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

Representative Volume Elements and Unit Cells will clearly explain how representative volume elements and unit cells should to be accurately constructed, in terms of finite element analysis and the imposition of boundary conditions, prescription of loads, meshing, and post-processing. The theoretical background for using FEA in materials characterization is given in full, hence readers will gain a clear and detailed understanding of the underlying principles, and can use the methodology presented in the development of their own models. Full derivations for some of the commonly used Unit Cells are presented, so that users will be able to apply them directly in their own developments, as well as gain the necessary concepts and skills if they wish to build their own facilities on top of the existing framework. Furthermore, a piece of code designed as an add-on to Abaqus software, UnitCells©, will be provided on a companion site, for material characterization purposed for some of the common types of composites, in addition to the code there will be a user manual and relevant templates. The theories presented in this book will give users more confidence when using REV/UC models to analysis large structures with accuracy and efficiencyIncludes systematic explanations of REV and UC theories, as well as their applications in compositesIllustrates in detail how to set up unit cell models and provides an open source code to implement via Abaqus INDICE: 1. Introduction 2 Common erroneous treatments and their conceptual sources of errors 3. Length Scales 4. Symmetry 5. Continuity and Free Body Diagrams 6. Symmetry Conditions 7. Material Categorisation 8. Material Characterisation 9. RVEs and Unit Cells 10. Relative Displacement Field 11. Relative Displacement Boundary Conditions for Unit Cells 12. Key degrees of freedom 13. Average Stresses, Average Strains and Effective Material Properties 14. Further Symmetries within a Unit Cell 15. The Roles of Each Type of Symmetry in Material Categorisation and Characterisation 16. 'Sanity Checks' as Basic Verifications 17. UD Composites and Transverse Isotropy 18. RVE for Randomly Distributed Inclusions 19. Diffusion Problems 20. Boundary of Applicability of RVEs and UCs 21. Applications to Textile Composites 22. UnitCells© Composites Characterisation Code 23. Other Related Theoretical Frameworks and Deceptions 24. Concluding Remarks

• ISBN: 978-0-08-102638-0
• Editorial: Woodhead Publishing
• Encuadernacion: Rústica
• Páginas: 360
• Fecha Publicación: 01/11/2019
• Nº Volúmenes: 1
• Idioma: Inglés