Plasticity: Work Hardening and Plastic Strain Evolution

This lecture covers the evolution of hardening and plastic strain in materials, focusing on the modeling of strain increments, isotropic hardening, and the yield condition. It also discusses the extension of work hardening beyond uniaxial tension and the complex loading paths in stress space. The lecture delves into the relationship between stress increments and plastic strains, emphasizing the importance of maintaining equilibrium and elasticity. Additionally, it explores the challenges of determining plastic strains in problems involving strain paths and mixed paths. Various forms of hardening models are presented, along with their applications in understanding material behavior.