Multiscale, hybrid mixture theory for swelling systems. I: Balance laws

DOI10.1016/0020-7225(95)00089-5zbMath0926.76006OpenAlexW2041756028MaRDI QIDQ1385997

Lynn Schreyer Bennethum, John H. Cushman

Publication date: 5 December 1999

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(95)00089-5

Mathematics Subject Classification ID

Statistical mechanics of liquids (82D15) Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena (76A99)

Related Items

Coupled heat, mass and momentum transport in swelling cellulose based materials with application to retorting of paperboard packages ⋮ Modelling multiphase transport in deformable cellulose based materials exhibiting internal mass exchange and swelling ⋮ Transient transport of heat, mass, and momentum in paperboard including dynamic phase change of water ⋮ Formulation of thermo-hydro-mechanical coupling behavior of unsaturated soils based on hybrid mixture theory ⋮ Mixture theory for a thermoelasto-plastic porous solid considering fluid flow and internal mass exchange ⋮ A multiscale theoretical model for fluid flow in cellular biological media ⋮ Multiscale flow and deformation in hydrophilic swelling porous media ⋮ A nonlinear multi-field coupled model for soils ⋮ The Flow in Periciliary Layer in Human Lungs with Navier-Stokes-Brinkman Equations ⋮ 3D contaminant migration model with consolidation dependent transport coefficients ⋮ Modeling Refugee Movement Based on a Continuum Mechanics Phase-Field Approach of Porous Media ⋮ Thermomechanical theories for swelling porous media with microstructure ⋮ Multiphase transport model of swelling cellulose based materials with variable hydrophobicity ⋮ Modeling of dynamic hydrogel swelling within the pore space of a porous medium ⋮ On the derivation of the transport equation for swelling porous materials with finite deformation ⋮ Response of moist paperboard during rapid compression and heating ⋮ On coupled heat transport and water flow in partially frozen variably saturated porous media ⋮ Effects of permeability and viscosity in linear polymeric gels ⋮ A micropolar mixture theory of multi-component porous media ⋮ Nonlinear tubular organ modeling and analysis for tracheal angioedema by swelling-morphoelasticity ⋮ A model for multiphase flow and transport in porous media including a phenomenological approach to account for deformation -- a model concept and its validation within a code intercomparison study

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiphase transport based on compact distributions
• The thermodynamics of elastic materials with heat conduction and viscosity
• Non-homogeneous media and vibration theory
• Incompressible porous media models by use of the theory of mixtures
• Compressible porous media models by use of the theory of mixtures
• Thermodynamics of an interface
• On multicomponent, multiphase thermomechanics with interfaces
• Nonlinear theory of simple micro-elastic solids. I
• Linear theory of micropolar viscoelasticity
• Toward a thermodynamics and mechanics of mixtures
• Averaging theorems and averaged equations for transport of interface properties in multiphase systems

This page was built for publication: Multiscale, hybrid mixture theory for swelling systems. I: Balance laws