Composite Materials (Second Edition) : Mathematical Theory and Exact Relations.

Format:

Book

Author/Creator:

Grabovsky, Yury.

Series:

IOP Ebooks Series

Language:

English

Subjects (All):

Composite materials.

Elasticity.

Physical Description:

1 online resource (374 pages)

Edition:

2nd ed.

Place of Publication:

Bristol : Institute of Physics Publishing, 2025.

Summary:

The book starts with a novel unified approach to homogenization, and develops a general theory of microstructure-independent (exact) relations for composite materials that applies to most physical properties of interest, such as conductivity, elasticity, piezoelectricity, thermoelectricity etc. Its methods allow one to obtain a complete list of exact relations in each physical context of interest.

Contents:

PRELIMS.pdf

Outline placeholder

Preface to the 2nd edition

Preface to the 1st edition

Acknowledgements

Author biography

Yury Grabovsky

CH001.pdf

Chapter Introduction

References

CH002.pdf

Chapter Material properties and governing equations

2.1 Introduction

2.2 Conductivity and elasticity

2.3 Abstract Hilbert space framework

2.4 Boundary value problems

2.5 The compensated compactness property

2.6 Geometry of local spaces

2.6.1 Symbol non-degeneracy

2.6.2 Density theorems

2.6.3 Pointwise behavior of the fields †

CH003.pdf

Chapter Composite materials

3.1 Mathematical definition of a composite

3.2 Periodic composites

3.2.1 Fiber-reinforced periodic composites

3.2.2 G-closure

3.2.3 A formula for the effective tensor

3.2.4 Lamination formula Generated by AI.

Notes:

Description based on publisher supplied metadata and other sources.

Part of the metadata in this record was created by AI, based on the text of the resource.

ISBN:

0-7503-6249-9

OCLC:

1526228497