Numerical Study of Characteristic Equations of Thermoelastic Waves Propagating in a Uniaxial Prestressed Isotropic Plate
Joint Authors
Hsu, Shih-Ming
Yin, Ching-Chung
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-18
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Thermoelastic waves propagating in an isotropic thin plate exerted by a uniaxial tensile stress are represented in this work.
Characteristic equation of guided thermoelastic waves is formulated based on the theory of acoustoelasticity and classical thermoelasticity.
Curve-tracing method for complex root finding is used to determine the attenuation, which is the imaginary part of the complex-value wavenumber.
It is found that each plate mode of thermoelastic wave propagating in an isotropic plate with or without prestress has a minimum attenuation at a specific frequency except the A0 mode.
These modes are called the Lamé modes, which are the volume resonances in the thickness direction and propagate along the plate with the least energy dissipation.
Frequency spectra of the phase velocity dispersion and attenuation of thermoelastic waves propagating along various orientations in the uniaxial prestressed thin plate have further been discussed.
American Psychological Association (APA)
Hsu, Shih-Ming& Yin, Ching-Chung. 2011. Numerical Study of Characteristic Equations of Thermoelastic Waves Propagating in a Uniaxial Prestressed Isotropic Plate. ISRN Applied Mathematics،Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-499304
Modern Language Association (MLA)
Hsu, Shih-Ming& Yin, Ching-Chung. Numerical Study of Characteristic Equations of Thermoelastic Waves Propagating in a Uniaxial Prestressed Isotropic Plate. ISRN Applied Mathematics No. 2011 (2011), pp.1-16.
https://search.emarefa.net/detail/BIM-499304
American Medical Association (AMA)
Hsu, Shih-Ming& Yin, Ching-Chung. Numerical Study of Characteristic Equations of Thermoelastic Waves Propagating in a Uniaxial Prestressed Isotropic Plate. ISRN Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-16.
https://search.emarefa.net/detail/BIM-499304
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-499304