Continuum-Based Modeling of the Mechanical Behavior of Nanocomposites via Microstructure and Elasticity Theory for Solid Surfaces

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Over the last few decades, the use of composite materials has revolutionized the face of industry. This can be attributed to the fact that since composites are made from different materials with distinct properties, they can be specifically designed for key manufacturing objectives including enhanced mechanical performance, environmental resistance and energy conservation. In the same way, nanocomposites are now transforming the world of composite materials allowing for the development of a new generation of composites with enhanced functionality and extended application ranging from biomedical applications to the enhancement of structural materials, electronic packaging and environmental protection. Nanocomposites are composite materials in which structures with nanoscale dimensions (smaller than a millionth of a meter), for example, nanoparticles or nanofibers, are embedded in a metal, ceramic or polymer base. This combination generates a synergy between the various constituent parts of the nanocomposite which leads to amazing mechanical properties. For example, if less than 1% (by weight) of nanoparticles is embedded in a traditional polymeric material, it becomes possible to design a new transparent, flexible, electrical conducting polymer. In the same way, we can design new multifunctional polymer-matrix nanocomposites with increased durability (100 times improved wear resistance), increased toughness and strength and increased thermal stability. In the multi-billion dollar flexible packaging industry, polymer nanocomposite technology is being used to enhance package performance and to address packaging waste. Advances in composites engineering have always relied on mathematical models which are used at low cost to predict material behavior under certain mechanical and environmental conditions. These models are traditionally based on a particular simplifying assumption that the fine or micro- structure of the material can be ignored. Experiments have shown that this works well when we never have to consider material behavior at dimensions close to those of the material's fine structure. Unfortunately, this is not the case for nanocomposites where the length scales involved are so small that they make traditional mathematical models obsolete. My research program focuses on the modeling of nanocomposite materials by developing new mathematical models that can accommodate the fine structure of materials and hence the corresponding material behavior at the nanoscale. This will greatly enhance our ability to design and develop new nanocomposites. This grant will allow for the training of at least two PhD and three MSc students in this exciting and challenging multidisciplinary area. The findings of the research will be beneficial to a range of Canadian advanced technology companies in advanced construction materials, electronics and information technology.