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Nonlocal continuum field theories
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ISBN: 1280009411 9786610009411 0387226435 0387952756 Year: 2002 Publisher: New York, New York : Springer,

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Abstract

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.


Book
Mechanics of continua
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Year: 1967 Publisher: New York : Wiley,

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Book
Nonlinear theory of continuous media
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Year: 1962 Publisher: New York : McGraw-Hill,

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Book
Mechanics of continua.
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Year: 1967 Publisher: New York (N.Y.) Wiley

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Book
Continuum physics
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Year: 1971 Publisher: New York (N.Y.): Academic press

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Microcontinuum Field Theories
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ISBN: 0387986200 9780387986203 Year: 1999 Publisher: New York (N.Y.) Springer

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Book
Nonlinear theory of continuous media
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Year: 1962 Publisher: New York (N.Y.): McGraw-Hill

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Continuum physics
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Year: 1971 Publisher: New York-London Academic Press

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