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Accession number: 20125215842982
Title: Wentzel-Kramers-Brillouin solution of cut-off frequency for horizontal shear (SH)
waves in various inhomogeneous thin films
Authors: Cao, Xiaoshan1 ; Shi, Junping1 ; Jin, Feng2/曹小;师俊平;金峰
Author affiliation:
1 Department of Engineering Mechanics, School of Civil Engineering and Architecture, Xian
University of Technology, China
2 MOE Key Laboratory for Strength and Vibration, Xian Jiaotong University, China
Corresponding author: Cao, X. (caoxsh@yahoo.com.cn)
Source title: Philosophical Magazine Letters
Abbreviated source title: Philos Mag Lett
Volume: 93
Issue: 1
Issue date: January 1, 2013
Publication year: 2013
Pages: 34-41
Language: English
ISSN: 09500839
E-ISSN: 13623036
CODEN: PMLEEG
Document type: Journal article (JA)
Publisher: Taylor and Francis Ltd., 4 Park Square, Milton Park, Abingdon, Oxfordshire,
OX14 4RN, United Kingdom
Abstract: The Wentzel-Kramers-Brillouin method is employed to study the cut-off
frequencies of the horizontal shear waves in a freestanding functionally graded
piezoelectric-piezomagnetic material film with the electrically and magnetically open boundary
conditions. An analytical solution, which could be used in analyzing the problems of various
functionally graded materials, is proven to have high precision by analytical analysis and a
numerical example. The results reveal that the set of cut-off frequencies is a series of
approximate arithmetic progressions. A theoretical foundation based on the relationship
between the cut-off frequencies and the materials gradient property is established for
nondestructive evaluation. © 2013 Taylor & Francis Group, LLC.
Number of references: 15
Main heading: Shear flow
Controlled terms: Beams and girders - Functionally graded materials -
Nondestructive examination - Numerical analysis
Uncontrolled terms: Analytical analysis - Arithmetic progressions - Functionally
graded - High precision - Horizontal shear - Inhomogeneous thin films - Non

Summary of content (540 pages)