Excavation Damage in Unsaturated Porous Media

2008 ◽  
Vol 385-387 ◽  
pp. 137-140
Author(s):  
C. Arson ◽  
B. Gatmiri

This paper presents a damage model dedicated to unsaturated brittle rocks. It mixes phenomenological and micro-mechanical concepts, and is formulated based on the use of independent state variables (net stress and suction). The expression of the liquid permeability is modified in order to represent the influence of fracturing on interstitial fluid flows.

2010 ◽  
Vol 02 (01n02) ◽  
pp. 23-68 ◽  
Author(s):  
B. GATMIRI ◽  
S. HEMMATI ◽  
C. ARSON ◽  
E. AMIRZEHNI

In the THM modeling of multiphase medium, the coupling effects of skeleton, suction, and temperature have been integrated via the concept of state surfaces of void ratio and degree of saturation. Based on proposed formulation, a fully coupled numerical model for the behavior of soil deformation, water flow, air flow, heat flow in unsaturated soil has been developed and integrated in a finite element code θ-Stock by the first author. This program is conceived with this idea that it will be able to analyze the response of a soil in different states of humidity to mechanical, thermal loading, and also damage phenomena. Damage model is dedicated to unsaturated brittle rocks. It mixes phenomenological and micromechanical concepts and is formulated based on the use of independent state variables. The expression of the liquid permeability is modified in order to represent the influence of fracturing on interstitial fluid flows. The final matrix form of established field equations of the proposed model for unsaturated case has been encoded for this particular purpose, in a finite element program which had been developed for dry and saturated soils previously.


Author(s):  
Yajun Yin ◽  
Hongyi Li ◽  
Gang Peng ◽  
Xiaobin Yu ◽  
Yiya Kong

2012 ◽  
Vol 04 (02) ◽  
pp. 1250008
Author(s):  
MARZIYEH FATHALIKHANI ◽  
BEHROUZ GATMIRI

In this paper, the theoretical framework of a coupled thermo-hydro-mechanical damage model dedicated to non-isothermal unsaturated porous media is presented. The damage variable is a second-order tensor, and the model has been formulated in independent state variables. The approach combines thermodynamic and micromechanical theories. The behavior laws have been derived from a postulated expression of Helmholtz free energy. The damaged rigidities have been computed by applying the Principle of Equivalent Elastic Energy (PEEE). Internal length parameters have been introduced in the expressions of liquid water conductivity, to account for cracking effects on fluid flows. Damage has been assumed to have an isotropic influence on air and heat flows, through the inelastic component of volumetric strains. The damage model has been implemented in θ-Stock Finite Element program. Some numerical studies are conducted to the impact of the thermal and mechanical loading on the evaluation of response of the unsaturated bentonite, and investigation of model parameters effect on damage development.


2009 ◽  
Vol 337 (2) ◽  
pp. 68-74 ◽  
Author(s):  
Chloé Arson ◽  
Behrouz Gatmiri

1986 ◽  
Vol 108 (2) ◽  
pp. 123-130 ◽  
Author(s):  
A. F. Mak

Articular cartilage was modeled rheologically as a biphasic poroviscoelastic material. A specific integral-type linear viscoelastic model was used to describe the constitutive relation of the collagen-proteoglycan matrix in shear. For bulk deformation, the matrix was assumed either to be linearly elastic, or viscoelastic with an identical reduced relaxation spectrum as in shear. The interstitial fluid was considered to be incompressible and inviscid. The creep and the rate-controlled stressrelaxation experiments on articular cartilage under confined compression were analyzed using this model. Using the material data available in the literature, it was concluded that both the interstitial fluid flow and the intrinsic matrix viscoelasticity contribute significantly to the apparent viscoelastic behavior of this tissue under confined compression.


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