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Coupled Systems Mechanics
  Volume 9, Number 2, April 2020 , pages 125-145
DOI: https://doi.org/10.12989/csm.2020.9.2.125
 

3D thermo-hydro-mechanical coupled discrete beam lattice model of saturated poro-plastic medium
Emina Hadzalic, Adnan Ibrahimbegovic and Samir Dolarevic

 
Abstract
    In this paper, we present a 3D thermo-hydro-mechanical coupled discrete beam lattice model of structure built of the nonisothermal saturated poro-plastic medium subjected to mechanical loads and nonstationary heat transfer conditions. The proposed model is based on Voronoi cell representation of the domain with cohesive links represented as inelastic Timoshenko beam finite elements enhanced with additional kinematics in terms of embedded strong discontinuities in axial and both transverse directions. The enhanced Timoshenko beam finite element is capable of modeling crack formation in mode I, mode II and mode III. Mode I relates to crack opening, mode II relates to in-plane crack sliding, and mode III relates to the out-of-plane shear sliding. The pore fluid flow and heat flow in the proposed model are governed by Darcy\'s law and Fourier\'s law for heat conduction, respectively. The pore pressure field and temperature field are approximated with linear tetrahedral finite elements. By exploiting nodal point quadrature rule for numerical integration on tetrahedral finite elements and duality property between Voronoi diagram and Delaunay tetrahedralization, the numerical implementation of the coupling results with additional pore pressure and temperature degrees of freedom placed at each node of a Timoshenko beam finite element. The results of several numerical simulations are presented and discussed.
 
Key Words
    coupled discrete beam lattice model; saturated porous medium; pore pressure; temperature; coupling; localized failure; temperature dependent parameters
 
Address
Emina Hadzalic: Universite de Technologie de Compiegne, Laboratoire Roberval de Mecanique, Centre de Recherche Royallieu, 60200 Compiegne, France; Faculty of Civil Engineering, University of Sarajevo, Patriotske lige 30, Sarajevo 71000, Bosnia and Herzegovina
Adnan Ibrahimbegovic: Universite de Technologie de Compiegne, Laboratoire Roberval de Mecanique, Centre de Recherche Royallieu, 60200 Compiegne, France; Institut Universitaire de France, France
Samir Dolarevic: Faculty of Civil Engineering, University of Sarajevo, Patriotske lige 30, Sarajevo 71000, Bosnia and Herzegovina
 

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