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Energy decay in a problem of linear thermoelasticity

Published online by Cambridge University Press:  26 February 2010

W. A. Day
W. A. Day
Affiliation:
Hertford College, Oxford.
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Extract

Consider a slab which is made from a homogeneous and isotropic thermoelastic material and which occupies the region 0 ≤ x ≤ a, where x, y, z are the usual rectangular cartesian coordinates. Suppose that the slab undergoes a motion in which the displacement vector is parallel to the x-axis and the displacement and the temperature are functions of the coordinate x and the time t ( ≥ 0) only. Suppose too that the faces of the slab are clamped, that the face x = 0 is maintained at a constant temperature, and that heat is supplied to unit area of the face x = a at a prescribed rate h(t).

Type
Research Article
Information
Mathematika , Volume 28 , Issue 1 , June 1981 , pp. 102 - 115
Copyright
Copyright © University College London 1981

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References

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