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Titlebook: Meshless Methods in Solid Mechanics; Youping Chen,James Lee,Azim Eskandarian Textbook 2006 Springer-Verlag New York 2006 Analysis.Potentia

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书目名称Meshless Methods in Solid Mechanics
编辑Youping Chen,James Lee,Azim Eskandarian
视频video
概述An essential source and reference for understanding meshless methods and the procedures for implementing the techniques to solve real engineering problems.Provides a textbook for graduate students, re
图书封面Titlebook: Meshless Methods in Solid Mechanics;  Youping Chen,James Lee,Azim Eskandarian Textbook 2006 Springer-Verlag New York 2006 Analysis.Potentia
描述Finiteelementmethodhasbeenthedominanttechniqueincomputationalmech- icsinthepastdecades,andithasmadesigni?cantcontributionstothedevelopments in engineering and science. Nevertheless, FEM is not well suited to problems h- ing severe mesh distortion owing to extremely large deformations of materials, encountering moving discontinuities such as crack propagation along arbitrary and complex paths, involving considerable meshings and remeshings in structural optimization problems, or having multidomain of in?uence in multiphenomena physical problems. It is impossible to completely overcome those mesh-related dif?culties by a mesh-based method. The highly structured nature of ?nite e- ment approximations imposes severe penalties in seeking the solutions of those problems. Distinguishing with ?nite element, ?nite difference, and ?nite volume methods, meshless method discretizes the continuum body only with a set of nodal points andtheapproximationisconstructedentirelyintermsofnodes.Thereisnoneedof mesh or elements in this method. It does not possess the mesh-related dif?culties and provides an approach with more ?exibility in the applications in engineering and science. The meshless method
出版日期Textbook 2006
关键词Analysis; Potential; Quad; algorithm; algorithms; computer simulation; construction; kinematics; mechanics; m
版次1
doihttps://doi.org/10.1007/0-387-33368-1
isbn_softcover978-1-4419-2148-2
isbn_ebook978-0-387-33368-7
copyrightSpringer-Verlag New York 2006
The information of publication is updating

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Procedures of Meshless Methods,This chapter presents the procedures of meshless methods. A good understanding of the procedures of meshless methods would enrich our confidence in using and further developing meshless methods. For this purpose, certain procedures are described and discussed in detail.
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An Overview on Meshless Methods and Their Applications,sical phenomena without boundaries, such as exploding stars and dust clouds. Extensive developments have been made in several varieties since then and with many different names: SPH [., ., .], generalized finite difference method [.], diffuse element method [.], particle in cell method [.], wavelet
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Meshless Analysis of Elastic Problems,ckly” once the external forces are removed (i.e., the solid returns to its initial state). In the elastic region, the deformations are directly proportional to the external forces, i.e., the mechanical strain tensor is a linear function of stress tensor. The . behavior of materials is a type of time
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Meshless Analysis of Plasticity,odynamics. No restrictive assumption has been made to the magnitude of any independent constitutive variables. Special attention is given to the notions of irreversibility and plastic dissipation. The fundamental concept of return mapping algorithm in computational plasticity is introduced. The spec
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