Study of Dynamic Response in a Two Dimensional Transversely Isotropic Thick Plate With Spatially Varying Heat Sources and Body Forces

Mohsin Islam; Sadek Hossain Mallik; Mridula Kanoria

doi:10.3879/j.issn.1000-0887.2011.10.008

Volume 32 Issue 10

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Mohsin Islam, Sadek Hossain Mallik, Mridula Kanoria. Study of Dynamic Response in a Two Dimensional Transversely Isotropic Thick Plate With Spatially Varying Heat Sources and Body Forces[J]. Applied Mathematics and Mechanics, 2011, 32(10): 1226-1240. doi: 10.3879/j.issn.1000-0887.2011.10.008

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Study of Dynamic Response in a Two Dimensional Transversely Isotropic Thick Plate With Spatially Varying Heat Sources and Body Forces

doi: 10.3879/j.issn.1000-0887.2011.10.008

Department of Mathematics, St. Xavier's College (Evening), 30, Mother Teresa Sarani(Park Street), Kolkata 700016, India;
Department of Mathematics, Aliah University, DN-41, Sector V, Salt Lake City, Kolkata 700091, India;
Department of Applied Mathematics, University of Calcutta, Kolkata 700009, India

Received Date: 2010-06-29
Rev Recd Date: 2011-05-04
Publish Date: 2011-10-15

Abstract

Abstract

A two dimensional problem for a transversely isotropic thick plate having heat source and body force was studied.The upper surface of the plate was stress free with prescribed surface temperature while the lower surface of the plate rest on a rigid foundation and was thermally insulated.The study was carried out in the context of generalized thermoelasticity proposed by Green and Naghdi.The governing equations for displacement and temperature fields were obtained in Laplace-Fourier transform domain by applying Laplace and Fourier transform techniques.The inversion of double transform had been done numerically.The numerical inversion of Laplace transform was done by using a method based on Fourier series expansion technique.Numerical computations had been done for magnesium (Mg) and the results were presented graphically.The results for an isotropic material (Cu) had been deduced numerically and presented graphically to compare with those of transversely isotropic material (Mg).The effect of body force was also studied.
- generalized thermoelasticity,
- Green-Naghdi model,
- transversely isotropic material,
- spatially varying heat source,
- body force

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References(33)

References

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