Advanced materials and composites play a very important role in prospective directions of modern science and technology, defining the quick development of technique and industry. Intense chemical, physical, and mechanical R&D of modern numerical approaches and methods of mathematical modeling are necessary for development and improvement of material properties. These PHENMA 2017 Proceedings are devoted to the development and solution seeking of different actual problems into a framework of the pointed research directions. The book presents new results of internationally recognized scientific teams in the fields of materials science, physics, mechanics, manufacturing techniques and technologies of advanced materials, operating in diapasons from the nanometer level to the macroscopic level. The proposed theoretical and experimental methods are devoted to new approaches and methods for fabrication of nanomaterials, (environmentally-friendly) piezoelectrics, magnetic and other advanced materials and composites. In particular, this book presents new results of theoretical and experimental analysis of advanced materials and devices with previously given and improved characteristics, developed on the basis of methods of electric elasticity and physics of condensed matter. Our results cover numerical approaches (in particular, finite-element, finite-difference and boundary-element modeling) developed on the basis of original computer software, demonstrating new fascinating results for advanced materials and devices. The developed materials with special properties and novel devices demonstrate higher and improved properties in comparison with corresponding characteristics of the competitive publications. In the result, it gives a new knowledge, which is necessary for numerous applications. The developed theoretical, computational and test methods, manufactured experimental devices and setups possess significant possibilities and demonstrate improvements in the study of various structure-sensitive properties of solids and media. This collection presents selected reports of the 2017 International Conference on Physics, Mechanics of New Materials and Their Applications (PHENMA 2017, October 14-16, 2017, Jabalpur, India), http://phenma2017.math.sfedu.ru; http://phenma2017.iiitdmj.ac.in. This book is addressed to students, post-graduate students, scientists and engineers that are studying and developing a new generation of nanomaterials and nanostructures, piezoelectrics and magnetic materials, other promising materials, and also various devices, manufactured on their base and intended for numerous applications in various regions of science, technique and technology. This book presents new investigations and scientific results in condensed matter physics, materials science, physical and mechanical experiments, processing techniques and engineering of nanomaterials, piezoelectrics, ferromagnetics and other advanced materials and composites, numerical methods, and various promising applications (including industrial) and developed devices.