June Free Chapter - The Tools by Phil Stutz and Barry Michels
Samuel Stutz Joël Cugnoni John Botsis
description
Transcript of Samuel Stutz Joël Cugnoni John Botsis
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5th International Conference on Composites Testing and Model Simulation
Experimental and numerical characterization of modes I
& II delamination in unidirectional composites
Samuel StutzJoël Cugnoni John Botsis
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LMAF-STI, Ecole Polytechnique Fédérale de Lausanne (EPFL), CH-1015 Lausanne Switzerland
E-mail: [email protected]
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5th International Conference on Composites Testing and Model Simulation
Increasing use of composites Layered structure Delamination Characterization of propagation
Introduction
Introduction Method Results & Discussion Conclusion
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5th International Conference on Composites Testing and Model Simulation
Approach: Measuring strain with optical
fibre sensors during crack propagation
Identify relevant properties with a parametric FE-model
Comparing the numerical and experimental load-displacement curve
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Introduction
Introduction Method Results & Discussion Conclusion
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5th International Conference on Composites Testing and Model Simulation
Method◦ Manufacturing◦ Multiplexed Fiber Bragg grating (FBG) sensors◦ Distributed strain measurements
Results & Discussion◦ Mode I (DCB) tests◦ Mode II (4ENF) tests
Conclusion
Outline
Introduction Method Results & Discussion Conclusion
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5th International Conference on Composites Testing and Model Simulation
Prepregs from Gurit SPTM (SE 70) [020]
Manufacturing
Introduction Method Results & Discussion Conclusion
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Sensor fibre
Crack
Crack initiator
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5th International Conference on Composites Testing and Model Simulation
Optical fibre sensor (FBG)
Introduction Method Results & Discussion Conclusion
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l=2nL
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5th International Conference on Composites Testing and Model Simulation
Optical fibre sensor (FBG)
Introduction Method Results & Discussion Conclusion
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5th International Conference on Composites Testing and Model Simulation
Optical fibre sensor (FBG)
Introduction Method Results & Discussion Conclusion
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Multiplexed sensor array
Introduction Method Results & Discussion Conclusion
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5th International Conference on Composites Testing and Model Simulation
Multiplexed sensor array
Introduction Method Results & Discussion Conclusion
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5th International Conference on Composites Testing and Model Simulation
No strain at the FBG positions
Strain ahead of the crack tip reaches the FBGs
All FBGs are in the bridging zone
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Strain sensors during test
Introduction Method Results & Discussion Conclusion
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5th International Conference on Composites Testing and Model Simulation
No strain at the FBG positions
Strain ahead of the crack tip reaches the FBGs
All FBGs are in the bridging zone
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Strain sensors during test
Introduction Method Results & Discussion Conclusion
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5th International Conference on Composites Testing and Model Simulation
No strain at the FBG positions
Strain ahead of the crack tip reaches the FBGs
All FBGs are in the bridging zone
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Strain sensors during test
Introduction Method Results & Discussion Conclusion
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5th International Conference on Composites Testing and Model Simulation
Wavelength shift versus time
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Strain measurements mode I
Introduction Method Results & Discussion Conclusion
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5th International Conference on Composites Testing and Model Simulation
Wavelength shift versus time
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Strain measurements mode I
Introduction Method Results & Discussion Conclusion
Strain versus crack length
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5th International Conference on Composites Testing and Model Simulation
Wavelength shift versus time
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Strain measurements mode I
Introduction Method Results & Discussion Conclusion
Strain versus crack length
Using crack length versus time measurements to eliminate time
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Identification of bridging tractions
Introduction Method Results & Discussion Conclusion
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Identification of bridging tractions
Introduction Method Results & Discussion Conclusion
Algorithms:
Trust-region-reflective
Levenberg-Marquardt
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Identification of bridging tractions
Introduction Method Results & Discussion Conclusion
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Cohesive zone element model
Introduction Method Results & Discussion Conclusion
Crack opening as a function of the distance from the crack tip (from simulation)d(z*)
and the identified bridging traction distributions(z*)
were combined to obtain the bridging laws(d)
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5th International Conference on Composites Testing and Model Simulation
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Cohesive zone element model
Introduction Method Results & Discussion Conclusion
Cohesive element properties:Thickness : 20 mmDamage initiation : 20 MPaCohesive stiffness : 9000GPa/mm
G(a) = Gi + Gb(a)
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5th International Conference on Composites Testing and Model Simulation
Experimental load-displacement curve
Two initial crack lengths, 30 and 60 mm
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Load-displacement curve
Introduction Method Results & Discussion Conclusion
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5th International Conference on Composites Testing and Model Simulation
Simulated load - displacement curve
No bridging in the cohesive law
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Load-displacement curve
Introduction Method Results & Discussion Conclusion
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5th International Conference on Composites Testing and Model Simulation
Simulated load - displacement curve
With bridging in the cohesive law
Energy release rate of the bridging fibres: 350 J/m2
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Load-displacement curve
Introduction Method Results & Discussion Conclusion
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Mode II test (4ENF)
Introduction Method Results & Discussion Conclusion
Fibre end
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Strain measurements mode II
Introduction Method Results & Discussion Conclusion
Using crack length versus time measurements to eliminate time
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Identification of GII and friction
Introduction Method Results & Discussion Conclusion
Identified energy release rate (cohesive elements) GII =1070 J/m2
Identified crack initiation: smax = 38.7 MPa
Identified friction between the loading pins and the sample: m =0.35
There was no sensitivity to friction between the fracture surfaces (m=0.1 – 0.4)
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5th International Conference on Composites Testing and Model Simulation
Experimental load-displacement curves
The different slopes are due to different initial crack lengths
Some unstable crack propagation
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Load-displacement curve
Introduction Method Results & Discussion Conclusion
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5th International Conference on Composites Testing and Model Simulation
Results from the numerical simulation
Cohesive elements with the identified properties
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Load-displacement curve
Introduction Method Results & Discussion Conclusion
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5th International Conference on Composites Testing and Model Simulation
The multiplexed FBG sensor array proved to be an excellent embedded sensor to measure non-homogeneous strain in mode I and mode II delamination
The measured strain distribution was successfully used for identification of material parameterso Bridging tractions in mode I o The energy release rate in mode II
The experimental load displacement curves were entirely reproduced
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Conclusions
Introduction Method Results & Discussion Conclusion
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5th International Conference on Composites Testing and Model Simulation
The authors acknowledge the financial support from the Swiss National Science Foundation (SNF) under Grant 200020_124397.
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Acknowledgements
Introduction Method Results & Discussion Conclusion
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Different friction coefficients between loading pin and composite
Introduction Method Results & Discussion Conclusion
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Different friction coefficients between fracture surfaces
Introduction Method Results & Discussion Conclusion