Current issue
Archive
About the Journal
About
Editorial Board
Abstract & Indexing
Contact
Editorial Policies
Authorship & COI
Ethical principles
Principles of Transparent Checklist
Open access
For Authors
Instructions to Authors
Detailing Guidelines for Authors
Review process
Review sheet
How to submit
Open Access license
ORIGINAL PAPER
Propagation of waves in the layer of a thermo-viscoelastic transversely isotropic medium
1
Department of CS&IT, Mazoon College, Muscat, Sultanate of Oman, OMAN
2
Department of Mathematics and Applied Sciences MEC, Muscat, Sultanate of Oman, OMAN
Online publication date: 2016-03-07
Publication date: 2016-02-01
International Journal of Applied Mechanics and Engineering 2016;21(1):21-35
KEYWORDS
ABSTRACT
The article is presented to enhance our knowledge about the propagation of Lamb waves in the layer of a viscoelastic transversely isotropic medium in the context of thermoelasticity with GN theory of type-II and III. Secular equations for symmetric and skew-symmetric modes of wave propagation in completely separate terms are derived. The amplitudes of displacements and temperature distribution were also obtained. Finally, the numerical solution was carried out for cobalt and the dispersion curves, amplitudes of displacements and temperature distribution for symmetric and skew-symmetric wave modes are presented to evince the effect of anisotropy. Some particular cases are also deduced.
REFERENCES (23)
1.
Brune J.N. (1970): Tectonic stress and the spectra of seismic shear waves from earthquakes. – [J]. J. Geophys. Res., vol.75, pp.4997-5009.
2.
Lord H. and Shulman Y.A. (1967): Generalized dynamical theory of thermoelasticity. – J. Mech. Phys. Solid, vol.15, pp.299-309.
3.
Green A.E. and Lindsay K.A. (1972): Thermoelasticity. – J. Elasticity, vol.2, pp.1-5.
4.
Chandrasekhariah D.S. (1998): Hyperbolic thermoelasticity: A review of recent literature. – Appl. Mech. Rev., vol.51, pp.705-729.
5.
Hetnarski R.B. and Iganaczak J. (1999): Generalized thermoelasticity. – J. Thermal Stresses, vol.22, pp.451-470.
6.
Green A.E. and Naghdi P.M. (1995): A united procedure for construction of theories of deformable media. I. Classical continuum physics, II. Generalized continua, III. Mixtures of Interacting continua. – Proc. Royal Soc. London Ser. A, vol.448, pp.335-356, pp.357-377, pp.379-388.
7.
Green A.E. and Naghdi P.M. (1991): A re-examination of the basic postulates of thermomechanics. – Proc. Royal Soc. London Ser. A, vol.432, pp.171-194.
8.
Green A.E. and Naghdi P.M. (1992): On undamped heat waves in an elastic solid. – J. Thermal Stresses, vol.15, pp.253-264.
9.
Green A.E. and Naghdi P.M. (1993): Thermoelasticity without energy dissipation. – J. Elasticity, vol.31, pp.189-208.
10.
Quintanilla R. (2002): Thermoelasticity without energy dissipation of materials with microstructure. – Applied Mathematical Modelling, vol.26, pp.1125-1137.
11.
Taheri H., Fariboz S. and Eslami M.R. (2004): Thermoelasticity solution of a layer using the Green-Neghdi model. – Journal of Thermal Stresses, vol.27, pp.795-809.
12.
Puri P. and Jordan P.M. (2004): On the propagation of plane waves in type-III thermoelastic media. – Proc. R. Soc. London. A, vol.460, pp.3203-3221.
13.
Lazzari B. and Nibbi R. (2008): On the exponential decay in thermoelasticity without energy dissipation an of type III in prence of an absorbing boundary. – J. Math. Anal. Appl., vol.338, pp.317-329.
14.
Roychoudhuri S.K. and Bandyopadhyay N. (2007): Interactions due to body forces in generalized thermo-elasticity III. – Comptures and Mathematics with Applications, vol.54, pp.1341-1352.
15.
Mukhopadhyay S. and Roushan Kumar (2008): A problem on thermoelastic interactionsin an infinite medium with a cylindrical hole in generalized thermoelasticity III. – Journal of Thermal Stresses, vol.31, pp.455-457.
16.
Quintanilla R. and Racke R. (2003): Stability inthermoelasticity of type III. – Discrete and Continuous Dynamical Systems-Series B, vol.3, No.3, pp.383-400.
17.
Quintanilla R. (2009): Type II thermoelasticity. A new aspect. – Journal of Thermal Stresses, vol.32, pp.290-307.
18.
Quintanilla R. (2001): Structural stability and continuous dependence of solutions of thermoelasticity of type III. – Discrete and Continuous Dynamical Systems-Series B, vol.1, No.4, pp.463-470.
19.
Quintanilla R. and Straughan B. (2004): A note on discontinuity waves in type III thermoelasticity. – Proc. R. Soc. Lond. A, vol.460, pp.1169-1175.
20.
Leseduarte M.C. and Quintanilla R. (2006): Thermal stresses in type III thermoelasticplates. – Journal of Thermal Stresses, vol.29, pp.485-503.
22.
Kolsky H. (1963): Stress Waves in Solids. – Oxford: Clarendon Press; New York: Dover Press.
23.
Dhaliwal R.S. and Singh A. (1980): Dynamic coupled thermoelasticity. – Hindustan Publication Corporation, New Delhi, India, 726.
Share
RELATED ARTICLE
| eISSN: | 2353-9003 |
| ISSN: | 1734-4492 |
Task: edition of a scientific journal, its internationalization and ensuring open access to the journal via the Internet
© 2006-2024 Journal hosting platform by Bentus
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
