Nonlocal Continuum Field Theories:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2002
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Nonlocal continuum field theories are concerned with material bodies whose behavior at any interior point depends on the state of all other points in the body -- rather than only on an effective field resulting from these points -- in addition to its own state and the state of some calculable external field. Nonlocal field theory extends classical field theory by describing the responses of points within the medium by functionals rather than functions (the "constitutive relations" of classical field theory). Such considerations are already well known in solid-state physics, where the nonlocal interactions between the atoms are prevalent in determining the properties of the material. The tools developed for crystalline materials, however, do not lend themselves to analyzing amorphous materials, or materials in which imperfections are a major part of the structure. Nonlocal continuum theories, by contrast, can describe these materials faithfully at scales down to the lattice parameter. This book presents a unified approach to field theories for elastic solids, viscous fluids, and heat-conducting electromagnetic solids and fluids that include nonlocal effects in both space and time (memory effects). The solutions to the field equations agree remarkably well with atomic theories and experimental observations |
| Physical Description: | 1 Online-Ressource (XVI, 376 p) |
| ISBN: | 9780387226439 9780387952758 |
| DOI: | 10.1007/b97697 |
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| 500 | |a Nonlocal continuum field theories are concerned with material bodies whose behavior at any interior point depends on the state of all other points in the body -- rather than only on an effective field resulting from these points -- in addition to its own state and the state of some calculable external field. Nonlocal field theory extends classical field theory by describing the responses of points within the medium by functionals rather than functions (the "constitutive relations" of classical field theory). Such considerations are already well known in solid-state physics, where the nonlocal interactions between the atoms are prevalent in determining the properties of the material. The tools developed for crystalline materials, however, do not lend themselves to analyzing amorphous materials, or materials in which imperfections are a major part of the structure. Nonlocal continuum theories, by contrast, can describe these materials faithfully at scales down to the lattice parameter. This book presents a unified approach to field theories for elastic solids, viscous fluids, and heat-conducting electromagnetic solids and fluids that include nonlocal effects in both space and time (memory effects). The solutions to the field equations agree remarkably well with atomic theories and experimental observations | ||
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| institution | BVB |
| isbn | 9780387226439 9780387952758 |
| language | English |
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| physical | 1 Online-Ressource (XVI, 376 p) |
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| spelling | Eringen, A. Cemal Verfasser aut Nonlocal Continuum Field Theories edited by A. Cemal Eringen New York, NY Springer New York 2002 1 Online-Ressource (XVI, 376 p) txt rdacontent c rdamedia cr rdacarrier Nonlocal continuum field theories are concerned with material bodies whose behavior at any interior point depends on the state of all other points in the body -- rather than only on an effective field resulting from these points -- in addition to its own state and the state of some calculable external field. Nonlocal field theory extends classical field theory by describing the responses of points within the medium by functionals rather than functions (the "constitutive relations" of classical field theory). Such considerations are already well known in solid-state physics, where the nonlocal interactions between the atoms are prevalent in determining the properties of the material. The tools developed for crystalline materials, however, do not lend themselves to analyzing amorphous materials, or materials in which imperfections are a major part of the structure. Nonlocal continuum theories, by contrast, can describe these materials faithfully at scales down to the lattice parameter. This book presents a unified approach to field theories for elastic solids, viscous fluids, and heat-conducting electromagnetic solids and fluids that include nonlocal effects in both space and time (memory effects). The solutions to the field equations agree remarkably well with atomic theories and experimental observations Physics Mechanics Mechanics, applied Condensed Matter Physics Theoretical and Applied Mechanics Feldtheorie (DE-588)4016698-3 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 gnd rswk-swf Nichtlokalität (DE-588)4653929-3 gnd rswk-swf Kontinuumsmechanik (DE-588)4032296-8 s Feldtheorie (DE-588)4016698-3 s Nichtlokalität (DE-588)4653929-3 s 1\p DE-604 https://doi.org/10.1007/b97697 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Eringen, A. Cemal Nonlocal Continuum Field Theories Physics Mechanics Mechanics, applied Condensed Matter Physics Theoretical and Applied Mechanics Feldtheorie (DE-588)4016698-3 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Nichtlokalität (DE-588)4653929-3 gnd |
| subject_GND | (DE-588)4016698-3 (DE-588)4032296-8 (DE-588)4653929-3 |
| title | Nonlocal Continuum Field Theories |
| title_auth | Nonlocal Continuum Field Theories |
| title_exact_search | Nonlocal Continuum Field Theories |
| title_full | Nonlocal Continuum Field Theories edited by A. Cemal Eringen |
| title_fullStr | Nonlocal Continuum Field Theories edited by A. Cemal Eringen |
| title_full_unstemmed | Nonlocal Continuum Field Theories edited by A. Cemal Eringen |
| title_short | Nonlocal Continuum Field Theories |
| title_sort | nonlocal continuum field theories |
| topic | Physics Mechanics Mechanics, applied Condensed Matter Physics Theoretical and Applied Mechanics Feldtheorie (DE-588)4016698-3 gnd Kontinuumsmechanik (DE-588)4032296-8 gnd Nichtlokalität (DE-588)4653929-3 gnd |
| topic_facet | Physics Mechanics Mechanics, applied Condensed Matter Physics Theoretical and Applied Mechanics Feldtheorie Kontinuumsmechanik Nichtlokalität |
| url | https://doi.org/10.1007/b97697 |
| work_keys_str_mv | AT eringenacemal nonlocalcontinuumfieldtheories |