Mechanics Of Mixtures PDF Download
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| Author | : Kumbakonam R Rajagopal |
| Publisher | : World Scientific |
| Total Pages | : 220 |
| Release | : 1995-10-18 |
| Genre | : Science |
| ISBN | : 9814502596 |
Download Mechanics Of Mixtures Book in PDF, ePub and Kindle
This book presents a unified treatment of the mechanics of mixtures of several constituents within the context of continuum mechanics. After an introduction to the basic theory in the first few chapters, the book deals with a detailed exposition of the mechanics of a mixture of a fluid and an elastic solid, which is either isotropic or anisotropic and is capable of undergoing large deformations. Issues regarding the specification of boundary conditions for mixtures are discussed in detail and several boundary value and initial-boundary value problems are solved. The status of some special theories like those of Darcy and Biot are discussed. Such a study has relevance to several technologically significant problems in geomechanics, biomechanics, diffusion of contaminants and the swelling and absorption of fluids in polymers and polymer composites, to mention a few.
| Author | : Kumbakonam Ramamani Rajagopal |
| Publisher | : World Scientific |
| Total Pages | : 220 |
| Release | : 1995 |
| Genre | : Science |
| ISBN | : 9810215851 |
Download Mechanics of Mixtures Book in PDF, ePub and Kindle
This book presents a unified treatment of the mechanics of mixtures of several constituents within the context of continuum mechanics. After an introduction to the basic theory in the first few chapters, the book deals with a detailed exposition of the mechanics of a mixture of a fluid and an elastic solid, which is either isotropic or anisotropic and is capable of undergoing large deformations. Issues regarding the specification of boundary conditions for mixtures are discussed in detail and several boundary value and initial-boundary value problems are solved. The status of some special theories like those of Darcy and Biot are discussed. Such a study has relevance to several technologically significant problems in geomechanics, biomechanics, diffusion of contaminants and the swelling and absorption of fluids in polymers and polymer composites, to mention a few.
| Author | : Anthony Bedford |
| Publisher | : Springer Nature |
| Total Pages | : 114 |
| Release | : 2021-12-14 |
| Genre | : Science |
| ISBN | : 3030903060 |
Download Hamilton’s Principle in Continuum Mechanics Book in PDF, ePub and Kindle
This revised, updated edition provides a comprehensive and rigorous description of the application of Hamilton’s principle to continuous media. To introduce terminology and initial concepts, it begins with what is called the first problem of the calculus of variations. For both historical and pedagogical reasons, it first discusses the application of the principle to systems of particles, including conservative and non-conservative systems and systems with constraints. The foundations of mechanics of continua are introduced in the context of inner product spaces. With this basis, the application of Hamilton’s principle to the classical theories of fluid and solid mechanics are covered. Then recent developments are described, including materials with microstructure, mixtures, and continua with singular surfaces.
| Author | : George Z Voyiadjis |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 443 |
| Release | : 2006-08-06 |
| Genre | : Technology & Engineering |
| ISBN | : 3540346600 |
Download The Coupled Theory of Mixtures in Geomechanics with Applications Book in PDF, ePub and Kindle
Geomaterials consist of a mixture of solid particles and void space that may be ?lled with ?uid and gas. The solid particles may be di?erent in sizes, shapes, and behavior; and the pore liquid may have various physical and chemical properties. Hence, physical, chemical or electrical interaction - tween the solid particles and pore ?uid or gas may take place. Therefore, the geomaterials in general must be considered a mixture or a multiphase material whose state is described by physical quantities in each phase. The stresses carried by the solid skeleton are typically termed “e?ective stress” while the stresses carried by the pore liquid are termed “pore pressure. ” The summation of the e?ective stress and pore pressure is termed “total stress” (Terzaghi, 1943). For a free drainage condition or completely undrained c- dition, the pore pressure change is zero or depends only on the initial stress condition; it does not depend on the skeleton response to external forces. Therefore, a single phase description of soil behavior is adequate. For an intermediate condition, however, some ?ow (pore pressure leak) may take place while the force is applied and the skeleton is under deformation. Due to the leak of pore pressure, the pore pressure changes with time, and the e?ective stress changes and the skeleton deforms with time accordingly. The solution of this intermediate condition, therefore, requires a multi-phase c- tinuum formulations that may address the interaction of solid skeleton and pore liquid interaction.
| Author | : G P Galdi |
| Publisher | : CRC Press |
| Total Pages | : 148 |
| Release | : 1996-08-01 |
| Genre | : Science |
| ISBN | : 9780582298101 |
Download Mathematical Theory in Fluid Mechanics Book in PDF, ePub and Kindle
This volume consists of four contributions that are based on a series of lectures delivered by Jens Frehse. Konstantin Pikeckas, K.R. Rajagopal and Wolf von Wahl t the Fourth Winter School in Mathematical Theory in Fluid Mechanics, held in Paseky, Czech Republic, from December 3-9, 1995. In these papers the authors present the latest research and updated surveys of relevant topics in the various areas of theoretical fluid mechanics. Specifically, Frehse and Ruzicka study the question of the existence of a regular solution to Navier-Stokes equations in five dimensions by means of weighted estimates. Pileckas surveys recent results regarding the solvability of the Stokes and Navier-Stokes system in domains with outlets at infinity. K.R. Rajagopal presents an introduction to a continuum approach to mixture theory with the emphasis on the constitutive equation, boundary conditions and moving singular surface. Finally, Kaiser and von Wahl bring new results on stability of basic flow for the Taylor-Couette problem in the small-gap limit. This volume would be indicated for those in the fields of applied mathematicians, researchers in fluid mechanics and theoretical mechanics, and mechanical engineers.
| Author | : Morton E. Gurtin |
| Publisher | : Springer |
| Total Pages | : 46 |
| Release | : 2014-05-04 |
| Genre | : Technology & Engineering |
| ISBN | : 3709128749 |
Download On the Thermodynamics of Elastic Materials and of Reacting Fluid Mixtures Book in PDF, ePub and Kindle
| Author | : Yehuda Klausner |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 638 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 1447116771 |
Download Fundamentals of Continuum Mechanics of Soils Book in PDF, ePub and Kindle
Fundamentals of Continuum Mechanics of Soils provides a long-needed general scheme for the study of the important yet problematic material of soil. It closes the gap between two disciplines, soil mechanics and con- tinuum mechanics, showing that the familiar concepts of soil mechanics evolve directly from continuum mechanics. It confirms concepts such as pore pressures, cohesion and dependence of the shear stress on consolidation, and rejects the view that continuum mechanics cannot be applied to a material such as soil. The general concepts of continuum mechanics, field equations and constitutive equations are discussed. It is shown how the theory of mixtures evolves from these equations and how, along with energetics and irrevers- ible thermodynamics, it can be applied to soils. The discussion also sheds light on some aspects of mechanics of materials, especially compressible materials. Examples are the introduction of the Hencky measure of strain, the requirement of dual constitutive equations, and the dependence of the spent internal energy on the stored internal energy. Researchers in engineering mechanics and material sciences may find that the results of experiments on soils can be generalized and extended to other materials. The book is a reference text for students familiar with the fundamentals of mechanics, for scholars of soil engineering, and for soil scientists. It is also suitable as an advanced undergraduate course in soil mechanics.
| Author | : H. M. A. Al-Habbooby |
| Publisher | : |
| Total Pages | : |
| Release | : 1973 |
| Genre | : |
| ISBN | : |
Download The Mechanics of Vertically Moving Particle Mixtures in Liquid Book in PDF, ePub and Kindle
| Author | : A Eringen |
| Publisher | : Elsevier |
| Total Pages | : 332 |
| Release | : 2012-12-02 |
| Genre | : Science |
| ISBN | : 0323155561 |
Download Continuum Physics Book in PDF, ePub and Kindle
Continuum Physics, Volume III: Mixtures and EM Field Theories discusses the field theories for bodies composed of different substances, such as mixtures and interaction of electromagnetic effects with the deformable bodies. This book aims to present the mathematical foundations of nonlinear mechanical, electrical, and magnetic phenomena that take place in mixtures and materially uniform bodies. This volume consists of three parts. Part I is devoted to the development of the theory of mixtures, including kinematics, balance laws, and constitutive equations for bodies consisting of several different substances. Part II is concerned with the mechanics of deformable bodies interacted by electromagnetic fields. The deformation produced by EM fields, EM fields resulting from the deformation of bodies, and plethora of other physical phenomena arising from mechanical and EM interactions are also covered. Micromagnetism is covered in Part III, including considerations arising from the interaction of strong magnetic fields with the inner structure of the body. This publication is valuable to students and researchers interested in mixtures and EM field theories.
| Author | : Jose M. Ortiz de Zarate |
| Publisher | : Elsevier |
| Total Pages | : 321 |
| Release | : 2006-04-19 |
| Genre | : Science |
| ISBN | : 0080459439 |
Download Hydrodynamic Fluctuations in Fluids and Fluid Mixtures Book in PDF, ePub and Kindle
This book deals with density, temperature, velocity and concentration fluctuations in fluids and fluid mixtures. The book first reviews thermal fluctuations in equilibrium fluids on the basis of fluctuating hydrodynamics. It then shows how the method of fluctuating hydrodynamics can be extended to deal with hydrodynamic fluctuations when the system is in a stationary nonequilibrium state. In contrast to equilibrium fluids where the fluctuations are generally short ranged unless the system is close to a critical point, fluctuations in nonequilibrium fluids are always long-ranged encompassing the entire system. The book provides the first comprehensive treatment of fluctuations in fluids and fluid mixtures brought out of equilibrium by the imposition of a temperature and concentration gradient but that are still in a macroscopically quiescent state. By incorporating appropriate boundary conditions in the case of fluid layers, it is shown how fluctuating hydrodynamics affects the fluctuations close to the onset of convection. Experimental techniques of light scattering and shadowgraphy for measuring nonequilibrium fluctuations are elucidated and the experimental results thus far reported in the literature are reviewed. · Systematic exposition of fluctuating hydrodynamics and its applications· First book on nonequilibrium fluctuations in fluids· Fluctuating Boussinesq equations and nonequilibrium fluids· Fluid layers and onset of convection· Rayleigh scattering and Brillouin scattering in fluids· Shadowgraph technique for measuring fluctuations· Fluctuations near hydrodynamic instabilities
