Deformation in a Three-Phase-Lag Model of Orthotropic Thermoviscoelastic Material

Deformation in a Three-Phase-Lag Model of Orthotropic Thermoviscoelastic Material

Leena Rani

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Galgotias University

Deformation in a Three-Phase-Lag Model of Orthotropic Thermoviscoelastic Material

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Abstract

The present paper is aimed at studying the effect of viscosity on thermoelastic interactions in three-phase-lag model of a homogeneous thermally conducting orthotropic material whose surface is subjected to thermal excitations. The governing equations are solved by applying Laplace and Fourier transforms technique. Eigen value approach is used to obtain the expressions for the variables considered. Numerical computations are performed for a specific material and result obtained are represented graphically for temperature gradient boundary. Comparsions are made with in the theory in the presence and absence of viscosity effect.

References

32 Cites in Article

Reference Format

Ibrahim Abbas,Rajneesh Kumar,Leena Rani (2015). Thermoelastic interaction in a thermally conducting cubic crystal subjected to ramp-type heating.
M Biot (1956). Thermoelasticity and Irreversible Thermodynamics.
P Chadwick (1960). Progress in Solid Mechanics.
P Chadwick (1979). BASIC PROPERTIES OF PLANE HARMONIC WAVES IN A PRESTRESSED HEAT-CONDUCTING ELASTIC MATERIAL.
S Choudhuri (2007). On A Thermoelastic Three-Phase-Lag Model.
D Chandrasekharaiah (1998). Author’s Response to “Comments on the articles ‘Hyperbolic thermoelasticity: A review of recent literature’ (Chandrasekharaiah DS, 1998, Appl Mech Rev 51(12), 705–729) and ‘Thermoelasticity with second sound: A review’ (Chandrasekharaiah DS, 1986, Appl Mech Rev 39(3), 355–376)”.
V Cimmelli (1998). Thermodynamics of anisotropie solids near absolute zero.
N Das,A Lahiri (2001). Dynamic thermal stresses in an orthotroic elastic slab due to prescribed surface temperatures.
Ranjit Dhaliwal,Hani Sherief (1980). Generalized thermoelasticity for anisotropic media.
R Dhaliwal,A Singh (1980). Dynamic coupled thermoelasticity.
M Dolotov,I Kill (2012). The dynamic problem for an elastic half-space with asymmetric normal loading of its boundary.
Ranjit Dhaliwal,Jon Rokne (1989). ONE-DIMENSIONAL THERMAL SHOCK PROBLEM WITH TWO RELAXATION TIMES.
A El-Karamany,M Ezzat (2016). On the phase-lag Green-Naghdi thermoelasticity theories.
José Fernández,Maria Masid (2017). A mixture of thermoelastic solids with two temperatures.
A Green,K Lindsay (1972). Unknown Title.
A Green,P Naghdi (1993). Thermoelasticity without energy dissipation.
G Honig,U Hirdes (1984). A method for the numerical inversion of Laplace transforms.
Jian-Jun And Han,N Hasebe (2002). Green's functions of point heat source in various thermoelastic boundary value problems.
H Hany,A Sherief,El-Latief (2014). Application of fractional order theory of thermoelasticity to a 2D problem for a half-space.
D Ieşan,R Quintanilla (2009). On thermoelastic bodies with inner structure and microtemperatures.
S Kaliski (1963). Absorption of magneto-viscoelastic surface waves in a real conductor in magnetic field.
Rajneesh Kumar,Leena Rani (2004). Deformation due to mechanical and thermal sources in generalised orthorhombic thermoelastic material.
Rajneesh Kumar,Leena Rani (2007). Deformation due to mechanical and thermal sources in generalised orthorhombic thermoelastic material.
Yan Liu,Yiwu Lin,Yuanfei Li (2013). Convergence result for the thermoelasticity of type III.
H Lord,Y Shulman (1967). A generalized dynamical theory of thermoelasticity.
F Marotti De Sciarra,M Salerno (2014). On thermodynamic functions in thermoelasticity without energy dissipation.
Nowackiw (1962). Thermoelasticity, Int. Ser. Monographs in Aeronautics and Astronautics.
Nowackiw,Noordhoff (1975). Dynamic Problems of Thermoelasticity.
O Simionescu (1992). The effect of concentrated loads in quasi-static coupled thermoelasticity.
D Tzou (1995). A Unified Field Approach for Heat Conduction From Macro- to Micro-Scales.
G Yermolenko,Ye. Ivanov (2014). The principles of correspondence between static boundary value problems of thermoviscoelasticity and thermoelasticity.
R Zhyhailo,A Bajkowski (2016). Axisymmetrical problem of thermoelasticity for halfspace with gradient coating.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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Not applicable for this article.

How to Cite This Article

Leena Rani. 2018. \u201cDeformation in a Three-Phase-Lag Model of Orthotropic Thermoviscoelastic Material\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F5): .

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GJSFR Volume 18 Issue F5
Pg. 17- 31

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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Classification

GJSFR-F Classification: MSC 2010: 35D40

Submission ReceivedMay 27, 2020
Peer Review Double Blind
Handling Editor
Accepted June 21, 2020
Published July 6, 2020

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v1.2

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July 20, 2018

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Article Matrices

Total Score: 101

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Leena Rani (PhD/Dr. count: 0)

View Count (all-time): 167

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Total Downloads (simulated): 1644

Publish Date: 2018 07, Fri

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