Transient thermo-elastic disturbances in a visco-elastic semi-space due to a moving internal heat source

• Autorzy: Lotfy K.
• Języki publikacji: EN

Abstrakty

EN

This paper investigates the transient disturbances created by an internal line heat source that suddenly starts moving uniformly inside a visco-elastic half-space. The generalised theory of thermo-elasticity with relaxation time proposed by Lord-Shulman (1967) is applied. The material of the semi-infinite medium is isotropic visco-elastic solid of Kelvin-Voight type. Applying the Fourier and Laplace transform technique, expressions for displacement components in the transformed domain are found out. 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. Surface displacement components are evaluated on the boundary for small time only. Numerical results are given and illustrated graphically to highlight the variations of surface displacement components with distance for different values of time, source depth and velocity of the source.

Słowa kluczowe

EN

visco-elastic half-space; generalised theory of thermo-elasticity; moving heat source; source depth; relaxation time; surface displacements

PL

lepkosprężyste półprzestrzenie; termoelastyczność; źródła ciepła; przemieszczenia powierzchni

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2011
• Tom: Vol. 16, no 3
• Strony: 747--762
• Opis fizyczny: Bibliogr. 23 poz., wykr.

Twórcy

autor

Lotfy K.

• Department of Mathematics, Faculty of Science Zagazig University, P.O. Box 44519, Zagazig EGYPT,

Bibliografia

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