Hybrid and Incompatible Finite Element Methods by Chang-Chun Wu, Theodore H.H. Pian (2005, Hardcover)

Many engineers and mathematicians consider the uniqueness of multivariable elements too abstract and impractical. Beginning with an introduction to the variational formulation of finite element methods in solid mechanics, this book introduces the advancement of the theory and applications of incompatible and multivariable finite element methods. A discussion of fundamental theories follows, laying the theoretical foundation for incompatible elements and their application in plasticity theory, and introducing new ideas in the development of hybrid finite elements. They conclude with applications in fracture problems and implementation of the methods in a finite element analysis program.