Multiscale Modeling Approaches for Composites

George Chatzigeorgiou is a Research Scientist at CNRS (CR-HDR) based at the Arts et Métiers Institute of Technology, France, and a member of the LEM3-UMR CNRS 7239 laboratory in France. His research is devoted to constitutive modeling of multifunctional materials and homogenization theories of composites. Fodil Meraghni is a Distinguished Professor at the Arts et Métiers Institute of Technology, France. He is the head of the Composites and Smart Materials Research Group at LEM3-UMR CNRS 7239 in France, working on multiscale modeling using micromechanical approaches for homogenization of polymer composites and shape memory alloys. Nicolas Charalambakis is a Professor Emeritus in the Department of Civil Engineering at Aristotle University of Thessaloniki, Greece, and a member of the Center for Research and Development of Advanced Materials AUTH and Texas A&M, USA. His research focuses on homogenization and material instabilities.

Part I. Tensors and Continuum Mechanics Concepts 1. Tensors 2. Continuum mechanics

Part II. Micromechanics for Composite Media 3. General concepts of micromechanics 4. Voigt and Reuss bounds 5. Eshelby solution based mean-field methods 6. Periodic homogenization 7. Laminate theory

Part III. Special Topics in Homogenization 8. Composite spheres/cylinders assemblage 9. Green’s tensor 10. Hashin-Shtrikman bounds 11. Mathematical homogenization theory 12. Nonlinear composites