NDLI: A G2 constant displacement discontinuity element for analysis of crack problems

Content Provider	Springer Nature Link
Author	Exadaktylos, George Xiroudakis, George
Copyright Year	2009
Abstract	A new constant displacement discontinuity (CDD) element is presented for the numerical solution of Mode I, II and III crack problems, based on the strain-gradient elasticity theory in its simplest possible Grade-2 (second gradient of strain or G2 theory) variant. The accuracy of the proposed new element is demonstrated herein in a first attempt only for isolated straight cracks or for co-linear straight cracks for which closed form solutions exist. It is shown that the results based on this new element are in good agreement with the exact solutions. Moreover, the new method preserves the simplicity and hence the high speed of the CDD method originally proposed by Crouch with only one collocation point per element for plane crack problems, but it is far more efficient compared to it, especially close to the crack tips where the displacement and stress gradients are highest.
Starting Page	245
Ending Page	261
Page Count	17
File Format	PDF
ISSN	01787675
Journal	Computational Mechanics
Volume Number	45
Issue Number	4
e-ISSN	14320924
Language	English
Publisher	Springer-Verlag
Publisher Date	2009-11-17
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Displacement discontinuity Strain-gradient elasticity Crack problems Stress intensity factors Classical Continuum Physics Computational Science and 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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