Paper Title:
Far Field Solution of Circular Inclusion and Linear Crack by SH-Wave
  Abstract

Circular inclusion exists widely in natural media, engineering materials and structures, and defects are usually found around the inclusion. When a composite material with circular inclusion and cracks is impacted by the dynamic load, on the one hand, the scattering field produced by the circular inclusion and cracks determines the dynamic stress concentration factor around the circular inclusion, and therefore determines whether the material is damaged or not; on the other hand, the scattering field also presents many characteristic parameters of the inclusion and cracks such as defect composition, location and shape, so the research on the scattering far-field is important to the geological prospects, seismological investigation, non-destruction evaluation and the other fields. In the ocean acoustics, the scattering far-field of the acoustic wave is also used in the under-water survey, object distinguishing and so on. In theory, the scattering solution of elastic waves is one of the basic topics of reverse problems on elastic wave. On the basis of literature, few paper concentrates on the scattering far-field solution of SH-wave by a circular inclusion and a linear crack around the inclusion. In the paper a new model and a new method are presented in order to investigate deeply on this kind problem. The paper uses the Green’s function to study the scattering far-field of an elastic wave by a circular inclusion and a linear crack. The Green’s function should be a fundamental solution of displacement field for an elastic space possessing a circular inclusion while bearing out-of-plane harmonic line source force at any point. In terms of the solution of SH-wave’s scattering by an elastic space with a circular inclusion, anti-plane stresses which are the same in quantity but opposite in direction to those mentioned before, are loaded at the region where the linear crack is in existent actually; Then, the expressions of the displacement and stresses are given when the circular inclusion and linear crack exist at the same time. When the special Green’s function has been constructed and close field solution has been illustrated, the far field of scattered wave is studied. The displacement mode of scattered wave at far field and scattering cross-section are given. At last, an example is given and its numerical results are discussed.

  Info
Periodical
Key Engineering Materials (Volumes 462-463)
Edited by
Ahmad Kamal Ariffin, Shahrum Abdullah, Aidy Ali, Andanastuti Muchtar, Mariyam Jameelah Ghazali and Zainuddin Sajuri
Pages
455-460
DOI
10.4028/www.scientific.net/KEM.462-463.455
Citation
H. L. Li, "Far Field Solution of Circular Inclusion and Linear Crack by SH-Wave", Key Engineering Materials, Vols. 462-463, pp. 455-460, 2011
Online since
January 2011
Authors
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Hong Liang Li, Hong Li, Yong Yang
Abstract:In mechanical engineering, circular hole is used widely in structure design. When the structure is overloaded or the load is changed...
105
Authors: Bai Tao Sun, Pei Lei Yan, Zai Lin Yang
Abstract:Based on Green’s function, complex function and multi-polar coordinate system, the far field solution of SH wave scattered by an elastic...
157
Authors: Xue Yi Zhang, Guang Ping Zou, Hong Liang Li
Abstract:Sacttering of SH-wave of combined deffectiveness which included single circular cavity and double linear cracks in elastic medium was...
825
Authors: Zai Lin Yang, Hua Nan Xu, Mei Juan Xu, Bai Tao Sun
Abstract:In this paper, we study the problems of scattering of out-of-plane line source load by half-space shallow-embedded circular lining structure...
329
Authors: Dong Ni Chen, Hui Qi, Yong Shi
Abstract:The scattering of SH-wave caused by the subsurface circular cavities in an elastic half-space covered with an elastic layer was discussed,...
226