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Boundary element crack closure calculation of three-dimensional stress intensity factors

โœ Scribed by T. N. Farris; M. Liu


Publisher
Springer Netherlands
Year
1993
Tongue
English
Weight
798 KB
Volume
60
Category
Article
ISSN
1573-2673

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โœฆ Synopsis


A general method for boundary element-crack closure integral calculation of three-dimensional stress intensity factors is presented. An equation for the strain energy release rate in terms of products of nodal values of tractions and displacements is obtained. Embedded and surface cracks of modes I, II, and III are analyzed using the proposed method. The multidomain boundary element technique is introduced so that the crack surface geometry is correctly modeled and the unsymmetrical boundary conditions for mode's II and Ill crack analysis are handled conveniently. Conventional quadrilateral elements are sufficient for this method and the selection of the size of the crack front elements is independent of the crack mode and geometry. For all of the examples demonstrated in this paper, 54 boundary elements are used, and the most suitable ratio of the width of the crack front elements to the crack depth is 1/10 and the calculation error is kept within + 1.5 percent. Compared to existing analytical and finite element solutions the boundary element-crack closure integral method is very efficient and accurate and it can be easily applied to general three-dimensional crack problems.


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โœ S.K. Maiti ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 703 KB

A&met-The paper deals with the &rite element computation of the crack closure integrals (CCIs) and the stress intensity factors (SIFs) under mechanical and/or thermal loadings, which give rise to forces at nodes close to a crack tip region. Four examples are presented to illustrate the usefulness of