Description

Book 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.

Homogenization Methods: Effective Properties of Composites

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    A Paperback by Rainer Glüge


      View other formats and editions of Homogenization Methods: Effective Properties of Composites by Rainer Glüge

      Publisher: De Gruyter
      Publication Date: 20/02/2023
      ISBN13: 9783110793512, 978-3110793512
      ISBN10: 3110793512
      Also in:
      Mathematical modelling Engineering: Mechanics of fluids Mechanical engineering

      Description

      Book 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.

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