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Microcontinuum Field Theories: II. Fluent Media

Autor A. Cemal Eringen
en Limba Engleză Hardback – 29 mar 2001
Microcontinuum field theories constitute an extension of classical field theories - of elastic solids, viscous fluids, electromagnetism, and the like - to microscopic length and time scales. Material bodies are viewed as collections of a large number of deformable particles (sub-continua), suitable for modeling blood, porous media, polymers, liquid crystals, slurries, and composite materials.
This volume extends and applies the ideas developed in the first volume, Microcontinuum Field Theories: Foundations and Solids, to liquid crystals, biological fluids, and other microstretch and micomorphic fluids. The theory makes it possible to discuss properties of such materials that are beyond the scope of classical field theories and may provide a basis for the resolution of some outstanding problems, such as turbulence.
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Specificații

ISBN-13: 9780387989693
ISBN-10: 0387989692
Pagini: 340
Ilustrații: XIV, 340 p.
Dimensiuni: 155 x 235 x 22 mm
Greutate: 0.62 kg
Ediția:2001
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

Preface.- Micropolar Fluid Dynamics.- Electrodynamics of Micropolar Fluids.- Anistotropic Fluids and Suspensions.- Liquid Crystals.- Electrodynamics of Liquid Crystals.- Selected Problems in Liquid Crystals.- Microstretch Fluids.- Electrodynamics of Polymeric Liquid Crystals.- Micromorphic Fluids.- References.

Descriere

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Microcontinuum field theories constitute an extension of classical field theories -- of elastic bodies, deformations, electromagnetism, and the like -- to microscopic spaces and short time scales. Material bodies are here viewed as collections of large numbers of deformable particles, much as each volume element of a fluid in statistical mechanics is viewed as consisting of a large number of small particles for which statistical laws are valid. Classical continuum theories are valid when the characteristic length associated with external forces or stimuli is much larger than any internal scale of the body under consideration. When the characteristic lengths are comparable, however, the response of the individual constituents becomes important, for example, in considering the fluid or elastic properties of blood, porous media, polymers, liquid crystals, slurries, and composite materials. This volume is concerned with the kinematics of microcontinua. It begins with a discussion of strain, stress tensors, balance laws, and constitutive equations, and then discusses applications of the fundamental ideas to the theory of elasticity.

Caracteristici

Emphasizes the fundamentals and the dynamics of microcontinua Thoroughly covers the kinematics of microcontinua, strain, stress tensors, balance laws, thermodynamics, and constitutive equations for solids and fluids subject to electromagnetic fields and mechanical loads Includes discussion on boundary- and initial-value problems and presents variational and uniqueness theorems Offers solutions for many applied problems involving micropolar, microstretch and micromorphic bodies, and
electromagnetic solids