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 solve them approximatively.This book offers a unified presentation of continuum mechanical models and their discrete counterparts. It gives a deeper understanding of the relation between the main numerical methods, finite element methods and finite volume methods, and the advantages and shortcomings of each. This book show, by way of Matlab code snippets, how to implement the methods described in the book for all types of different problems; linear and nonlinear, stationary and time dependent, solids and fluids, for typical common finite element, finite volume and time stepping methods. Provides a comprehensive approach for statistical RVE generation and homogenization of reconstructed RVE.Creates a link between experimental and theoretical homogenization approaches. Shows you how to extract statistical data from a different experimental approach. Allows you to approximate higher order correlation functions.  INDICE: Chapter I (Literature Survey) Chapter II (Calculation of Two-Point Correlation Function) Chapter III (Approximate Solution for N-Point Correlation Functions for Heterogeneous Materials) Chapter IV (RVE Reconstruction of Heterogeneous Materials Using Statistical Function) Chapter V (Statistical Homogenization of heterogeneous materials) Chapter VI (Homogenization of reconstructed RVE)

• ISBN: 978-1-78548-023-2
• Editorial: Elsevier
• Encuadernacion: Cartoné
• Páginas: 300
• Fecha Publicación: 01/06/2015
• Nº Volúmenes: 1
• Idioma: Inglés