Discontinuities in an axisymmetric generalized thermoelastic problem
This paper deals with discontinuities analysis in the temperature, displacement, and stress fields of a thick plate whose lower and upper surfaces are traction-free and subjected to a given axisymmetric temperature distribution. The analysis is carried out under three thermoelastic theories. Potenti...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.1015 |
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| Summary: | This paper deals with discontinuities analysis in the temperature,
displacement, and stress fields of a thick plate whose lower and
upper surfaces are traction-free and subjected to a given
axisymmetric temperature distribution. The analysis is carried out
under three thermoelastic theories. Potential functions together
with Laplace and Hankel transform techniques are used to derive
the solution in the transformed domain. Exact expressions for the
magnitude of discontinuities are computed by using an exact method
developed by Boley (1962). It is found that there exist two
coupled waves, one of which is elastic and the other is thermal, both
propagating with finite speeds with exponential attenuation, and a
third which is called shear wave, propagating with constant speed but
with no exponential attenuation. The Hankel transforms are
inverted analytically. The inversion of the Laplace transforms is
carried out using the inversion formula of the transform together
with Fourier expansion techniques. Numerical results are
presented graphically along with a comparison of the three
theories of thermoelasticity. |
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| ISSN: | 0161-1712 1687-0425 |