2D elastic plane-wave diffraction by a stress-free wedge of arbitrary angle

JOURNAL OF COMPUTATIONAL PHYSICS

卷:394

Article

Chehade, Samar¹  Darmon, Michel¹  Lebeau, Gilles² 

[1] CEA Saclay, CEA LIST, DIGITEO LABs, Dept Imaging & Simulat Nondestruct Testing, Bat 565, F-91191 Gif Sur Yvette, France

[2] Univ Nice Sophia Antipolis, UMR CNRS 7351, Lab JA Dieudonne, F-06108 Nice, France

关键词: Elastic wedge;    Numerical methods (spectral and related methods);    Wave scattering;   

DOI  :  10.1016/j.jcp.2019.06.016

来源: Elsevier

【 摘 要 】

2D elastic plane wave diffraction by a stress-free wedge is a canonical problem of interest to researchers in many different fields. To our knowledge, no fully analytical resolution has been found and semi-analytical evaluations of asymptotic approximations have therefore become a common approach. In this paper, a method called the spectral functions method is developed in the aforementioned 2D configuration. This method has the advantage of being valid for wedge angles lower and higher than pi. The diffracted displacement field is expressed as an integral in terms of two unknown functions called the spectral functions. These functions are decomposed into two parts: one which can be computed analytically and the other which is approached numerically using a collocation method. The details of the corresponding numerical scheme are given and the method is validated numerically for all wedge angles. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free