NDLI: Spiral weight for modeling cracks in meshless numerical methods

Content Provider	Springer Nature Link
Author	Muravin, Boris Turkel, Eli
Copyright Year	2005
Abstract	In the last decade several different approaches have been developed to study arbitrary static and dynamic cracks. Among these methods meshless techniques play an important role. These methods provide an accurate solution of a wide range of fracture mechanics problems while traditional methods such as finite element and boundary element have limitations. We wish to increase the accuracy of the meshless approximations without increasing the nodal density. This is done by an appropriate modification of the weight function near crack tips. Earlier attempts still had limitations that result in a lack of accuracy, especially in the case when a linear basis is used. In this work a new technique, the spiral weight, is introduced that minimizes the drawbacks of existing methods. Numerical examples show that the spiral weight method is more efficient than existing methods, when using a linear basis, for the solution of crack problems.
Starting Page	101
Ending Page	111
Page Count	11
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	38
Issue Number	2
e-ISSN	14320924
Language	English
Publisher	Springer-Verlag
Publisher Date	2005-08-10
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Meshless methods Spiral weight Crack Thermodynamics Condensed Matter Numerical and Computational Methods in Engineering Systems and Information Theory in Engineering Theoretical and Applied Mechanics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Ocean Engineering Computational Theory and Mathematics Mechanical Engineering Computational Mechanics Computational Mathematics

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