Based on practical problems in mechanical engineering, the author develops in this book the fundamental concepts of non-smooth thermomechanics and introduces the necessary background material needed to deal with mechanics involving discontinuities and non-smooth constraints. From this point, powerful methods for the mechanical engineer and the applied mathematician are derived, and applied to numerous cases, including collisions of deformable and non-deformable solids, shape memory alloys, damage of materials, soil freezing, supercooling and solid-liquid phase changes, to name but a few. This book will be of great value to both the researcher and practitioner, but it can also be used as an advanced text for students in civil and mechanical engineering.
Based on practical problems in mechanical engineering, the author develops in this book the fundamental concepts of non-smooth thermomechanics and introduces the necessary background material needed to deal with mechanics involving discontinuities and non-smooth constraints. From this point, powerful methods for the mechanical engineer and the applied mathematician are derived, and applied to numerous cases, including collisions of deformable and non-deformable solids, shape memory alloys, damage of materials, soil freezing, supercooling and solid-liquid phase changes, to name but a few. This book will be of great value to both the researcher and practitioner, but it can also be used as an advanced text for students in civil and mechanical engineering.