Premium
A stabilized finite element formulation for monolithic thermo‐hydro‐mechanical simulations at finite strain
Author(s) -
Sun WaiChing
Publication year - 2015
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4910
Subject(s) - finite element method , finite strain theory , porous medium , isothermal process , deformation (meteorology) , spurious relationship , mechanics , materials science , deformation theory , projection (relational algebra) , porosity , structural engineering , mathematics , physics , engineering , geometry , composite material , thermodynamics , statistics , algorithm
Summary An adaptively stabilized monolithic finite element model is proposed to simulate the fully coupled thermo‐hydro‐mechanical behavior of porous media undergoing large deformation. We first formulate a finite‐deformation thermo‐hydro‐mechanics field theory for non‐isothermal porous media. Projection‐based stabilization procedure is derived to eliminate spurious pore pressure and temperature modes due to the lack of the two‐fold inf‐sup condition of the equal‐order finite element. To avoid volumetric locking due to the incompressibility of solid skeleton, we introduce a modified assumed deformation gradient in the formulation for non‐isothermal porous solids. Finally, numerical examples are given to demonstrate the versatility and efficiency of this thermo‐hydro‐mechanical model. Copyright © 2015 John Wiley & Sons, Ltd.