A stabilized finite element formulation for monolithic thermo‐hydro‐mechanical simulations at finite strain. (30th April 2015)

• Record Type: Journal Article
• Authors: Sun, WaiChing
• Is Part Of: International journal for numerical methods in engineering. Volume 103:Number 11(2015)
• Page Start: 798
• Page End: 839
• Publication Date: 2015-04-30
• Subjects: Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.4910
• Languages: English
• ISSNs: 0029-5981

Abstract

<abstract abstract-type="main" id="nme4910-abs-0001"> <title>Summary</title> <p id="nme4910-para-0001">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 &amp; Sons, Ltd.</p> </abstract>