TY - GEN
T1 - A model for non-isothermal variably saturated porous media in dynamics
AU - Sanavia, Lorenzo
AU - Cao, Duc Toan
AU - Passarotto, Mareva
AU - Schrefler, Bernhard A.
N1 - Funding Information:
Moran Feldman is a recipient of the Google Europe Fellowship in Market Algorithms, and this research is supported in part by this Google Fellowship. This work was supported in part by ISF grant 1366/07 and the Google Interuniversity center for Electronic Markets and Auctions.
Funding Information:
★ Moran Feldman is a recipient of the Google Europe Fellowship in Market Algorithms, and this research is supported in part by this Google Fellowship. ★★This work was supported in part by ISF grant 1366/07 and the Google Inter-university center for Electronic Markets and Auctions. 1 In contrast, sponsored search advertisers typically pay per click or per action, and usually have budgets, rather than demands, or quotas, on the number of impressions.
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2014/7/1
Y1 - 2014/7/1
N2 - This work presents the development of a fully coupled mathematical and numerical model for the analysis of the thermo-hydro-mechanical behaviour of non-isothermal multiphase porous materials in dynamics. The model is developed following Lewis and Schrefler within the Hybrid Mixture theory [1]. The porous medium is treated as a multiphase system composed of a solid skeleton with open pores, filled with liquid water and gas. The solid is considered as deformable and non-polar. All the fluids are in contact with the solid phase. The constituents are assumed to be isotropic, homogeneous, immiscible, except for dry air and water vapour and chemically non-reacting. Local thermal equilibrium between the solid matrix, gas and liquid phases is assumed. Heat conduction, vapour diffusion, heat convection, liquid water flow due to pressure gradients or capillary effects and water phase change (evaporation and condensation) inside pores are all taken into account. In the partially saturated zones, liquid water is separated from its vapour by a meniscus concave toward gas (capillary water). In order to analyse the thermo-hydro-mechanical behaviour of a soil structure in the low frequency domain, e.g. under earthquake excitation, the u-p formulation is advocated for the finite element discretization.
AB - This work presents the development of a fully coupled mathematical and numerical model for the analysis of the thermo-hydro-mechanical behaviour of non-isothermal multiphase porous materials in dynamics. The model is developed following Lewis and Schrefler within the Hybrid Mixture theory [1]. The porous medium is treated as a multiphase system composed of a solid skeleton with open pores, filled with liquid water and gas. The solid is considered as deformable and non-polar. All the fluids are in contact with the solid phase. The constituents are assumed to be isotropic, homogeneous, immiscible, except for dry air and water vapour and chemically non-reacting. Local thermal equilibrium between the solid matrix, gas and liquid phases is assumed. Heat conduction, vapour diffusion, heat convection, liquid water flow due to pressure gradients or capillary effects and water phase change (evaporation and condensation) inside pores are all taken into account. In the partially saturated zones, liquid water is separated from its vapour by a meniscus concave toward gas (capillary water). In order to analyse the thermo-hydro-mechanical behaviour of a soil structure in the low frequency domain, e.g. under earthquake excitation, the u-p formulation is advocated for the finite element discretization.
KW - Dynamics
KW - Finite element method
KW - Hydro-Thermo-Mechanical processes
KW - Unsaturated porous materials
UR - http://www.scopus.com/inward/record.url?scp=84924007062&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84924007062&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84924007062
T3 - 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014
SP - 3473
EP - 3482
BT - 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014
A2 - Onate, Eugenio
A2 - Oliver, Xavier
A2 - Huerta, Antonio
PB - International Center for Numerical Methods in Engineering
T2 - Joint 11th World Congress on Computational Mechanics, WCCM 2014, the 5th European Conference on Computational Mechanics, ECCM 2014 and the 6th European Conference on Computational Fluid Dynamics, ECFD 2014
Y2 - 20 July 2014 through 25 July 2014
ER -