Nonlinear Finite Elements for Continua and Structures
Nonlinear Finite Elements for Continua and Structures
Nonlinear Finite Elements for Continua and Structures
Why Nonlinear Finite Elements for Continua and Structures ?
Nonlinear Finite Elements for Continua and Structures Ted Belytschko, Wing Kam Liu, Brian Moran Northwestern University, Evanston, Illinois This book provides a comprehensive description of the major methodologies of nonlinear finite element analysis for solid mechanics, as applied to continua and structures. Treatment of the subject is integrated in such a way that the reader can gain an understanding of the fundamental methods, a feeling for the comparative usefulness of different approaches and an appreciation of the difficulties inherent in nonlinear analysis. In-depth coverage of the following is given:
1- Lagrangian and arbitrary Lagrangian Eulerian treatments of continua
2- many of the material laws used in today's software and research
3- solution methods, including explicit and implicit time integration methods and methods for equilibrium problems
4- basic concepts such as stability and smoothness, and techniques such as linearization and regularization
5- methods for shells and structures
6- contact-impact problems
7- element technology, including multi-field elements .to Nonlinear Finite Elements for Continua and Structures