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Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 ECCM14, Budapest 1
Determination of Inter- and Intra-Laminar GIc and GIIc in GFRP Pipes Using an Hybrid Numerical/Experimental Methodology
5th International Conference on Composites Testing and Model Identification14-16 February 2011, Lausanne (EPFL), Switzerland
Hugo Faria Marcelo F. S. F. de Moura
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 2
Porto, Portugal
CompTest2011, Lausanne
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 3
Faculty of Engineering
Faculty of Sport
Faculty of Dental Medicine
Faculty of Economy
INEGI
Faculty of Medicine
Faculty of Psychology
INESC
CompTest2011, Lausanne
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 4
Overview
• Introduction
• Background
• Numerical/Experimental Methodology
• Results
• Conclusions
• Present and Future Work
CompTest2011, Lausanne
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 5
Introduction Context
CompTest2011, Lausanne
Recent projects conducted by INEGI/FEUP related to GFRP Pipes:
• (2000-2005) FP5 Project – “GRP Design & Test”• co-normative project (EN1227; EN1447; EN705; …);• short-, medium- and long-term mechanical tests (<10000h).
• (2003-2006) FCT Project – “Previsão Propriedades Longo Prazo Tubagens PRFV”• material characterization tests;• test data extrapolation methods;• numerical modelling.
• (2004-2005) MSc Thesis – “Failure Behaviour of GFRP Pipes Under Ring Deflection Loading Condition”
• (2008-2010) Real Production Tests• Monitoring and Optimization of the winding of large GFRP pipes
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 6
Introduction Objectives
CompTest2011, Lausanne
The main objectives of this work are:
• correct modelling of the “macroscopic” behaviour of GFRP Pipes up to failure under two loading cases: internal pressure and ring deflection;
• correct modelling of the damage phenomena leading to failure at the meso-scale;
• determination of the physical parameters governing the damage behaviour;
• validation of the ability to develop reallistic models for curved laminates, in view of more complex models and applications.
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 7
Background Typical Loading Cases
CompTest2011, Lausanne
Under-Soil Pipings
EN1226
EN1227
Pressurized Flow Pipings
EN1447
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 8
Background Composite Laminates Damage Modelling
CompTest2011, Lausanne
σ = D δ
σ = ( I – E ) D δ
Cohesive Elements
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 9
Numerical/Experimental Methodology Specimens
CompTest2011, Lausanne
Specifications of the sample pipes used in this study
parameter Internal Pressure / Ring Deflection
nominal diameter (DN) [mm] 300 / 500
nominal ring stiffness (SN) [N/m2] 5000 / 10000
nominal pressure (PN) [bar] 10 / n/a
specimens length (L) [mm] 1300 / 300
average wall thickness [mm] 6.575 / 10.450
type of reinforcement E glass-fibre
type of matrix unsaturated poliester (UP)
elastic-aparent modulus [GPa] 22.5
hoop tensle strength [MPa] 200 / 300
number of layers 5 / 12
construction typecontinuous filament winding + intermediate
deposition of glass-fibre mat
winding angle 90º (hoop)
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 10
Numerical/Experimental Methodology Testing Campaigns
CompTest2011, Lausanne
Internal Pressure Tests
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 11
Numerical/Experimental Methodology Testing Campaigns
CompTest2011, Lausanne
Ring Deflection Tests
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 12
Assumptions
CompTest2011, Lausanne
Numerical/Experimental Methodology
29kg
Assumption: pipes with 90º oriented layers can be properly modelled in 2D
52,5º
90º
3D model – 1 layer ±α
Verification: pipes with 90º oriented layers don’t present edge effects and therefore have longitudinally uniform behaviour
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 13
Assumptions
CompTest2011, Lausanne
Assumption: due to the axissymmetry of the pipe section, it can be modelled through an hal-section
Numerical/Experimental Methodology
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 14
Assumptions
CompTest2011, Lausanne
Assumption: due to the axissymmetry of the pipe section, it can be modelled through an hal-section
Numerical/Experimental Methodology
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 15
2D Models
CompTest2011, Lausanne
Numerical/Experimental Methodology
σ = D δ
σ = ( I – E ) D δ
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 16
2D models
CompTest2011, Lausanne
Numerical/Experimental Methodology
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 17
Results Ring Deflection
CompTest2011, Lausanne
buckling of outer plies
Progression of fibre rupture through the cross charged section
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 18
Results Ring Deflection
CompTest2011, Lausanne
0
5
10
15
20
25
30
0 5 10 15 20 25 30 35 40
Relative Deflection [%]
Rin
g F
orc
e [k
N]
experimental
numerical GIc*/GIc=500
numerical GIc*/GIc=600
numerical GIc*/GIc=700
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 19
Results Internal Pressure
CompTest2011, Lausanne
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 20
Results Internal Pressure
CompTest2011, Lausanne
t
p
2
exp
erim
enta
l fa
ilu
re
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 21
Results Critical Fracture Energies
CompTest2011, Lausanne
0.2 kJ/m2 < GId < 0.3 kJ/m2
0.45 < GId / GIId < 0.50
400 < GIf/GId < 600
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 22
Conclusions
CompTest2011, Lausanne
• FEM models able to simulate quantitatively and qualitatively the behaviour of GFRP pipes up to failure under internal pressure and ring deflection loading were successfully established ;
• the slope of the “macro-curves” P-d and P-σθ is determined by the elastic-apparent modulus, E1, and the thickness, t;
• the “failure initiation” point is determined by GIf , GId e σu;
• the experimental/numerical methodology allows an easier determination of the critical values for the energy release rates of these curved laminates
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 23
Present and Future Work
CompTest2011, Lausanne
• experimental measurement of the stress/strain state for comparison;
• generalization/validation of the methodology in other types of GFRP pipes and laminates;
• generalization/validation of the methodology for other loading cases;
• refine the study in order to reduce the range of admissibility for GIf, and GId;
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 24
Acknowledgments
• Portuguese Foundation for Science and Technology (FCT)
• Growth Programme of FP5 (EC)
• Prof. Rui M. Guedes
CompTest2011, Lausanne
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 25
THANK YOU FOR YOUR ATTENTION
CompTest2011, Lausanne
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 26
Discussion
?
SEAFLOOR
COMET
Hugo [email protected]
ModEFil
CompTest2011, Lausanne
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 27
Numerical Modelling of the Filament Winding Process
Projects Overview
ModEFil
CompTest2011, Lausanne
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 28
Projects Overview
COMETSteel Liner | GF/PP
Domestic Gas Container
OP: 8 bar | TP: 30 bar | BP: > 60 bar
CompTest2011, Lausanne
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 29
Projects Overview
SEAFLOOR
Steel Liner | Biocompatible Internal Layer | CF/Epoxy
Hyperbaric Chamber
OP: 200 bar | TP: 320 bar | BP: > 600 bar
CompTest2011, Lausanne
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 30
Projects Overview
PE Liner | Metallic Ends | GF/UP
Water Tank
OP: 06 bar | TP: 15 bar
RESCOMPRE
CompTest2011, Lausanne
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 31
Projects Overview
Online Structural Health Monitoring (SHM) of Composite Overwrapped Pressure Vessels
(COPV)
SENSEFIL
CompTest2011, Lausanne
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 32
Projects Overview
Numerical Simulation of the Failure Behaviour of GFRP Wound Pipes GFRPSIM
CompTest2011, Lausanne
Determination of Inter- and Intra-Laminar GIIc and GIIc in GRP Pipes…18 April 2023 33
Projects Overview
Cohesive Interface Elements
Numerical Simulation of the Failure Behaviour of GFRP Wound Pipes GFRPSIM
0
5
10
15
20
0 5 10 15 20 25 30 35
Relative Deflection [%]
Rin
g F
orc
e [k
N]
spec_C4
Srup-fibres=200MPa_E1=10.5GPa_GIf/GId=500_t=12mm
Srup-fibres=300MPa_E1=10.5GPa_GIf/GId=10_t=12mm
Srup-fibres=200MPa_E1=10.5GPa_GIf/GId=700_t=12mm
CompTest2011, Lausanne