Abstract
Previous numerical work on crack tunnelling and plane-strain delamination in layered solids is evaluated with static and fatigue experiments and analysis. It is concluded that the translation of the theory derived for static fracture to fatigue loading is not as straightforward as initially assumed. Details such as delamination location, stress state, plasticity and mode-mixity need further consideration to obtain a theory that is sufficiently adequate to describe the static and fatigue phenomena observed in practice.
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Abbreviations
- a:
-
Tunnelling crack length [mm]
- as :
-
Starter notch (sawcut) length of tunnelling crack [mm]
- b:
-
Delamination length [mm]
- db/dN:
-
Delamination growth rate [mm/cycle]
- Eal :
-
Young’s modulus of aluminium [MPa]
- Ef,0 :
-
Young’s modulus of 0° fibre layers [MPa]
- Ef,90 :
-
Young’s modulus of 90° fibre layers [MPa]
- Gd :
-
Strain energy release rate for delamination [MPa mm]
- Gdc :
-
Critical strain energy release rate for delamination [MPa mm]
- GI :
-
Mode I strain energy release rate for tunnelling crack [MPa mm]
- GIc :
-
Critical mode I strain energy release rate for tunnelling crack [MPa mm]
- Kd :
-
Stress intensity factor for delamination [MPa mm]
- KI :
-
Mode I stress intensity factor for tunnelling crack [MPa mm]
- N:
-
Number of cycles [−]
- nal :
-
Number of aluminium layers [−]
- ncr :
-
Number of cracked aluminium layers [−]
- nf,0 :
-
Number of 0° fibre layers [−]
- nf,90 :
-
number of 90° fibre layers [−]
- P:
-
Force [N]
- tal :
-
Thickness of single aluminium layer [mm]
- tf,0 :
-
Thickness of single 0° fibre layer [mm]
- tf,90 :
-
Thickness of single 90° fibre layer [mm]
- tlam :
-
Total laminate thickness [mm]
- Slam :
-
Gross laminate stress [MPa]
- vbr :
-
Crack closing contribution due to intact fibres [mm]
- vff :
-
Crack opening due to far field stresses [mm]
- δ f :
-
Elongation of fibres due to tensile fibre stresses [mm]
- δ pp :
-
Elongation component related to shear deformation [mm]
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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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Alderliesten, R.C. On crack tunneling and plane-strain delamination in laminates. Int J Fract 148, 401–414 (2007). https://doi.org/10.1007/s10704-008-9212-8
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DOI: https://doi.org/10.1007/s10704-008-9212-8