The developed original principles and approaches for advanced materials and composites (ferro-piezoelectrics, nanostructures, functional materials and polymeric structures etc.) defines the main achievements and directions of modern natural and technical sciences, technologies, techniques and industry. Direct improvement of the materials and devices characteristics are based on numerous chemical, physical and mechanical studies, modern numerical approaches and methods of mathematical modeling and physical experiment. These PHENMA 2018 proceedings are devoted to development and solution of different actual problems into framework of the above-mentioned scientific directions. The proposed book presents interesting original results in theoretical, computational and experimental methods, which allow manufacturing nano-materials and composites (for example, ferro-piezoelectrical and environmentally-friendly), and other materials in different scale levels with before given and improved properties. The materials could be obtained due to reprocessing natural materials, wasters, fruits and plants. These proceedings also discuss results of mathematical modeling and experimental studies of advanced devices (piezoelectric transducers, energy-harvesters, different sensors, medical devices etc.). The presented studies are based on the new generation nano-materials, ferro-piezoelectrics and other structure-sensitive materials with special properties. The book treats promising modern nano- and microstructure techniques for manufacture of different novel materials (for example, nanostructures) and devices, which are very important for educational purposes and industry, unification and development of various expertises, designs and analyzes. The book presents new results of internationally recognized scientific teams in different areas of materials science, condensed matter physics, physical and mechanical theory and experiment, processing techniques and engineering of advanced materials and composites, numerical methods and numerous applications. These results are devoted to R&D of advanced piezo-ferroelectrics, nanostructures, other promising materials and composites with specific properties, based on the developed processing techniques and modern approaches of chemistry, physics, mechanics and materials science, and also wide spectrum of applications including industry and marketing. The book presents a wide spectrum of results, obtained on the base of original mathematical models, physical experiments, computer modeling, and nano- and piezoelectric applications. This collection presents 50 selected reports of the 2018 International Conference on "Physics, Mechanics of New Materials and Their Applications" (PHENMA 2018, August 9-11, 2018, Busan, South Korea), http://phenma2018.math.sfedu.ru. The book is addressed to students, post-graduate students, scientists and engineers, investigating and developing a new generation of nano-materials and nano-composites, piezo-ferroelectrics, other advanced materials with structure-sensitive properties, and also different devices, manufactured on their base and used in numerous applications in various areas of science, technique and technology. The book presents new research methods and scientific results in the condensed matter physics, materials science, physical and mechanical experiment, processing techniques and engineering of nanomaterials, piezoelectrics and other advanced materials and composites, numerical methods, and also different applications and developed devices.