelectric cubic crystals

Ballato

2023

Int J Ceramic Engine & Sci

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“…The Lankford value calculated from the ODF of the stretched specimen also coincides with the experimentally obtained one, within the relative error of ±0. 15. This means that the orientation change can be disregarded in case of Method B.…”

Section: Lankford Value and Texturementioning

confidence: 99%

Three Dimensional Representation of Texture and Anisotropies of Mechanical Properties in Cold Rolled Mild Steel Sheet

1982

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SynopsisThe present experiment has been made with two purposes. One is to make a precise analysis of textures of cold rolled and recrystallized mild steel sheets by means of a three-dimensional orientation distribution function (ODF). The materials used, are aluminium killed steel sheets and rimmed steel sheets.The other is to find a quantitative relationship between the anisotropy of mechanical properties of those sheets and the textures represented by the ODF. Young's modulus, Lankford value and propagation velocities of elastic waves are chosen as the mechanical properties and they are related to the ODF by the method proposed in this study.For the texture analysis, the development of the recrystallized textures is reasoned systematically. The preferred orientations in the recrystallized texture are also made clear by the ODF. The calculated values of the mechanical properties are all in good agreement with the experimentally obtained ones, that is, of Young's modules, Lankford value and the propagation velocity. The square of the propagation velocity is also correlated with the averaged Lankford value as theoretically predicted.

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