Hybrid and Incompatible Finite Element Methods reduces theory and abstract mathematics into practical tools. Beginning with an introduction to the variational formulation of finite element methods in solid mechanics, the authors introduce recent advances in the theory and applications of incompatible and multivariable finite element methods. They present a discussion of fundamental theories, laying the theoretical foundation for incompatible elements and their application in plasticity theory and introducing new ideas in the development of hybrid finite elements. The final chapters explore applications to fracture problems and demonstrate the implementation of a finite element analysis program.

Variational Formulation of Finite Element Methods in Solid Mechanics. Foundation of Incompatible Analysis. Elements for the Theory of Elasticity. Foundation in Mechanics of Hybrid Stress Elements. Optimization of Hybrid-Stress Finite Elements. Numerical Stability: Zero Energy Mode Analysis. Plastic Analysis of Structures. Computational Fracture. Computational Materials. Finite Element Implementation.

Pian\, Theodore H.H.; Wu\, Chang-Chun