The extended Durbin method and its application for piezoelectric wave propagation problems

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:50

Article

Ing, Yi-Shyong¹  Liao, Hsueh-Fen¹  Huang, Kuo-Shu¹ 

[1] Tamkang Univ, Dept Aerosp Engn, New Taipei City 25137, Taiwan

关键词: Wave propagation;    Transient;    Piezoelectric;    Layered medium;    Durbin method;    Inversion;   

DOI  :  10.1016/j.ijsolstr.2013.08.009

来源: Elsevier

【 摘 要 】

Based on the well-known Durbin method, an efficient numerical method was developed-for the inversion of the two-sided Laplace transform. The accuracy of the method was verified using examples. As an application of the method, transient elastic waves propagating in a two-layered piezoelectric medium subjected to anti-plane concentrated loading and in-plane electric displacement loading were investigated. One-sided and two-sided Laplace transforms were applied to determine the shear stresses and electric displacements in the double Laplace transform domain. Subsequently, the Durbin method for one-sided Laplace transform inversion and the extended Durbin method for two-sided Laplace transform inversion were used to implement the numerical inversions. Additionally, the numerical results of the transient stresses and electric displacements were evaluated and discussed. It showed that the arrival time of transient waves satisfies physical phenomena, and the transient solution oscillates near the static solution and rapidly approximates the static solution. (C) 2013 Elsevier Ltd. All rights reserved.

【 授权许可】

Free