Displacement Field Due to a Cylindrical Inclusion in a Thermoelastic Half-Space

Subject Areas : Engineering

K  Singh ¹ (Department of Mathematics,Guru Jambheshwar ,University of Science & Technology, Hisar, Pin-125001, Haryana, India)
M  Renu ² (Department of Mathematics,Guru Jambheshwar ,University of Science & Technology, Hisar, Pin-125001, Haryana, India)

Received: 2017-03-29 Accepted : 2017-05-24 Published : 2017-09-01

Keywords: Displacement field, Thermoelastic half-space, Potential functions, Cylindrical inclusion, Uncoupled thermoelasticity,

Abstract :

In this paper, the closed form analytical expressions for the displacement field due to a cylindrical inclusion in a thermoelastic half-space are obtained. These expressions are derived in the context of steady-state uncoupled thermoelasticity using thermoelastic displacement potential functions. The thermal displacement field is generated due to differences in the coefficients of linear thermal expansion between a subregion and the surrounding material. Further, comparison between displacement field in a half-space and in an infinite medium has been discussed. The variation of displacement field in a half-space and its comparison with an infinite medium is also shown graphically.

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