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
On Discontinuties in Thermoelastic Plane Waves without Energy Dissipation Due to a Thermo-Mechanical Shock
1
Department of Mathematics, Jadavpur University Kolkata-700032, INDIA
Online publication date: 2013-06-08
Publication date: 2013-06-01
International Journal of Applied Mechanics and Engineering 2013;18(2):503-519
KEYWORDS
generalized thrmoelasticityGreen-Naghdi modelthermoelastic half-spacepulse functioneigenvalue approach
ABSTRACT
The present paper deals with the thermoelastic plane waves due to a thermo-mechanical shock in the form of pulse at the boundary of a homogeneous, isotropic thermoelastic half-space. The field equations of the Green- Naugdhi theory without energy dissipation for an thermoelastic solid in the generalized thermoelasticity theory are written in the form of a vector-matrix differential equation using Laplace transform techniques and then solved by an eigenvalue approach. Exact expressions for the considered field variables are obtained and presented graphically for copper-like material. The characteristic features of the present theory are analyzed by comparing these solutions with their counterparts in other generalized thcrmoelasticity theories.
REFERENCES (23)
1.
Chandrasekharaiah D.S. (1986): Thermoelasticity with second sound-A review. - Appl. Mech. Rev., vol.39, pp.355-376.
2.
Chandrasekharaiah D.S. (1996a): A uniqueness theorem in the theory of thermoelasticity without energy dissipation. - J. Thermal Stresses, vol.19, pp.267-272.
3.
Chandrasekharaiah D.S. (1996b): A note on the uniqueness of solution in the linear theory of thermoelasticity without energy dissipation. - J. Elasticity, vol.43, pp.279-28.
4.
Chadwick P. (1960): Thermoelasticity, the dynamic theory, In: (I.N. Sneddon and R. Hill Eds.). - Progress in Solid Mechanics, vol.I., pp.265-328. North Holland, Amsterdam .
5.
Dhaliwal R.S. and Rokne J.G. (1988): One-dimensional generalized thermoelastic problem for a half-space. - J. Thermal Stresses, vol.11, pp.257-271.
6.
Dhaliwal R.S. and Rokne J.G. (1989): One-dimensional thermal shock problem with two relaxation times. - J. Thermal Stresses, vol.12, pp.259-279.
7.
Green A.E. and Lindsay K.A. (1972): Thermoelasticity. - J. Elasticity, vol.2, pp.1-7.
8.
Green A.E. and Naghdi P.M. (1991): A re-examination of the basic postulate of thermo-mechanics. - Proc. Roy. Soc. London, vol.432, pp.171-194.
9.
Green A.E. and Naghdi P.M. (1992): An unbounded heat wave in an elastic solid. - J. Thermal Stresses, vol.15, pp.253-264.
10.
Green A.E. and Naghdi P.M. (1993): Thermoelasticity without energy dissipation. - J. Elasticity, vol.31, pp.189-208.
11.
Ignaczak J. (1989): Generalized thermoelasticity and its applications. In: (R.B. Hetnarski, Ed.). - J. Thermal Stresses, vol.3, pp.280-353.
12.
Joseph D.D. and Preziosi L. (1988): Heat waves.- Rev. Mod. Phys., vol.61, pp.41-73.
13.
Lord H.W. and Shulman Y.A. (1967): A generalized dynamical theory of thermoelasticity. - J. Mech. Phys. Solids, vol.15, pp.299-309.
14.
Lahiri A., Das B. and Sarkar S. (2010): Thermal stresses in an isotropic elastic slab due to prescribed surface temperature. - Adv. Theor. Appl. Mech., vol.3, pp.451-467.
15.
Mukhopadhyay S. (2002): Thermoelastic interactions without energy dissipation in an unbounded medium with a spherical cavity due to a themal shock at the boundary. - J. Themal Stresses, vol.25, pp.877-887.
16.
Mukhopadhyay S. and Kumar R. (2008): A study of generalized thermoelastic interactions in an unbounded medium with a spherical cavity. - Comput. Math. Appl., vol.56, pp.2329-2339.
17.
Mukhopadhyay S. (2004 ): Thermoelastic interactions without energy dissipation in an unbounded body with a spherical cavity subjected to harmonically varying temperature. - Mech. Res. Comm ., vol.31, pp.81-89.
18.
Nowinski J. (1978): Theory of thermoelasticity with applications. - Sijtho and Noordho International Publishers, Alphen Aan Den Rijn.
19.
Roychoudhuri S.K. and Dutta P.S. (2005a): Thermo-elastic interaction without energy dissipation in an infinite solid with distributed periodically varying heat sources. - Int. J. Solids and Structures, vol.42, pp.4192-4203.
20.
Roychoudhuri S.K. and Bandyapadhyay N. (2004): Thermo-elastic wave propagation in a rotating elastic medium without energy dissipation. - Int. J. Math. and Math. Sci., vol.1, pp.99-107.
21.
Roychoudhuri S.K. and Bandyapadhyay N. (2005b): Thermo-elastic wave propagation without energy dissipation in an elastic half-space. - Bull. Cal. Math. Soc., vol.97, pp.489-502.
22.
Sharma J.N. and Chouhan R.S. (1999): On the problem of body forces andheat sources in thermo-elasticity without energy dissipation.- Ind. J. Pure and Appl. Math., vol.30, pp.595-610.
23.
Sarkar N. and Lahiri A. (2011): A three-dimesional thermoelastic problem for a half-space without energy dissipations.-Int. J. Eng. Sci., Accepted for Publications, doi:10.1016/j.ijengsci.2011.08.005.
| 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.
