Abstract
A phantom node method with mixed mode cohesive law is proposed for the simulation of splitting in laminates. With this method, a discontinuity in the displacement field can be modeled at arbitrary locations. The micromechanical phenomenon that splitting cracks grow parallel to the fiber, is incorporated on the mesolevel, i.e., in the homogenized ply, by setting the direction of the crack propagation equal to the fiber direction. A new mixed mode cohesive law is introduced for increased robustness of the incremental-iterative solution procedure. The model is validated with mixed mode bending tests, and its utility is illustrated with examples for a single ply and for a laminate.
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Acknowledgements
This research is supported by the Technology Foundation STW (under Grant DCB.6623) and the Ministry of Public Works and Water Management, The Netherlands.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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van der Meer, F.P., Sluys, L.J. A phantom node formulation with mixed mode cohesive law for splitting in laminates. Int J Fract 158, 107–124 (2009). https://doi.org/10.1007/s10704-009-9344-5
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DOI: https://doi.org/10.1007/s10704-009-9344-5