Axisymmetric thermal consolidation of multilayered porous thermoelastic media due to a heat source

Summary This paper presents an analytical layer element solution to axisymmetric thermal consolidation of multilayered porous thermoelastic media containing a deep buried heat source. By applying the Laplace–Hankel transform to the state variables involved in the basic governing equations of porous...

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Bibliographic Details
Published in:International journal for numerical and analytical methods in geomechanics 2015-12, Vol.39 (17), p.1912-1931
Main Authors: Ai, Z. Y., Wang, L. J.
Format: Article
Language:English
Subjects:
analytical layer element
Axisymmetric
Consolidation
heat source
Heat sources
Mathematical analysis
Mathematical models
Media
Porous media
porous thermoelastic media
thermal consolidation
Transforms
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Summary:Summary This paper presents an analytical layer element solution to axisymmetric thermal consolidation of multilayered porous thermoelastic media containing a deep buried heat source. By applying the Laplace–Hankel transform to the state variables involved in the basic governing equations of porous thermoelasticity, the analytical layer elements that describe the relationship between the transformed generalized stresses and displacements of a finite layer and a half‐space are derived. The global stiffness matrix equation is obtained by assembling the interrelated layer elements, and the real solutions in the physical domain are achieved by numerical inversion of the Laplace–Hankel transform after obtaining the solutions in the transformed domain. Finally, numerical calculations are performed to demonstrate the accuracy of this method and to investigate the influence of heat source's types, layering, and the porous thermoelastic material parameters on thermal consolidation behavior. Copyright © 2015 John Wiley & Sons, Ltd.
ISSN:0363-9061
1096-9853
DOI:10.1002/nag.2381