scholarly journals Energetic formulation of large‐deformation poroelasticity

2022 ◽  
Author(s):  
Mina Karimi ◽  
Mehrdad Massoudi ◽  
Noel Walkington ◽  
Matteo Pozzi ◽  
Kaushik Dayal
Keyword(s):  
Large Deformation ◽  
Energetic Formulation

scholarly journals Energetic Formulation of Large-Deformation Poroelasticity

2022 ◽  
Author(s):  
Mina Karimi ◽  
Mehrdad Massoudi ◽  
Noel Walkington ◽  
Matteo Pozzi ◽  
Kaushik Dayal
Keyword(s):  
Free Energy ◽  
Large Deformation ◽  
Co2 Sequestration ◽  
Fluid Transport ◽  
Solid Phase ◽  
Free Energy Density ◽  
Numerical Approach ◽  
Nonlinear Constitutive Model ◽  
Energetic Formulation ◽  
Geomechanical Process

The modeling of coupled fluid transport and deformation in a porous medium is essential to predict the various geomechanical process such as CO2 sequestration, hydraulic fracturing, and so on. Current applications of interest, for instance, that include fracturing or damage of the solid phase, require a nonlinear description of the large deformations that can occur. This paper presents a variational energy-based continuum mechanics framework to model large-deformation poroelasticity. The approach begins from the total free energy density that is additively composed of the free energy of the components. A variational procedure then provides the balance of momentum, fluid transport balance, and pressure relations. A numerical approach based on finite elements is applied to analyze the behavior of saturated and unsaturated porous media using a nonlinear constitutive model for the solid skeleton. Examples studied include the Terzaghi and Mandel problems; a gas-liquid phase-changing fluid; multiple immiscible gases; and unsaturated systems where we model injection of fluid into soil. The proposed variational approach can potentially have advantages for numerical methods as well as for combining with data-driven models in a Bayesian framework.

PROPOSAL OF HYSTERESIS MODEL USING DIFFERENTIAL EQUATIONS CONSIDERING OF CYCLIC DEGRADATION UNDER LARGE DEFORMATION

2020 ◽  
Vol 85 (773) ◽  
pp. 921-931
Author(s):  
Tsuyoshi FUKASAWA ◽  
Shigeki OKAMURA ◽  
Takahiro SOMAKI ◽  
Takayuki MIYAGAWA ◽  
Tomohiko YAMAMOTO ◽  
...  
Keyword(s):  
Differential Equations ◽  
Large Deformation ◽  
Hysteresis Model ◽  
Cyclic Degradation

TWO-DIMENSIONAL LARGE DEFORMATION FINITE ELEMENT MODELLING OF SENSITIVE CLAY LANDSLIDES

2020 ◽  
Author(s):  
Bipul Hawlader ◽  
◽  
Chen Wang ◽  
Ripon Karmaker ◽  
Didier Perret ◽  
...  
Keyword(s):  
Finite Element ◽  
Large Deformation ◽  
Finite Element Modelling ◽  
Two Dimensional ◽  
Element Modelling ◽  
Sensitive Clay

Large Deformation Finite Element Analysis of Riser-Soil Interactions with Strain-Softening Soils

2019 ◽  
Author(s):  
Jinbo Chen ◽  
Jason A. Newlin ◽  
Heping Zhang ◽  
Shuang Hu ◽  
Meng Luo
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Large Deformation ◽  
Strain Softening ◽  
Element Analysis

A fast response, large deformation, excellent mechanical pH-responsive polyacrylonitrile/polyimide bilayer film

Polymer ◽  
2020 ◽  
Vol 191 ◽  
pp. 122271
Author(s):  
Xu Wang ◽  
Chengyong He ◽  
Longbo Luo ◽  
Daiqiang Chen ◽  
Xiangyang Liu ◽  
...  
Keyword(s):  
Large Deformation ◽  
Fast Response ◽  
Bilayer Film ◽  
Ph Responsive
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