The modified mapping-collocation (MMC) method is applied to analyze a circumferential
crack in an isotropic curved beam. Based on the method a MATLAB code was developed to
obtain the stress field. Incorporating the stress correlation technique, the opening and sliding
fracture mode stress intensity factors (SIF)s of the crack for the beam under pure bending
moment load case are calculated.
The MMC method aims to solve two-dimensional problems of linear elastic fracture mechanics
(LEFM) by combining the power of analytic tools of complex analysis (Muskhelishvili
formulation, conformal mapping, and extension arguments) with simplicity of applying the
boundary collocation method as a numerical solution approach.
Qualitatively, a good agreement between the computed stress contours and the fringe shapes
obtained from the photoelastic experiment on a plexiglass specimen is observed. Quantitatively,
the results are compared with that of ANSYS finite element analysis software. The
effect of crack size, crack position and beam thickness variation on SIF values and mode
mixity is investigated.
| Identifer | oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/12615675/index.pdf |
| Date | 01 March 2013 |
| Creators | Amireghbali, Aydin |
| Contributors | Coker, Demirkan |
| Publisher | METU |
| Source Sets | Middle East Technical Univ. |
| Language | English |
| Detected Language | English |
| Type | M.S. Thesis |
| Format | text/pdf |
| Rights | Access forbidden for 1 year |
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