Meshless Methods in Solid Mechanics

• Main Authors: Chen, Youping (Author), Lee, James (Author), Eskandarian, Azim (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2006.
• Subjects: Physics.; Applied mathematics.; Engineering mathematics.; Computational intelligence.; Continuum mechanics.; Mechanical engineering.; Automotive engineering.; Numerical and Computational Physics.; Computational Intelligence.; Continuum Mechanics and Mechanics of Materials.; Appl.Mathematics/Computational Methods of Engineering.; Mechanical Engineering.; Automotive Engineering.

Finite element method has been the dominant technique in computational mechanics in the past decades, and it has made significant contributions to the developments in engineering and science. Nevertheless, finite element method is not well suited to problems having severe mesh distortion owing to ex...

Table of Contents:

• Introduction
• Fundamentals of Continuum Mechanics
• Integral Formulation of Continuum Problems
• Basic Concepts of Finite Element Methods
• An Overview of Meshless Methods
• Procedures of Meshless Analysis
• Meshless Analysis of Elastostatics
• Meshless Analysis of Elastodynamics
• Meshless Analysis of Nonlocal Continua
• Meshless Analysis of Plasticity
• Appendix A Vector and Tensor
• Appendix B Representations of Isotropic Scalar, Vector and Tensor Functions
• Appendix C Classification of Partial Differential Equations
• Appendix D Summary of the Procedures of Direct Integration Methods
• Appendix E User’s Manual of Meshless Programs
• Bibliography
• Index.