Meshless methods in solid mechanics /
Youping Chen, James D. Lee, and Azim Eskandarian.
- New York, NY : Springer, c2006.
- xi, 200 p. : ill. ; 24 cm.
Includes bibliographical references (p. 186-195) and index.
1. Introduction -- 2. Fundamental of continuum mechanics -- 3. Fundamentals of finite element method -- 4. An overview on meshless methods and their applications -- 5. Procedures of meshless methods -- 6. Meshless analysis of elastic problems -- 7. Meshless analysis of nonlocal continua -- 8. Meshless analysis of plasticity -- App. A. Vectors and tensors -- App. B. Representations of isotropic scalar, vector, and tensor functions (Wang, 1970, 1971) -- App. C. Classification of partial differential equations -- App. D. User's manual : meshless computer program for electrostatics and electrodynamics -- App. E. User's manual : meshless computer program for analysis of crack growth in elastoplastic continuum.
The subjects in this book cover the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the methodologies, formulations, procedures, and applications of various meshless methods. It also provides general and detailed procedures of meshless analysis on elastostatics, elastodynamics, non-local continuum mechanics and plasticity with a large number of numerical examples. Some basic and important mathematical methods are included in the Appendixes.