Microcontinuum Field Theories: I. Foundations and Solids
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY
Springer New York
1999
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Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | 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 |
Beschreibung: | 1 Online-Ressource (XVI, 325 p) |
ISBN: | 9781461205555 9781461268154 |
DOI: | 10.1007/978-1-4612-0555-5 |
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isbn | 9781461205555 9781461268154 |
language | English |
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spelling | Eringen, A. Cemal Verfasser aut Microcontinuum Field Theories I. Foundations and Solids by A. Cemal Eringen New York, NY Springer New York 1999 1 Online-Ressource (XVI, 325 p) txt rdacontent c rdamedia cr rdacarrier 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 Physics Mechanics Mechanics, applied Classical Continuum Physics Theoretical and Applied Mechanics Condensed Matter Physics https://doi.org/10.1007/978-1-4612-0555-5 Verlag Volltext |
spellingShingle | Eringen, A. Cemal Microcontinuum Field Theories I. Foundations and Solids Physics Mechanics Mechanics, applied Classical Continuum Physics Theoretical and Applied Mechanics Condensed Matter Physics |
title | Microcontinuum Field Theories I. Foundations and Solids |
title_auth | Microcontinuum Field Theories I. Foundations and Solids |
title_exact_search | Microcontinuum Field Theories I. Foundations and Solids |
title_full | Microcontinuum Field Theories I. Foundations and Solids by A. Cemal Eringen |
title_fullStr | Microcontinuum Field Theories I. Foundations and Solids by A. Cemal Eringen |
title_full_unstemmed | Microcontinuum Field Theories I. Foundations and Solids by A. Cemal Eringen |
title_short | Microcontinuum Field Theories |
title_sort | microcontinuum field theories i foundations and solids |
title_sub | I. Foundations and Solids |
topic | Physics Mechanics Mechanics, applied Classical Continuum Physics Theoretical and Applied Mechanics Condensed Matter Physics |
topic_facet | Physics Mechanics Mechanics, applied Classical Continuum Physics Theoretical and Applied Mechanics Condensed Matter Physics |
url | https://doi.org/10.1007/978-1-4612-0555-5 |
work_keys_str_mv | AT eringenacemal microcontinuumfieldtheoriesifoundationsandsolids |