chapter 1 Variational Formulation of Finite Element Methods in Solid Mechanics -- chapter 2 Foundation of Incompatible Analysis -- chapter 3 Incompatible Elements for the Theory of Elasticity -- chapter 4 Foundation in Mechanics of Hybrid Stress Elements -- chapter 5 Optimization of Hybrid Stress Finite Elements -- chapter 6 Numerical Stability -- chapter 7 Plastic Analysis of Structures -- chapter 8 Computational Fracture -- chapter 9 Computational Materials -- chapter 10 Finite Element Implementation.