Variational geometric approach to the thermodynamics of porous media (Q6198799)

scientific article; zbMATH DE number 7821841

Language	Label	Description	Also known as
English	Variational geometric approach to the thermodynamics of porous media	scientific article; zbMATH DE number 7821841

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instance of

scholarly article

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title

Variational geometric approach to the thermodynamics of porous media (English)

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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

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publication date

21 March 2024

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full work available at URL

https://arxiv.org/abs/2107.04463

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MaRDI profile type

MaRDI publication profile

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cites work

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A micro-structured continuum modelling compacting fluid-saturated grounds: The effects of pore-size scale parameter

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The Darcy-Forchheimer law for modelling fluid flow in biological tissues

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Penalization model for Navier–Stokes–Darcy equations with application to porosity-oriented topology optimization

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ON A HIERARCHY OF APPROXIMATE MODELS FOR FLOWS OF INCOMPRESSIBLE FLUIDS THROUGH POROUS SOLIDS

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General coupling of porous flows and hyperelastic formulations -- from thermodynamics principles to energy balance and compatible time schemes

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A general approach for modeling interacting flow through porous media under finite deformations

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Multi-component multiphase flow through a poroelastic medium

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Poroelasticity

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A variational theory of porous media

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Geometric framework for modeling nonlinear flows in porous media, and its applications in engineering

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Macroscopic Lagrangian formulation of poroelasticity with porosity dynamics

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A variational approach for the deformation of a saturated porous solid: A second-gradient theory extending Terzaghi's effective stress principle

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Boundary conditions at fluid-permeable interfaces in porous media: a variational approach

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Formulation of a finite deformation model for the dynamic response of open cell biphasic media

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General quantitative analysis of stress partitioning and boundary conditions in undrained biphasic porous media via a purely macroscopic and purely variational approach

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Analytical continuum mechanics <i>à la</i> Hamilton–Piola least action principle for second gradient continua and capillary fluids

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Analysis of the consolidation problem of compressible porous media by a macroscopic variational continuum approach

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Variational continuum multiphase poroelasticity. Theory and applications

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Variational formulation of pre-stressed solid-fluid mixture theory, with an application to wave phenomena

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Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits

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Actively deforming porous media in an incompressible fluid: a variational approach

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Reduced variational formulations in free boundary continuum mechanics

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A variational derivation of the thermodynamics of a moist atmosphere with rain process and its pseudoincompressible approximation

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Q4393433

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Thermodynamically consistent semi-compressible fluids: a variational perspective

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CONTINUUM THEORIES OF MIXTURES: BASIC THEORY AND HISTORICAL DEVELOPMENT

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A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

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Flow through porous media due to high pressure gradients

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Thermodynamics of systems with internal adiabatic constraints: time evolution of the adiabatic piston

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To the piston problem

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Non-canonical Poisson bracket for nonlinear elasticity with extensions to viscoelasticity

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Identifiers

arXiv ID

2107.04463

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DOI

10.1002/zamm.202100198

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6198799