Premium
Multiple crack weight for solution of multiple interacting cracks by meshless numerical methods
Author(s) -
Muravin Boris,
Turkel Eli
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1661
Subject(s) - regularized meshless method , convergence (economics) , numerical analysis , domain (mathematical analysis) , meshfree methods , mathematics , weight function , computer science , mathematical optimization , singular boundary method , structural engineering , algorithm , mathematical analysis , engineering , finite element method , boundary element method , economics , economic growth
We devise a multiple crack weight (MCW) method for the accurate and effective solution of strongly interacting cracks by meshless numerical methods. The MCW method constructs weight functions around cracks so that they simultaneously characterize all the cracks present in the single nodal domain of influence. This approach reduces the number of nodes necessary to achieve sufficient accuracy and consequently it decreases the computational effort. Numerical examples demonstrate that the method allows an accurate solution of multiple cracks problems. Convergence of the method is analysed and discussed. Copyright © 2006 John Wiley & Sons, Ltd.