MARC details
| 000 -LEADER |
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| fixed length control field |
03300nam a22003017a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ZW-GwMSU |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20230829113652.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
230829b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780750310499 |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
rda |
| Language of cataloging |
English |
| Transcribing agency |
MSULIB |
| Description conventions |
rda |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
TA418.9.C6 GRA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Grabovsky Yury |
| Relator term |
author |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Composite materials : |
| Remainder of title |
mathematical theory and exact relations / |
| Statement of responsibility, etc |
created by Yury Grabovsky |
| 264 ## - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Name of producer, publisher, distributor, manufacturer |
IOP Publishing, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2016. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xiv, (irregular pagination): |
| Dimensions |
25 cm |
| 336 ## - CONTENT TYPE |
|---|
| Source |
rdacontent |
| content type term |
text |
| 337 ## - MEDIA TYPE |
|---|
| source |
rdamedia |
| media type term |
unmediated |
| media type code |
n |
| 338 ## - CARRIER TYPE |
|---|
| source |
rdacarrier |
| carrier type term |
volume |
| carrier type code |
nc |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes a bibliography |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
<br/>Preface<br/>1. Introduction<br/>part I. Mathematical theory of composite materials. 2. Material properties and governing equations<br/>2.1. Introduction<br/>2.2. Conductivity and elasticity<br/>2.3. Abstract Hilbert space framework<br/>2.4. Boundary value problems<br/>2.5. Geometry of local spaces. 3. Composite materials<br/>3.1. Mathematical definition of a composite<br/>3.2. Periodic composites<br/>3.3. Properties of H-convergence. part II. General theory of exact relations and links<br/>4. Exact relations<br/>4.1. Introduction<br/>4.2. L-relations<br/>4.3. Sufficient conditions for stability under homogenization<br/>4.4. Special types of exact relations<br/>4.5. Proofs of theorems 4.8, 4.12, 4.11. 5. Links<br/>5.1. Links as exact relations<br/>5.2. Algebraic structure of links<br/>5.3. Volume fraction formulas as links. 6. Computing exact relations and links<br/>6.1. Finding Jordan A-multialgebras<br/>6.2. Computing exact relations<br/>6.3. Computing volume fraction relations<br/>6.4. Finding Jordan A^-multialgebras<br/>6.5. Computing links. part III. Case studies<br/>7. Introduction. 8. Conductivity with the Hall effect<br/>8.1. Two-dimensional conductivity with the Hall effect<br/>8.2. Three-dimensional conductivity with the Hall effect<br/>8.3. Fibrous conducting composites with the Hall effect. 9. Elasticity<br/>9.1. Two-dimensional elasticity<br/>9.2. Three-dimensional elasticity<br/>9.3. Fibrous elastic composites. 10. Piezoelectricity<br/>10.1. Exact relations<br/>10.2. Links<br/>10.3. Two-dimension-specific relations and links. 11. Thermoelasticity<br/>11.1. Two-dimensional thermoelasticity<br/>11.2. Three-dimensional thermoelasticity<br/>12. Three-dimensional thermoelectricity. part IV. Appendices<br/>A. E- and J -regularity for conductivity and elasticity<br/>B.A polycrystalline L-relation that is not exact<br/>C. Multiplication of SO(3) irreps in endomorphism algebras |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
The mathematical method of composites has reached a very high level of maturity and developments have increased our understanding of the relationship between the microstructure of composites and their macroscopic behaviour. This book provides a self-contained unified approach to the mathematical foundation of the theory of composites, leading to the general theory of exact relations. It also provides complete lists of exact relations in many specific physically relevant contexts, such as conductivity, fibre-reinforced elasticity, piezoelectricity, thermoelectricity and more |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Composite materials |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Materials science |
| General subdivision |
Mathematics |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Physics |
| General subdivision |
Mathematical & Computational |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematical physics |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Composites |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
Book |