Low frequency limits for Lamb waves in homogeneous, stratified and functionally graded anisotropic plates

Author(s):  
Sergey V. Kuznetsov
2018 ◽  
Vol 25 (6) ◽  
pp. 1227-1232 ◽  
Author(s):  
Sergey V. Kuznetsov

Propagation of harmonic Lamb waves in plates made of functionally graded materials with transverse inhomogeneity is analyzed by applying Cauchy six-dimensional formalism previously developed for the study of Lamb wave propagation in homogeneous or stratified anisotropic plates. For anisotropic plates with arbitrary transverse inhomogeneity a closed form implicit solution for the dispersion equation is derived and analyzed.


2014 ◽  
Vol 60 (1) ◽  
pp. 95-103 ◽  
Author(s):  
S. V. Kuznetsov

2012 ◽  
Vol 39 (3) ◽  
pp. 0303008
Author(s):  
许伯强 Xu Baiqiang ◽  
陈丽娟 Chen Lijuan ◽  
徐桂东 Xu Guidong ◽  
徐晨光 Xu Chenguang ◽  
骆英 Luo Ying

2002 ◽  
Vol 60 (3) ◽  
pp. 577-587 ◽  
Author(s):  
Sergey V. Kuznetsov

Author(s):  
Jichao Xu ◽  
Nuoke Wei ◽  
Wujun Zhu ◽  
Yanxun Xiang ◽  
Fuzhen Xuan ◽  
...  

2019 ◽  
Vol 36 (1) ◽  
pp. 1-6
Author(s):  
S. V. Kuznetsov

ABSTRACTPropagation of harmonic Lamb waves in plates made of functionally graded materials (FGM) with transverse inhomogeneity is studied by combination of the Cauchy six-dimensional formalism and matrix exponential mapping. For arbitrary transverse inhomogeneity a closed form implicit solution for dispersion equation is derived and analyzed. Both the dispersion equation and the corresponding solution resemble ones obtained for stratified media. The dispersion equation and the corresponding solution are applicable to media with arbitrary elastic (monoclinic) anisotropy.


2007 ◽  
Vol 353-358 ◽  
pp. 2345-2348
Author(s):  
Zheng Hua Qian ◽  
Feng Jin ◽  
Zi Kun Wang ◽  
Kikuo Kishimoto

The diffraction of Lamb waves by a finite delamination situated on a random plane parallel to the symmetric plane of a laminated plate is taken into account. Two imaginary planes are introduced to solve the problem by adopting the method of mode matching. By taking an appropriate finite number of terms of the infinite expansion series and some selected points on the two imaginary planes through convergence and precision tests, a matrix equation is obtained to evaluate the expansion coefficients numerically. Reflection coefficients versus the normalized length a/h and the relative location h1/h of the delamination are calculated in the low-frequency domain, the relative errors are found to be less than 1%. Results obtained indicate that the theory developed in this paper is meaningful for the detection of both the size and the location of a delamination in a laminated plate by cooperating with experimental techniques for the non-destructive evaluation (NDE) technology.


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