This book delves into the mechanical analysis of the nanomaterials and polymer nanocomposite materials by shedding light on the mechanical performance of nanomaterials, elasticity and viscoelasticity behaviors of polymer nanocomposites, the laminate and sandwich theories, durability and fatigue behaviors. The chapters in this book bring together leading experts in the field to provide an update of the latest scientific results and a fully holistic understanding of the mechanical performance of these materials. The book interests the academic and industrial researchers, R&D managers and engineers working in material and nanomaterial sciences, polymer science and technology, automotive and aerospace engineering, construction and sporting goods, etc. The book also targets the readers that may have no prior knowledge about composite and nanocomposite materials.