Applied RVE Reconstruction and Homogenization of Heterogeneous Materials

Applied RVE Reconstruction and Homogenization of Heterogeneous Materials contains the basic principles underlying the main continuum mechanical partial differential equation models used in practice, together with numerical methods to approximately solve them.

This book offers a unified presentation of continuum mechanical models and their discrete counterparts, providing a deeper understanding of the relationship between the main numerical methods, finite element methods, finite volume methods, and the advantages and shortcomings of each.

In addition, the book shows, by way of Matlab code snippets, how to implement the methods described for all types of different problems, including linear and nonlinear and stationary and time dependent, also covering solids and fluids and the typical common finite element, finite volume, and time stepping methods.