Deformation in Transversely Isotropic Thermoelastic Material Without Energy Dissipation and With Two Temperature due to Inclined Load

Issue: Vol.5 No.2

Authors:

Nidhi Sharma (Maharishi Markandeshwar University, Mullana, Ambala)

Parveen Lata (Punjabi University, Patiala)

Keywords: Two temperature, without energy dissipation, transversely isotropic thermoelastic, Laplace transform, Fourier transform, concentrated and distributed sources.

Abstract: 

The present investigation is concerned with the two dimensional deformation in a homogeneous, transversely isotropic thermoelastic solids without energy dissipation and with two temperature as a result of an inclined load. The inclined load is assumed to be linear combination of normal load and tangential load. Laplace and Fourier transforms are used to solve the problem. The components of displacements, stresses and conductive temperature distribution so obtained in the physical domain are computed numerically. Effect of two temperature are depicted graphically on the resulting quantites.

Download PDF

References:

[1]. Chandrasekharaiah, D. S., and Srinath, K.S; Thermoelastic waves without energy dissipation in an unbounded body with a spherical cavity, The International Journal of Mathematics and Mathematical Sciences,(2000), 23 (8), 555-562.

[2]. Chen, P.J., and Gurtin, M.E; On a theory of heat conduction involving two parameters, Zeitschrift für angewandte Mathematik und Physik (ZAMP), (1968), 19,614-627.

[3]. Chen, P.J., Gurtin, M.E., and Williams,W.O; A note on simple heat conduction, Journal of Applied Mathematics and Physics (ZAMP), (1968), 19, 969-70.

[4]. Chen,P.J., Gurtin, M.E., and Williams,W.O; On the thermodynamics of non simple elastic materials with two temperatures, (ZAMP), (1969), 20, 107-112.

[5]. Green, A.E., and Naghdi, P.M; On undamped heat waves in an elastic solid, Journal of Thermal Stresses, (1992), 15,253-264.

[6]. Green, A.E., and Naghdi, P.M; On undamped heat waves in an elastic solid, Journal of Elasticity, (1993), 31, 189-209.

[7]. Kaushal, S., Kumar, R., and Miglani, A; Response of frequency domain in generalized thermoelasticity with two temperatures, (2010), 83(5), 1080-1088.

[8]. Kumar, R., and Deswal, S; The surface wave propagation in a micropolar thermoelastic medium without energy dissipation, The Journal of Sound and vibration, (2002), 256(1), 173-178.

[9]. Sharma,N., Kumar,R.,and Ram,P; Elastodynamic response of thermoelastic diffusion due to inclined load, Multidiscipline Modeling in Materials and Structures, (2010), 6(3), 313-334.

[10]. Sharma, N., Kumar,R.,and Ram,P; Interactions of generalised thermoelastic diffusion due to inclined load, International Journal of Emerging Trends in Engineering and Development, (2012), 5 (2), 583-600.

[11]. Quintanilla, R; Thermoelasticity without energy dissipation of materials with microstructure, Journal of Applied Mathematical Modeling ,(2002), 26, 1125-1137.

[12]. Warren, W.E., and Chen, P.J; Wave propagation in the two temperature theory of thermoelasticity, Journal of Acta Mechanica, (1973),16, 21-33.

[13]. Youssef, H.M; Theory of two temperature generalized thermoelasticity, IMA Journal of Applied Mathematics, (2006), 71(3), 383-390.

[14]. Youssef, H.M., and AI-Lehaibi, E.A; State space approach of two temperature generalized thermoelasticity of one dimensional problem, International Journal of Solids and Structures, (2007), 44, 1550-1562.

[15]. Youssef, H.M., and AI-Harby, A.H; State space approach of two temperature generalized thermoelasticity of infinite body with a spherical cavity subjected to different types of thermal loading, Journal of Archives of Applied Mechanics, (2007), 77(9), 675-687.

[16]. Youssef, H.M; Theory of two - temperature thermoelasticity without energy dissipation, Journal of Thermal Stresses, (2011), 34, 138-146.