Acousto-elastic theory for the coupling parameters in terms of nonlinear elastic, piezoelectric, electrostrictive, and dielectric constants in trigonal and hexagonal crystalline systems: applied in the crystal and solid-state physics
Acousto-elastic theory for the coupling parameters in terms of nonlinear elastic, piezoelectric, electrostrictive, and dielectric constants in trigonal and hexagonal crystalline systems: applied in the crystal and solid-state physics
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DOI：
10.1007/s00707-018-2316-y
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发表时间：
2018-12
期刊：
影响因子：
2.7
通讯作者：
F. Takali;Souhir Msedi;Cherif Othmani;A. Njeh;W. Donner;M. Ghozlen
中科院分区：
文献类型：
--
作者：
F. Takali;Souhir Msedi;Cherif Othmani;A. Njeh;W. Donner;M. Ghozlen
声弹性理论的目的是测量表征预应力材料的机械非线性的超声速度变化。在这种情况下，我们的目的是列出不变的三阶弹性系数，包括压电，电致伸缩和介电校正。调查仅限于三角和六方晶体结构，这代表了最常见的对称类的压电材料。事实上，枚举包括与各种机电耦合形式相关的非线性行为分析中涉及的高阶张量。所得到的结果是扩展到以前的计算在这方面带来了一些更正某些公布的组合相关的不变性规则。使用MATLAB软件建立的数值计算程序是基于坐标系变换上进行的特征基的相应的对称轴的三倍和六倍。在此基础上，我们发现了一些矛盾，我们的结果和以前的论文发表在应用物理杂志。据作者所知，还没有讨论过三阶不变常数之间关系的重新检查以及与最后一个参考文献的比较。在这项工作中提出的不变的三阶系数之间的关系提供了一些有吸引力的性质，用于在机械和物理应用。
The aim of the acousto-elastic theory was to measure ultrasonic velocity changes which characterize the mechanical nonlinearity of a prestressed material. In this context, our purpose is to tabulate the invariant third-order elastic coefficients including the piezoelectric, electrostrictive, and dielectric corrections. The investigation is limited to trigonal and hexagonal crystalline structures, which represent the most often encountered symmetry classes for the piezoelectric materials. In fact, the enumeration includes the high-order tensors involved in the analysis of nonlinear behaviors associated with various electromechanical coupling forms. The obtained results are extensions to previous calculations in this area which bring some corrections to certain published combinations related to the invariance rules. 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. In this purpose, we found some contradictions between our results and a former paper published in Journal of Applied Physics. 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. 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.