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Homogenization And Porous Media

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Homogenization And Porous Media

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Author : Ulrich Hornung
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Homogenization And Porous Media written by Ulrich Hornung and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

This book offers a systematic, rigorous treatment of upscaling procedures related to physical modeling for porous media on micro-, meso- and macro-scales, including detailed studies of micro-structure systems and computational results for dual-porosity models.

Homogenization And Porous Media

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Author : Ulrich Hornung
language : en
Publisher: Springer Science & Business Media
Release Date : 1997

Homogenization Of Coupled Phenomena In Heterogenous Media

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Author : Jean-Louis Auriault
language : en
Publisher: John Wiley & Sons
Release Date : 2010-01-05

Homogenization Of Coupled Phenomena In Heterogenous Media written by Jean-Louis Auriault and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-05 with Technology & Engineering categories.

Both naturally-occurring and man-made materials are often heterogeneous materials formed of various constituents with different properties and behaviours. Studies are usually carried out on volumes of materials that contain a large number of heterogeneities. Describing these media by using appropriate mathematical models to describe each constituent turns out to be an intractable problem. Instead they are generally investigated by using an equivalent macroscopic description - relative to the microscopic heterogeneity scale - which describes the overall behaviour of the media. Fundamental questions then arise: Is such an equivalent macroscopic description possible? What is the domain of validity of this macroscopic description? The homogenization technique provides complete and rigorous answers to these questions. This book aims to summarize the homogenization technique and its contribution to engineering sciences. Researchers, graduate students and engineers will find here a unified and concise presentation. The book is divided into four parts whose main topics are Introduction to the homogenization technique for periodic or random media, with emphasis on the physics involved in the mathematical process and the applications to real materials. Heat and mass transfers in porous media Newtonian fluid flow in rigid porous media under different regimes Quasi-statics and dynamics of saturated deformable porous media Each part is illustrated by numerical or analytical applications as well as comparison with the self-consistent approach.

Microporomechanics

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Author : Luc Dormieux
language : en
Publisher: John Wiley & Sons
Release Date : 2006-08-14

Microporomechanics written by Luc Dormieux and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-14 with Science categories.

Intended as a first introduction to the micromechanics of porous media, this book entitled “Microporomechanics” deals with the mechanics and physics of multiphase porous materials at nano and micro scales. It is composed of a logical and didactic build up from fundamental concepts to state-of-the-art theories. It features four parts: following a brief introduction to the mathematical rules for upscaling operations, the first part deals with the homogenization of transport properties of porous media within the context of asymptotic expansion techniques. The second part deals with linear microporomechanics, and introduces linear mean-field theories based on the concept of a representative elementary volume for the homogenization of poroelastic properties of porous materials. The third part is devoted to Eshelby’s problem of ellipsoidal inclusions, on which much of the micromechanics techniques are based, and illustrates its application to linear diffusion and microporoelasticity. Finally, the fourth part extends the analysis to microporo-in-elasticity, that is the nonlinear homogenization of a large range of frequently encountered porous material behaviors, namely, strength homogenization, nonsaturated microporomechanics, microporoplasticity and microporofracture and microporodamage theory.

Computational Homogenization Of Heterogeneous Materials With Finite Elements

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Author : Julien Yvonnet
language : en
Publisher: Springer
Release Date : 2019-06-11

Computational Homogenization Of Heterogeneous Materials With Finite Elements written by Julien Yvonnet and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-11 with Mathematics categories.

This monograph provides a concise overview of the main theoretical and numerical tools to solve homogenization problems in solids with finite elements. Starting from simple cases (linear thermal case) the problems are progressively complexified to finish with nonlinear problems. The book is not an overview of current research in that field, but a course book, and summarizes established knowledge in this area such that students or researchers who would like to start working on this subject will acquire the basics without any preliminary knowledge about homogenization. More specifically, the book is written with the objective of practical implementation of the methodologies in simple programs such as Matlab. The presentation is kept at a level where no deep mathematics are required.

Transport Phenomena In Porous Media Iii

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Author : Derek B Ingham
language : en
Publisher: Elsevier
Release Date : 2005-07-29

Transport Phenomena In Porous Media Iii written by Derek B Ingham and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-29 with Science categories.

Fluid and flow problems in porous media have attracted the attention of industrialists, engineers and scientists from varying disciplines, such as chemical, environmental, and mechanical engineering, geothermal physics and food science. There has been a increasing interest in heat and fluid flows through porous media, making this book a timely and appropriate resource.Each chapter is systematically detailed to be easily grasped by a research worker with basic knowledge of fluid mechanics, heat transfer and computational and experimental methods. At the same time, the readers will be informed of the most recent research literature in the field, giving it dual usage as both a post-grad text book and professional reference.Written by the recent directors of the NATO Advanced Study Institute session on 'Emerging Technologies and Techniques in Porous Media' (June 2003), this book is a timely and essential reference for scientists and engineers within a variety of fields.

Theory Of Porous Media

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Author : Reint de Boer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Theory Of Porous Media written by Reint de Boer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.

Porous media theories play an important role in many branches of engineering, including material science, the petroleum industry, chemical engineering, and soil mechanics, as well as biomechanics. This book offers a consistent treatment of the material-independent fundamental equations of the theory of porous media, formulates constitutive equations for frictional materials in the elastic and plastic range, and traces the historical development of porous media theory. Thus, for the first time, a unique treatment of fluid-saturated porous solids is presented. The corresponding theory is explained by its historical progression, and its current state is thoroughly described.

Computation And Applied Mathematics

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Author :
language : en
Publisher:
Release Date : 2004

Computation And Applied Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.

Macroscale Models Of Flow Through Highly Heterogeneous Porous Media

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Author : M. Panfilov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Macroscale Models Of Flow Through Highly Heterogeneous Porous Media written by M. Panfilov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Science categories.

The The book book was was planned planned in in such such a a manner manner that that two two basic basic goals goals would would be be reached. reached. On On the the one one hand, hand, the the goal goal was was to to show show some some new new results results in in the the field field of of modeling modeling transport transport through through highly highly heterogeneous heterogeneous media, media, based based on on the the homogenization homogenization theory. theory. Multiple Multiple new new mathematical mathematical models models of of transport transport are are presented presented herein, herein, studying studying their their properties, properties, developing developing methods methods to to compute compute effective effective parameters parameters of of the the averaged averaged media, media, simulation simulation of of cell cell problems, problems, using using new new models models to to simulate simulate some some practical practical problems. problems. High High heterogeneity heterogeneity being being subjected subjected to to the the homogenization homogenization procedure, procedure, generates generates non-local non-local phenomena phenomena and and then then gives gives a a possibility possibility to to develop develop a a new, new, non-local non-local (or (or "dynamic"), "dynamic"), theory theory of of transport transport in in porous porous media. media.

Flow And Transport In Porous Media Proceedings Of The Summer School

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Author : Brian Howard Gilding
language : en
Publisher: World Scientific
Release Date : 1992-09-16

Flow And Transport In Porous Media Proceedings Of The Summer School written by Brian Howard Gilding and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-09-16 with Science categories.

Contents:Mathematical Modelling of Saturated and Unsaturated Groundwater Flow (B H Gilding)Applications of the Homogenization Method to Flow and Transport in Porous Media (U Hornung)Finite-Element-Approximation of Solute Transport in Porous Media with General Adsorption Processes (P Knabner)Free Boundary Problems in Fresh-Salt Goundwater Flow (C J van Duijn) Readership: Applied mathematicians and engineers. Keywords:Porous Media Equation;Diffusion Equation;Transport Equation;Infiltration Equation;Partial Differential Equation(PDE);Degenerate Parabolic Equation;Nonlinear PDE;Multiphase Flow in Porous Media;Nonlinear Diffusion;Reactive Solutes;Adsorption;Fresh and Salt Groundwater Flow;Homogenisation;Nonlinear Partial Differential Equations

Homogenization And Porous Media

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