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A special bending crack tip finite element

โœ Scribed by C. P. Jiang; Y. K. Cheung


Book ID
104615297
Publisher
Springer Netherlands
Year
1995
Tongue
English
Weight
470 KB
Volume
71
Category
Article
ISSN
1573-2673

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โœฆ Synopsis


The general expression of the Williams expansion around a bending crack tip is presented. Based on this a special circular bending crack tip finite element of an arbitrary high order is developed, and the element stiffness matrix is explicitly given, which is especially convenient for engineering analyses. Numerical examples are presented and compared with previous results to demonstrate the efficiency and accuracy of the special element.


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## A B S T R A C T A special finite element for plane analysis of elastic structures with through the thickness cracks is presented. Generalized displacements are used in developing the element, and it contains the proper singularities. The opening (K0, in plane shearing (Kll), and combined (K l +

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