Nonlinear Continuum Mechanics and Physicsprovides a differential geometry approach to nonlinear continuum mechanics that will appeal to both engineers and material scientists. It includes heuristic and rigorous expositions of crucial concepts like finite deformation compatibility conditions, the Lie-derivative, frame-indifference and material symmetry principles. With exercises at the end of each chapter to emphasize concepts, readers will be able to further understand the latest techniques and research. This book is designed to support postgraduates and researchers in the areas of mechanical engineering, nano-mechanics, biomechanics and computational mechanics.

• Systematically uses a differential geometric approach
• Provides new developments in convex analysis and variational calculus in finite deformation
• Investigates applications in biomechanics and soft matter mechanics
• Explains the atomistic interpretation of stress