000 05617nam a22004935i 4500
001 978-0-387-33368-7
003 DE-He213
005 20250710083951.0
007 cr nn 008mamaa
008 100301s2006 xxu| s |||| 0|eng d
020 _a9780387333687
_a99780387333687
024 7 _a10.1007/0-387-33368-1
_2doi
082 0 4 _a530.1
_223
100 1 _aChen, Youping.
_eauthor.
245 1 0 _aMeshless Methods in Solid Mechanics
_h[recurso electrónico] /
_cby Youping Chen, James Lee, Azim Eskandarian.
264 1 _aNew York, NY :
_bSpringer New York,
_c2006.
300 _aXI, 200 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aIntroduction -- 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.
520 _aFinite 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 terms of nodes. There is no need of mesh or elements in this method. It does not posses the mesh related difficulties, eliminates at least part of the FE structure, and provides an approach with more flexibility in the applications in engineering and science. The meshless method started to capture the interest of a broader community of researchers only several years ago, and now it becomes a growing and evolving field. It is showing that this is a very rich area to be explored, and has great promise for many very challenging computational problems. On the one hand, great developments on meshless methods have been achieved. On the other hand, there are many aspects of meshless methods that could be benefit from improvements. A broader community of researchers can bring divergent skills and backgrounds to bear on the task of improving this method. The main objective of this book is to provide a textbook for graduate courses on the computational analysis of continuum and solid mechanics based on meshless (also known as mesh free) methods. It can also be used as a reference book for engineers and scientists who are exploring the physical world through computer simulations. Emphasis of this book is given to the understanding of the physical and mathematical characteristics of the procedures of computational solid mechanics. It naturally brings the essence, advantages and challenging problems of meshless methods into the picture. 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. For the readers who want to gain knowledge through hands-on experience, the meshless programs for elastostatics and elastodynamics are also introduced in the book and included in the disc.
650 0 _aPHYSICS.
650 0 _aENGINEERING MATHEMATICS.
650 0 _aMATERIALS.
650 0 _aMECHANICAL ENGINEERING.
650 1 4 _aPHYSICS.
650 2 4 _aNUMERICAL AND COMPUTATIONAL METHODS.
650 2 4 _aNUMERICAL AND COMPUTATIONAL METHODS IN ENGINEERING.
650 2 4 _aCONTINUUM MECHANICS AND MECHANICS OF MATERIALS.
650 2 4 _aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
650 2 4 _aMECHANICAL ENGINEERING.
650 2 4 _aAUTOMOTIVE AND AEROSPACE ENGINEERING, TRAFFIC.
700 1 _aLee, James.
_eauthor.
700 1 _aEskandarian, Azim.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387307367
856 4 0 _uhttp://dx.doi.org/10.1007/0-387-33368-1
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-PHA
942 _2ddc
_cER
999 _c57263
_d57263