Homogenization Methods : Effective Properties of Composites.

Format:

Book

Author/Creator:

Glüge, Rainer.

Series:

De Gruyter STEM

Language:

English

Subjects (All):

Composite materials--Mathematical models.

Composite materials.

Physical Description:

1 online resource (198 pages)

Edition:

1st ed.

Other Title:

Homogenization Methods

Place of Publication:

Berlin/Boston : Walter de Gruyter GmbH, 2023.

Summary:

Almost all materials are inhomogeneous at the microscale. Typical examples are fiber- and grain structures made of anisotropic phases. These cannot be accounted for in detail in engineering calculations. Instead, effective, homogeneous material properties are used. These are obtained from the inhomogeneous structures by homogenization methods. This book provides a structured overview of the analytical homogenization methods, including the most common estimates, bounds, and Fourier methods. The focus is on linear and anisotropic constitutive relationships, like Hookean elasticity and Fourier’s law for thermal conduction. All sections are accompanied by example calculations, including program code that is also available online.

Contents:

Frontmatter

Preface

Contents

1 Introduction

2 Basics

3 Characterization of microstructure

4 The initial and boundary value problem of homogenization

5 Homogenization with the aid of structural mechanics

6 Estimates in terms of volume fractions

7 Basic solutions

8 Reformulations of the homogenization problem: The eigenstrain problem, the polarization problem and influence tensors

9 Improved estimates based on the Eshelby solution

10 Percolation bounds

11 Hashin–Shtrikman variational method

12 Fourier and Green methods

13 Orientation averages

Bibliography

Index

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

9783110793529

3110793520

OCLC:

1370495413