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Crack deflection in multi-layered four-point bending samples

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Abstract

Four-point bending experiments are conceptually the method of choice when investigating the delamination strength of multi-layered components, which are of particular interest for semiconductor applications. However, experimental studies have shown that the crack continues as mode-I crack in most cases while delamination is rarely observed, thus making the four-point bending method useless. This study uses the finite element method with cohesive zones to study crack propagation and the likelihood of turning the initial mode-I crack into a delamination crack in a multi-layered structure. We close with a conclusion which can help to increase the delamination probability and thereby help to determine the delamination strengths of layered structures.

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Notes

  1. The value \(r=1\) is excluded from the domain.

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Acknowledgments

The authors thank Prof. Reinhard Pippan for the very valuable discussions and his insight into fracture mechanics. The work of BV was jointly funded by the Austrian Research Promotion Agency (FFG, Project No. 831163) and the Carinthian Economic Promotion Fund (KWF, contact \(\hbox {KWF-1521}|22741|34186\)). The work of SB has been conducted within the project EPPL, co-funded by grants from Austria, Germany, The Netherlands, France, Italy, Portugal and the ENIAC Joint Undertaking.

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Correspondence to Steffen Brinckmann.

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Brinckmann, S., Völker, B. & Dehm, G. Crack deflection in multi-layered four-point bending samples. Int J Fract 190, 167–176 (2014). https://doi.org/10.1007/s10704-014-9981-1

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