# Heart-shaped crack-tip zones - Effect of the zone length

Schell, K.G.; Bucharsky, C.; Rizzi, G.; Fett, T.

##### Abstract:
In this report the general influence of different elastic modules ahead of a crack tip and in the bulk on the stress intensity factors will be discussed again. From the FE results obtained in Report [1], and the theoretical solution by Merkle [3] K = K$_{appl}$$\sqrt{\frac{E}{E_{0}}} it becomes clear that the FE-results for relative zone sizes \omega/a >0 must deviate from the exact solution but are also in rather good agreement with the theoretic results for finite \omega/a. In this report also results are compiled for cracks fully embedded in zones with reduced module. Such cracks show stress intensity factors completely different from a \sqrt{ E/E_{0}} -dependency. Nevertheless, it can be concluded that the stress intensity factors on the basis of the J-integral agree with those obtained by COD evaluation. As an approximate description of the observed E/E_{0}-dependency we suggest \frac{K}{K_{appl}} \cong$$\frac{2E}{E+E_{0}}$

 Zugehörige Institution(en) am KIT Institut für Angewandte Materialien - Keramische Werkstoffe und Technologien (IAM-KWT)Institut für Angewandte Materialien - Werkstoff- und Biomechanik (IAM-WBM) Publikationstyp Forschungsbericht/Preprint Publikationsjahr 2020 Sprache Deutsch Identifikator ISSN: 2194-1629 KITopen-ID: 1000122362 Verlag Karlsruher Institut für Technologie (KIT) Umfang VI, 9 S. Serie KIT Scientific Working Papers ; 148
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