This book presents the fundamentals of nonlinear mechanics within a modern computational approach based mainly on finite element methods. Both material and geometric nonlinearities are treated. The topics build up from the mechanics of finite deformation of solid bodies through to nonlinear structural behaviour including buckling, bifurcation and snap-through. The principles are illustrated with a series of solved problems. This book serves as a text book for a second year graduate course and as a reference for practitioners using nonlinear analysis in engineering and design.
Chapter 1 Introduction. Chapter 2 Kinematics of nonlinear deformation. Chapter 3 Stresses in deformable bodies. Chapter 4 Work and virtual work. Chapter 5 Elastic material properties. Chapter 6 Stress Invariants and material tests. Chapter 7 Elasto-plastic Material Models. Chapter 8 Nonlinear solid finite elements. Chapter 9 Kinematics of large rotations. Chapter 10 Structural elements. Chapter 11 Solution Methods. Chapter 12 Soft computing in computational mechanics.