Premium
A model for moisture and heat flow in fractured unsaturated porous media
Author(s) -
Varnosfaderani A.M.,
Gatmiri B.,
Haghighi E.M.
Publication year - 2016
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.2577
Subject(s) - heaviside step function , porous medium , discretization , mechanics , displacement (psychology) , finite element method , materials science , boundary value problem , fracture mechanics , geotechnical engineering , porosity , mathematics , geology , structural engineering , mathematical analysis , composite material , engineering , physics , psychology , psychotherapist
Summary The present study investigates propagation of a cohesive crack in non‐isothermal unsaturated porous medium under mode I conditions. Basic points of skeleton deformation, moisture, and heat transfer for unsaturated porous medium are presented. Boundary conditions on the crack surface that consist of mechanical interaction of the crack and the porous medium, water, and heat flows through the crack are taken into consideration. For spatial discretization, the extended finite element method is used. This method uses enriched shape functions in addition to ordinary shape functions for approximation of displacement, pressure, and temperature fields. The Heaviside step function and the distance function are exploited as enrichment functions for representing the crack surfaces displacement and the discontinuous vertical gradients of the pressure and temperature fields along the crack, respectively. For temporal discretization, backward finite difference scheme is applied. Problems solved from the literature show the validity of the model as well as the dependency of structural response on the material properties and loading. Copyright © 2016 John Wiley & Sons, Ltd.