Nonlocal Continuum Field Theories / Edition 1

Nonlocal Continuum Field Theories / Edition 1

by A. Cemal Eringen
     
 

ISBN-10: 1441929312

ISBN-13: 9781441929310

Pub. Date: 12/03/2010

Publisher: Springer New York

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…  See more details below

Overview

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.

Read More

Product Details

ISBN-13:
9781441929310
Publisher:
Springer New York
Publication date:
12/03/2010
Edition description:
Softcover reprint of hardcover 1st ed. 2002
Pages:
376
Product dimensions:
6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

1. Motion and Deformation / 2. Stress / 3. Constitutive Axioms / 4. Nonlocal Electromagnetic Theory / 5. Constitutive Equations of Memory-Dependent Nonlocal E-M Elastic Solids / 6. Nonlocal Linear Elasticity / 7. Nonlocal Fluid Dynamics / 8. Nonlocal Linear Electromagnetic Theory / 9. Memory-Dependent Nonlocal Thermoelastic Solids / 10. Memory-Dependent Nonlocal Fluids / 11. Memory-Dependent Nonlocal Electromagnetic Elastic Solids / 12. Memory-Dependent Nonlocal Electromagnetic Thermofluids / 13. Nonlocal Microcontinua / 14. Memory-Dependent Nonlocal Micropolar E-M Elastic Solids / 15. Nonlocal Continuum Theory of Liquid Crystals

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >