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Axisymmetric thermal consolidation of multilayered porous thermoelastic media due to a heat source
Author(s) -
Ai Z. Y.,
Wang L. J.
Publication year - 2015
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.2381
Subject(s) - thermoelastic damping , laplace transform , rotational symmetry , consolidation (business) , porous medium , poromechanics , mechanics , materials science , finite element method , hankel transform , integral transform , porosity , thermal , mathematical analysis , mathematics , structural engineering , physics , engineering , thermodynamics , bessel function , composite material , accounting , business
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.