Transcript Determination of Inter- and Intra

5th International Conference
on Composites Testing and
Model Identification
14-16 February 2011, Lausanne (EPFL), Switzerland
Determination of Inter- and Intra-Laminar GIc
and GIIc in GFRP Pipes Using an Hybrid
Numerical/Experimental Methodology
Hugo Faria
17 July 2015
ECCM14, Budapest
Marcelo F. S. F. de Moura
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Porto, Portugal
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Faculty of Dental
Medicine
Faculty of Psychology
Faculty of Sport
Faculty of
Medicine
Faculty of
Economy
INESC
Faculty of
Engineering
INEGI
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Overview
• Introduction
• Background
• Numerical/Experimental Methodology
• Results
• Conclusions
• Present and Future Work
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Introduction
Context
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
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Introduction
Objectives
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.
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Background
Typical Loading Cases
Under-Soil Pipings
EN1226
EN1227
Pressurized Flow Pipings
EN1447
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Background
Composite Laminates Damage Modelling
Cohesive Elements
σ=Dδ
σ=(I–E)Dδ
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Numerical/Experimental Methodology
Specimens
Specifications of the sample pipes used in this study
parameter
nominal diameter (DN) [mm]
nominal ring stiffness (SN) [N/m2]
Internal Pressure / Ring Deflection
300 / 500
5000 / 10000
nominal pressure (PN) [bar]
10 / n/a
specimens length (L) [mm]
1300 / 300
average wall thickness [mm]
type of reinforcement
type of matrix
elastic-aparent modulus [GPa]
hoop tensle strength [MPa]
6.575 / 10.450
E glass-fibre
unsaturated poliester (UP)
22.5
200 / 300
number of layers
5 / 12
construction type
continuous filament winding + intermediate
deposition of glass-fibre mat
winding angle
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90º (hoop)
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Numerical/Experimental Methodology
Testing Campaigns
Internal Pressure Tests
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Numerical/Experimental Methodology
Testing Campaigns
Ring Deflection Tests
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Numerical/Experimental Methodology
Assumptions
3D model – 1 layer ±α
52,5º
Verification: pipes with 90º oriented layers
don’t present edge effects and therefore
have longitudinally uniform behaviour
90º
Assumption: pipes with 90º oriented layers can
be properly modelled in 2D
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Numerical/Experimental Methodology
Assumptions
Assumption: due to the axissymmetry of the pipe section, it can be modelled
through an hal-section
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Numerical/Experimental Methodology
Assumptions
Assumption: due to the axissymmetry of the pipe section, it can be modelled
through an hal-section
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Numerical/Experimental Methodology
2D Models
σ=Dδ
σ=(I–E)Dδ
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Numerical/Experimental Methodology
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2D models
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Results
Ring Deflection
buckling of outer plies
Progression of fibre rupture through the cross charged section
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sfibras=100-400 + experimentais
Results
Ring Deflection
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experimental
numerical GIc*/GIc=500
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numerical GIc*/GIc=600
Ring Force [kN]
20
numerical GIc*/GIc=700
15
10
5
0
0
5
10
15
20
25
30
35
40
Relative Deflection [%]
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Results
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Internal Pressure
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Results
p
 
2t
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experimental failure
Internal Pressure
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Results
Critical Fracture Energies
0.2 kJ/m2 < GId < 0.3 kJ/m2
0.45 < GId / GIId < 0.50
400 < GIf/GId < 600
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Conclusions
• 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 elasticapparent 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
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Present and Future Work
• 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;
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Acknowledgments
• Portuguese Foundation for Science and Technology (FCT)
• Growth Programme of FP5 (EC)
• Prof. Rui M. Guedes
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THANK YOU FOR YOUR ATTENTION
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Discussion
?
Hugo Faria
[email protected]
COMET
ModEFil
SEAFLOOR
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Projects Overview
ModEFil
Numerical Modelling of the
Filament Winding Process
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Projects Overview
Domestic Gas Container
OP: 8 bar | TP: 30 bar | BP: > 60 bar
COMET
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Steel Liner | GF/PP
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Projects Overview
Hyperbaric Chamber
OP: 200 bar | TP: 320 bar | BP: > 600 bar
Steel Liner | Biocompatible Internal Layer | CF/Epoxy
SEAFLOOR
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Projects Overview
Water Tank
OP: 06 bar | TP: 15 bar
RESCOMPRE
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PE Liner | Metallic Ends | GF/UP
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Projects Overview
SENSEFIL
Online Structural Health
Monitoring (SHM) of Composite
Overwrapped Pressure Vessels
(COPV)
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Projects Overview
Numerical Simulation of the Failure
Behaviour of GFRP Wound Pipes
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GFRPSIM
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Projects Overview
Numerical
Simulation of the Failure
sfibras=100-400 + experimentais
Behaviour of GFRP Wound Pipes
GFRPSIM
Ring Force [kN]
20
15
10
spec_C4
Srup-fibres=200MPa_E1=10.5GPa_GIf/GId=500_t=12mm
5
Srup-fibres=300MPa_E1=10.5GPa_GIf/GId=10_t=12mm
Srup-fibres=200MPa_E1=10.5GPa_GIf/GId=700_t=12mm
0
0
5
10
15
20
25
30
35
Relative Deflection [%]
Cohesive Interface Elements
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Projects Overview
THINCO
GF/UP | Thickness: < 250 µm
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