Homogenization Methods

Effective Properties of Composites

Rainer Glüge

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English

De Gruyter
20 February 2023

Mathematical modelling; Plastics & polymers technology; Mechanical engineering; Mechanics of fluids

Series: De Gruyter STEM

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.

By: Rainer Glüge
Imprint: De Gruyter
Country of Publication: Germany
Dimensions: Height: 240mm, Width: 170mm,
Weight: 344g
ISBN: 9783110793512
ISBN 10: 3110793512
Series: De Gruyter STEM
Pages: 198
Publication Date: 20 February 2023
Audience: Professional and scholarly , Undergraduate , Undergraduate
Format: Paperback
Publisher's Status: Active

Rainer Glüge is a mechanical engineer who studied continuum mechanics, material modelling and homogenization methods at the University of Magdeburg from 2003 to 2021.