The Mechanics of Finite Deformation with Applications in Metal Plasticity

This book provides a comprehensive background for analysis of the finite deformation of materials. It is intended for engineering scientists, applied mathematicians, and advanced students beginning their studies in the field. The book begins with the geometry of deformation and motion in finite straining. This is followed by the general theory of stress and stress measures (corresponding to each strain measure) and balance laws of continuum physics. Rotating reference frames and related issues of invariance, objective stress-rates, and material spin are then covered. Simple shearing examples illustrate and clarify stress and deformation measures in these chapters.

Applications of the general equations to specific material behaviors are presented in chapters 4 to 6. Nonlinear elasticity of rubber, plastic deformation of polycrystalline metals, and multiple-slip (with additional kinematics) in metal crystals are covered. Selected original experiments and nonlinear analyses are included, with precise attributions and numerous illustrations.