Homogenization Methods

Rainer Glüge

ISBN 10: 3110793512 / ISBN 13: 9783110793512

Published by De Gruyter, DE, 2023

About this Item

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.

Seller Inventory # LU-9783110793512

Bibliographic Details

• Title: Homogenization Methods
• Publisher: De Gruyter, DE
• Publication Date: 2023
• Language: English
• ISBN 10: 3110793512
• ISBN 13: 9783110793512
• Binding: Paperback
• Condition: New
• Dimensions: 6.69W x 0.42H x 9.61D inches 6.69 inches width by 0.42 inches height by 9.61 inches depth
• Weight: 344 grams

About this title

Synopsis

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.

About the Author

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