My background is in applied mathematics and I'm trying to learn plasticity. I have successfully understood the theory and finite element implementation of: linear elasticity, hyperelasticity (Neo-Hookean etc.), elastic contact problems (penalty and Lagrange multiplier-type methods). Recently I have been studying plasticity and so far having a very painful experience.
I have tried reading the following books:
- Simo, Hughes. Computational inelasticity.
- Wriggers. Nonlinear finite elements.
- Han, Reddy. Plasticity.
I'm looking for a reference where one starts with the simplest possible setup, say perfect plasticity, and goes through all the steps from the equations to the Newton's linear systems, and only after that starts increasing complexity. Does anyone know good beginner references for plasticity modeling?