Transient thermo‐elastic disturbances in a visco‐elastic semi‐space due to moving internal heat source
International Journal of Structural Integrity
ISSN: 1757-9864
Article publication date: 30 August 2011
Abstract
Purpose
This paper aims to investigate the transient disturbances created by an internal line heat source that suddenly starts moving uniformly inside a visco‐elastic half‐space.
Design/methodology/approach
Generalised theory of thermo‐elasticity with relaxation time proposed by Lord‐Shulman is applied. The material of the semi‐infinite medium is an isotropic visco‐elastic solid of Kelvin‐Voight type. Fourier and Laplace transform techniques are used.
Findings
Applying the Fourier and Laplace transform techniques, expressions for displacement components in the transformed domain are found. These expressions prove the existence of three waves – a modified thermal wave, a visco‐elastic wave of defused nature and a transverse visco‐elastic wave.
Research limitations/implications
Surface displacement components were evaluated on the boundary for only a short time.
Originality/value
The paper provides numerical results that are illustrated graphically to highlight the variations of surface displacement components with distance for different values of time, source depth and velocity of the source.
Keywords
Citation
Lotfy, K. (2011), "Transient thermo‐elastic disturbances in a visco‐elastic semi‐space due to moving internal heat source", International Journal of Structural Integrity, Vol. 2 No. 3, pp. 264-280. https://doi.org/10.1108/17579861111162879
Publisher
:Emerald Group Publishing Limited
Copyright © 2011, Emerald Group Publishing Limited