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This is the first book that systemically introduces the theory and implementation of Computational Grains for micromechanical modeling of heterogeneous materials. This book covers the specifically designed mathematics embedded in Computational Grains, and the entire process of microstructure construction, tessellation, CG simulation and homogenization. The Computational Grains discussed in this book consider elastic, non-elastic, and multi-physics solids. Materials damage development are also preliminarily discussed, with CGs considering matrix-inclusion debonding as well as embedded microcracks. Presenting the theory step-by-step and with detailed examples and MATLAB codes, the material is accessible and practical for readers. This will be ideal for graduate students and researchers in mechanical and aerospace engineering and applied mechanics.
List of contents
Preface; 1. Introduction; 2. Computational homogenization; 3. Direct numerical simulation of materials using computational grains; 4. Muskhelishvili's complex functions for 2D problems; 5. Computational grains for particulate composites and porous materials; 6. Computational grains for cylindrical fiber composites; 7. Computational grains for nanocomposites; 8. Computational grains for composites with coated inclusions; 9. Computational grains for viscoelastic composites; 10. Computational grains for piezoelectric composites/porous materials; 11. Computational grains with embedded micro-cracks in the matrix and inclusions; 12. Multiscale modeling of composite structures using computational grains.
About the author
Dr. Leiting Dong is currently a Professor in the School of Aeronautic Science and Engineering of Beihang University. His areas of research include fatigue and damage tolerance design of complex metal components, multiscale analysis and design of composite materials and structures, and impact modeling and protection design of aircraft structures.
