Representative Volume Elements and Unit Cells: Concepts, Theory, Applications and Implementation

ISBN-13: 9780081026380 / Angielski / Miękka / 2019 / 482 str.

Shuguang Li; Elena Sitnikova

Spis treści

Preface

Part One: Basics
1. Introduction d background, objectives and basic concepts
2. Symmetry, symmetry transformations and symmetry conditions
3. Material categorisation and material characterisation
4. Representative volume elements and unit cells
5. Common erroneous treatments and their conceptual sources of errors

Part Two: Consistent formulation of unit cells and representative volume elements
6. Formulation of unit cells
7. Periodic traction boundary conditions and the key degrees of freedom for unit cells
8. Further symmetries within a UC
9. RVE for media with randomly distributed inclusions
10. The diffusion problem
11. Boundaries of applicability of representative volume elements and unit cells

Part Three: Further developments
12. Applications to textile composites
13. Application of unit cells to problems of finite deformation
14. Automated implementation: UnitCells© composites characterisation code

Index

O autorze

Shuguang Li is a Professor of Aerospace Composites at the Institute for Aerospace Technology, Faculty of Engineering, University of Nottingham, UK. He obtained his PhD from the University of Manchester in 1993 and returned to his academic track as a lecturer at the University of Manchester in 1995 and was appointed to his present position in 2012. Professor Li has published well over 100 academic papers, most of them in highly reputable international journals. His main research interest is in the area of analysis of composite materials and structures, in particular, on modelling damage and failure, micromechanics and material characterisation. As an outcome of his research on micromechanical modelling of composites, a piece of software UnitCells© has emerged which offers material scientists and structural designers a useful tool for characterisation of composites in terms of effective elastic properties as well as strength properties. Elena Sitnikova is currently a Research Fellow at the Faculty of Engineering, the University of Nottingham. She received her MSc degree in Applied Mathematics, Mechanics from Saint Petersburg State University in 2004 and PhD in Engineering from the University of Aberdeen in 2010. Prior to joining the University of Nottingham in 2013, she took a position of Research Associate at the University of Liverpool. Dr Sitnikova authored a number of research papers in several fields of engineering. Her current interests are in the field of textile composites, with particular emphasis on problems of damage, material characterisation and high strain rate response of these materials.