Displacements and Stresses in a Composite Mult-Layered Media Due to Varying Temperature and Concentrated Load

M. K. Ghosh; M. Kanoria

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M. K. Ghosh, M. Kanoria. Displacements and Stresses in a Composite Mult-Layered Media Due to Varying Temperature and Concentrated Load[J]. Applied Mathematics and Mechanics, 2007, 28(6): 724-734.

Citation:

M. K. Ghosh, M. Kanoria. Displacements and Stresses in a Composite Mult-Layered Media Due to Varying Temperature and Concentrated Load[J]. Applied Mathematics and Mechanics, 2007, 28(6): 724-734.

Citation:

M. K. Ghosh, M. Kanoria. Displacements and Stresses in a Composite Mult-Layered Media Due to Varying Temperature and Concentrated Load[J]. Applied Mathematics and Mechanics, 2007, 28(6): 724-734.

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Displacements and Stresses in a Composite Mult-Layered Media Due to Varying Temperature and Concentrated Load

M. K. Ghosh¹,
M. Kanoria²

1.
Department of Mathematics, Serampore College, Serampore, Hooghly-712 201, India;

Received Date: 2006-05-23
Rev Recd Date: 2007-03-16
Publish Date: 2007-06-15

Abstract

Abstract

The determination of the thermo-elastic displacements and stresses in a mult-ilayered body set up in different layers of different thickness having different elastic properties due to the application of heat and a concentrated load in the uppermost surface of the medium is studied.Each layer is assumed to be made of homogeneous and isotropic elastic material.The relevant displacement components for each layer were taken to be axisymmetric about a line,which is perpendicular to the plane surfaces of all layers.The stress function for each layer,therefore,satisfies a single equation in absence of any body force.The equation was then solved by integral transform technique.Analytical expressions for thermo-elastic displacements and stresses in the underlying mass and the corresponding numerical codes have been constructed for any number of layers.However,the numerical comparison was made for three and four layers.
- thermal stress,
- layered body,
- concentrated load,
- Bessel function,
- integral transform

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References(11)

References

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