Meshless Methods in Solid Mechanics. 1st ed. 2006

種類:

電子ブック

責任表示:

by Youping Chen, James Lee, Azim Eskandarian

出版情報:

New York, NY : Springer New York : Imprint: Springer, 2006

著者名:

• Chen, Youping.
• Lee, James.
• Eskandarian, Azim.
• SpringerLink (Online service)

ISBN:

9780387333687 [0387333681]    

注記:

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.
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 extremely large deformations of materials, encountering moving discontinuities such as crack propagation along arbitrary and complex paths, involving considerable meshing and re-meshing in structural optimization problems, or having multidomain of influence in multi-phenomenon physical problems. It is impossible to completely overcome those mesh-related difficulties by a mesh-based method. The highly structured nature of finite element approximations imposes severe penalties in the solutions of those problems. Distinguishing with finite element, finite difference and finite volume methods, meshless method discretizes the continuum body only with a set of nodal points and the approximation is constructed entirely in t

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