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.
| ISBN: | 9783110793512 |
| Publication date: | 20th February 2023 |
| Author: | Rainer Glüge |
| Publisher: | De Gruyter |
| Format: | Paperback |
| Pagination: | 198 pages |
| Series: | De Gruyter STEM |
| Genres: |
Mechanical engineering Engineering: Mechanics of fluids Engineering applications of polymers and composites Mathematical modelling |
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.
Homogenization Methods features in the following genres: Mathematical modelling, Engineering: Mechanics of fluids, Engineering applications of polymers and composites, Mechanical engineering
Homogenization Methods is available in Paperback
Homogenization Methods was written by Rainer Glüge and published by De Gruyter
Homogenization Methods has 198 pages
Yes it is part of De Gruyter STEM series
£72.00