Abstract
The linear theory of thermoelasticity without energy dissipation is employed to study thermoelastic interactions due to a continuous point heat source in a homogeneous and isotropic unbounded solid. The Laplace transform method is employed to solve the problem. Exact expressions, in closed form, for the displacement, temperature and stress fields are obtained. Numerical results for a copper-like material are presented.
Similar content being viewed by others
References
P. Chadwick, Thermoelasticity, the dynamic theory. In: I.N. Sneddon and R. Hill (eds), Progress in Solid Mechanics, Vol. I. North Holland, Amsterdam (1960) pp. 265–328.
H.W. Lord and Y. Shulman, A generalized dynamical theory of thermoelasticity. J. Mech. Phys. Solids 15 (1967) 299–309.
A.E. Green and K.A. Lindsay, Thermoelasticity. J. Elasticity 2 (1972) 1–7.
D.S. Chandrasekharaiah, Thermoelasticity with second sound – A review. Appl. Mech. Rev. 39 (1986) 355–376.
J. Ignaczak, Generalized thermoelasticity and its applications. In: R.B. Hetnarski (ed.), Thermal Stresses, Vol. III. Elsevier Science Publishers. B.V. (1989) pp. 280–353.
D.D. Joseph and L. Preziosi, Heat waves. Rev. Mod. Phys. 61 (1988) 41–73; addendum 62 (1990) 375–391.
A.E. Green and P.M. Naghdi, Thermoelasticity without energy dissipation. J. Elasticity 31 (1993) 189–208.
D.S. Chandrasekharaiah, A uniqueness theorem in the theory of thermoelasticity without energy dissipation. J. Thermal Stresses 19 (1996) 267–272.
D.S. Chandrasekharaiah, A note on the uniqueness of solution in the linear theory of thermoelasticity without energy dissipation. J. Elasticity 43 (1996) 279–283.
D.S. Chandrasekharaiah, One-dimensional wave propagation in the linear theory of thermoelasticity without energy dissipation. J. Thermal Stresses 19 (1996) 695–710.
D.S. Chandrasekharaiah and K.S. Srinath, One-dimensional waves in a thermoelastic half space without energy dissipation. Int. J. Eng. Sci. 34 (1996) 1447–1455.
D.S. Chandrasekharaiah and K.S. Srinath, Thermoelastic plane waves without energy dissipation in a half-space due to time-dependent heating of the boundary. J. Thermal Stresses 20 (1997) 659–676.
D.S. Chandrasekharaiah and K.S. Srinath, Axisymmetric thermoelastic interactions without energy dissipation in an unbounded body with cylindrical cavity. J. Elasticity 46 (1997) 19–31.
D.S. Chandrasekharaiah, Thermoelastic plane waves without energy dissipation. Mech. Res. Comm. 23 (1996) 549–555.
D.S. Chandrasekharaiah, Thermoelastic Rayleigh waves without energy dissipation. Mech. Res. Comm. 24 (1997) 93–102.
D.S. Chandrasekharaiah and K.S. Srinath, Thermoelastic interactions without energy dissipation due to a line source. Acta Mechanica. (In press).
H.H. Sherief, Fundamental solutions of the generalized thermoelastic problem for short times. J. Thermal Stresses 9 (1986) 151–164.
D.S. Chandrasekharaiah and K.R. Srikantiah, On temperature-rate-dependent thermoelastic interactions in an infinite solid due to a point heat source. Indian J. Techn. 25 (1987) 1–7.
H.H. Sherief, Fundamental solution for thermoelasticity with two relaxation times. Int. J. Eng. Sci. 30 (1992) 861–870.
D.S. Chandrasekharaiah and L. Debnath, Continuum Mechanics, Chapters 1–4. Academic Press, New York (1994).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chandrasekharaiah, D., Srinath, K. Thermoelastic Interactions without Energy Dissipation Due to a Point Heat Source. Journal of Elasticity 50, 97–108 (1998). https://doi.org/10.1023/A:1007412106659
Issue Date:
DOI: https://doi.org/10.1023/A:1007412106659