Kube Christopher M, Arguelles Andrea P
Weapons and Material Research Directorate, U.S. Army Research Laboratory, 4600 Deer Creek Loop, Aberdeen Proving Ground, Maryland 21005-5069, USA.
X-wave Innovations, Inc., 555 Quince Orchard Road Suite 510, Gaithersburg, Maryland 20878, USA
J Acoust Soc Am. 2017 Aug;142(2):EL224. doi: 10.1121/1.4998139.
This letter considers the combined effects of quadratic and cubic nonlinearity on plane wave propagation in generally anisotropic elastic solids. Displacement solutions are derived that represent the fundamental, second-, and third-harmonic waves. In arriving at the solutions, the quadratic and cubic nonlinearity parameters for generally anisotropic materials are defined. The effects of quadratic and cubic nonlinearity are shown to influence the amplitude and phase of the fundamental wave. In addition, the phase of the third-harmonic depends on a simple combination of the quadratic and cubic nonlinearity parameters. Nonlinearity parameters are given explicitly for materials having isotropic and cubic symmetry. Lastly, acoustic nonlinearity surfaces are introduced, which illustrate the nonlinearity parameters as a function of various propagation directions in anisotropic materials.
本文探讨了二次和三次非线性对一般各向异性弹性固体中平面波传播的综合影响。推导了表示基波、二次谐波和三次谐波的位移解。在求解过程中，定义了一般各向异性材料的二次和三次非线性参数。结果表明，二次和三次非线性效应会影响基波的振幅和相位。此外，三次谐波的相位取决于二次和三次非线性参数的简单组合。明确给出了具有各向同性和立方对称性材料的非线性参数。最后，引入了声学非线性表面，它将非线性参数表示为各向异性材料中不同传播方向的函数。
