Homogenization Methods : : Effective Properties of Composites / / Rainer Glüge.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
• VerfasserIn: Glüge, Rainer,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2023]; ©2023
• Year of Publication: 2023
• Language: English
• Series: De Gruyter STEM
• Physical Description: 1 online resource (X, 188 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110793529; 9783111175782; 9783111319292; 9783111318912; 9783111319124; 9783111318165
• DOI: 10.1515/9783110793529
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Rainer Glüge.

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.