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PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
Identification of orthotropic elastic properties of wood by a
synthetic image approach based on digital image correlation
J. Henriquesa,*, J. Xavierb, A. Andrade-Camposa
*Corresponding author: joaodiogofh@ua.pt
aTEMA, Department of Mechanical Engineering, University of Aveiro, Campus Universitário de Santiago,
3810-193 Aveiro, Portugal
bUNIDEMI, Department of Mechanical and Industrial Engineering, NOVA School of Science and Technology,
NOVA University Lisbon, 2829-516 Caparica, Portugal
PhotoMechanics – iDICs 2021 conference
Nantes, France, 3-5 November 2021
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
Table of contents
2
Motivation and goals
Experimental tests
Methodology
Results and discussion
Conclusions and future work
1
2
3
4
5
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
Motivation and goals
3
1
Food and Agriculture Organization of the United Nations (FAO))Global demand for wood product
• Engineering materials based on
renewable and recyclable natural
resources are regaining popularity.
Koponen, S..The consequences of wood cellular structure
and rolling-shear in crossbanded veneer composites. (2005)
• Wood is a complex, heterogeneous and hierarchical biological material.
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
4
1
Marcia Argyriades, Metropol Parasol // The World’s Largest Wooden Structure
• The characterization of wood’s properties is critical to reproduce the material behaviour.
Motivation and goals
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
5
1
• Classical mechanical tests with punctual
measurements and simplified assumptions.
▪ Photomechanical approaches involving full-
field measurements coupled to inverse
identification techniques.
Motivation and goals
Optimized experimental images, MatchID: Metrology beyond colors.
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
6
1
Identify the linear elastic orthotropic constitutive
parameters of Pinus Pinaster Ait. using DIC and
FEMU using:
1. A single uniaxial compression test under quasi-
static loading conditions.
2. Using on-axis rectangular specimens oriented on
the radial-tangential plane.
3. And off-axis specimens at an orientation to the
grain of 60° (RT plane).
Motivation and goals
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
Experimental tests
7
2
▪ Pinus pinaster Ait. specimens:
Radial boards were initially cut and air-dried to a moisture
content of 12%.
Clear wood specimens manufactured on the RT
plane with nominal dimensions:
On-axis specimens: 20(R)×10(T)×4(L) mm3
Off-axis specimens: 20(R)×9 (T)×4(L) mm3
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
8
2
Testing
machine
Lightning
Optical system
(camera and lens)
Specimen
• Instron 5848 Microtester machine;
• Cross-head displacement of 0.5
mm/min;
• Load cell of 2 kN.
Compression tests and full-field
measurements:
Experimental tests
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
2D DIC – Optical system
Camera: Baumer Optronic FWX20
Lens: AF Micro-Nikkor 200mm f/4D ED-IF
Image resolution: 1624×1236 px2
Field of view: 21.5×16.5 mm2
Working distance: 721 mm
Image conversion factor: 0.0132 mm/px
Image acquisition rate: 1 Hz
Speckle pattern technique: Airbrush painting
Average speckle size: 2.69 px/0.036 mm | 4 px/0.053 mm
(On-axis | Off-axis)
DIC software: MatchID
9
2 Experimental tests
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
10
2 Experimental tests
DIC – Parametric analysis (On-axis)
Correlation settings of the parametric analysis
Subset size: {9-81 px}, 4 px increment
Step size: {5 px}, fixed
Shape function: {Affine, Quadratic}
Strain window size: {3-27}, 2 point increment
Strain interpolation: {Bilinear (Q4),
Biquadratic (Q8)}
Virtual strain gauge: {23-211 px  0.3-2.79 mm}
Strain convention: {Green-Lagrange}
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
2D DIC settings On-axis specimens Off-axis specimens
Correlation criterion: ZNSSD ZNSSD
Interpolant: Bicubic spline Bicubic spline
Shape function: Quadratic Quadratic
Subset size: 17 px (P1), 21 px (P2), 41 px (P3) 21 px (P1), 25 px (P2), 41 px (P3)
Step Size: 5 px 5 px
Image pre-filtering: Gaussian, 5 px kernel Gaussian, 5 px kernel
Strain window size: 9 px (P1), 13 px (P2), 23 px (P3) 11 px (P1), 15 px (P2), 23 px (P3)
Strain interpolation: Bilinear Q4 Bilinear Q4
Strain convention: Green-Lagrange Green-Lagrange
DIC software: MatchID MatchID
11
2 Experimental tests
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
12
3 Methodology
Finite element model
• Geometry constructed on experimental
images.
• Directly comparing FEA results with the
experimental DIC measurements involves
handling numerous inconsistencies.
Synthetic image generation
Solution
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
13
3 Methodology
Finite element model
• Extrapolated boundary conditions:
- Considering the whole full-field
displacement measurements.
- Smoothed by a fourth-order
polynomial function.
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
3 Methodology
14
Synthetic image generation
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
Measurement points,
Finite element model updating
• Objective function:
• Strain term:
• Force term:
Weigthing Coeffiecient,
3 Methodology
15
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
3 Methodology
16
3
Optimization method:
• Nelder-Mead simplex method.
Weigthing Coeffiecient:
• WF = 10-1.
Initial parameters set:
• Reference Values.
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
4 Results and discussion
17
Method validation
ER ET νRT GRT
Reference parameters 1912 1010 0.586 176
Id. Value 1912 1010 0.586 176
Error (%) 0.000 0.000 0.000 0.000
Id. Value 1911.9 1010 0.586 176
Error (%) 0.005 0.000 0.000 0.000
Units: ER, ET , GRT: MPa
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
VSG ER ET νRT GRT
Reference parameters 1912 1010 0.586 176
0.752 1578.8 823.7 0.783 187.3
1.069 1548.5 981 0.775 122.2
1.993 1492.5 1384.1 0.758 125
0.937 521.5 418.2 0.679 161.7
1.254 741.7 508.2 0.624 163.4
1.993 3041.5 725.4 0.395 162.3
4 Results and discussion
18
Influence of the DIC settings on the identified parameters
Units: ER, ET , GRT: Mpa; VSG: mm
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
4 Results and discussion
19
Experimental and numerical full-field strain maps
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
ER ET νRT GRT
Reference parameters 1912 1010 0.586 176
4 Results and discussion: On-axis specimens
20
Specimen 1 1579 824 0.783 187
Specimen 2 1065 750 0.697 149
Specimen 3 1687 1250 0.698 623
Specimen 4 1725 1138 0.774 158
Specimen 5 1964 971 0.815 280
Specimen 6 1591 818 0.779 349
Specimen 7 1536 1116 0.575 623
Specimen 8 1174 846 0.807 256
Specimen 9 1961 846 0.727 672
Mean 1587 951 0.739 366
Standard deviation 307.7 176.4 0.076 214.4
CV 19.4% 18.6% 10.2% 58.5%
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
ER ET νRT GRT
Reference parameters 1912 1010 0.586 176
4 Results and discussion: Off-axis specimens
21
Specimen 10 522 418 0.679 162
Specimen 11 352 411 0.580 160
Specimen 12 2313 1020 0.327 188
Specimen 13 360 337 0.699 180
Specimen 14 580 349 0.284 169
Specimen 15 1470 601 0.629 160
Specimen 16 531 417 0.742 158
Specimen 17 2398 600 0.740 157
Specimen 18 1012 419 0.661 146
Mean 1060 508 0.593 164
Standard deviation 815.7 214.2 0.171 12.8
CV 77.00% 42.2% 28.9% 7.8%
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
5 Conclusions and future work
22
▪ In future work: a) Using heterogeneous experimental tests.
b) identification of heterogeneous properties of wood.
▪ The proposed identification methodology coupled to synthetic image construction was
successfully validated.
▪ The effect of the DIC parameters set seems to be higher on parameters that are less
sensitive to the experimental configuration used.
▪ Accurate identification of:
1. Three out of four RT linear elastic parameters when using on-axis specimens (ER, ET, νRT).
2. One out of four RT linear elastic when using the off-axis specimens (GRT).
PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos
Thank you!
J. Henriques*, J. Xavier, A. Andrade-Campos
* joaodiogofh@ua.pt
PhotoMechanics – iDICs 2021 conference
Nantes, France, 3-5 November 2021
The authors acknowledge Research Fund for Coal and Steel under grant agreement No 888153. The
authors also gratefully acknowledge Fundação para a Ciência e Tecnologia throughout the projects
PTDC/EME-APL/29713/2017, UID/EMS/00481/2013-FCT and UIDB/00667/2020 (UNIDEMI). J. Henriques
acknowledges Fundação para a Ciência e Tecnologia for the PhD grant 2021.05692.BD.
Acknowledgements

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Identification of orthotropic elastic properties of wood by a synthetic image approach based on digital image correlation

  • 1. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos Identification of orthotropic elastic properties of wood by a synthetic image approach based on digital image correlation J. Henriquesa,*, J. Xavierb, A. Andrade-Camposa *Corresponding author: joaodiogofh@ua.pt aTEMA, Department of Mechanical Engineering, University of Aveiro, Campus Universitário de Santiago, 3810-193 Aveiro, Portugal bUNIDEMI, Department of Mechanical and Industrial Engineering, NOVA School of Science and Technology, NOVA University Lisbon, 2829-516 Caparica, Portugal PhotoMechanics – iDICs 2021 conference Nantes, France, 3-5 November 2021
  • 2. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos Table of contents 2 Motivation and goals Experimental tests Methodology Results and discussion Conclusions and future work 1 2 3 4 5
  • 3. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos Motivation and goals 3 1 Food and Agriculture Organization of the United Nations (FAO))Global demand for wood product • Engineering materials based on renewable and recyclable natural resources are regaining popularity. Koponen, S..The consequences of wood cellular structure and rolling-shear in crossbanded veneer composites. (2005) • Wood is a complex, heterogeneous and hierarchical biological material.
  • 4. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos 4 1 Marcia Argyriades, Metropol Parasol // The World’s Largest Wooden Structure • The characterization of wood’s properties is critical to reproduce the material behaviour. Motivation and goals
  • 5. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos 5 1 • Classical mechanical tests with punctual measurements and simplified assumptions. ▪ Photomechanical approaches involving full- field measurements coupled to inverse identification techniques. Motivation and goals Optimized experimental images, MatchID: Metrology beyond colors.
  • 6. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos 6 1 Identify the linear elastic orthotropic constitutive parameters of Pinus Pinaster Ait. using DIC and FEMU using: 1. A single uniaxial compression test under quasi- static loading conditions. 2. Using on-axis rectangular specimens oriented on the radial-tangential plane. 3. And off-axis specimens at an orientation to the grain of 60° (RT plane). Motivation and goals
  • 7. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos Experimental tests 7 2 ▪ Pinus pinaster Ait. specimens: Radial boards were initially cut and air-dried to a moisture content of 12%. Clear wood specimens manufactured on the RT plane with nominal dimensions: On-axis specimens: 20(R)×10(T)×4(L) mm3 Off-axis specimens: 20(R)×9 (T)×4(L) mm3
  • 8. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos 8 2 Testing machine Lightning Optical system (camera and lens) Specimen • Instron 5848 Microtester machine; • Cross-head displacement of 0.5 mm/min; • Load cell of 2 kN. Compression tests and full-field measurements: Experimental tests
  • 9. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos 2D DIC – Optical system Camera: Baumer Optronic FWX20 Lens: AF Micro-Nikkor 200mm f/4D ED-IF Image resolution: 1624×1236 px2 Field of view: 21.5×16.5 mm2 Working distance: 721 mm Image conversion factor: 0.0132 mm/px Image acquisition rate: 1 Hz Speckle pattern technique: Airbrush painting Average speckle size: 2.69 px/0.036 mm | 4 px/0.053 mm (On-axis | Off-axis) DIC software: MatchID 9 2 Experimental tests
  • 10. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos 10 2 Experimental tests DIC – Parametric analysis (On-axis) Correlation settings of the parametric analysis Subset size: {9-81 px}, 4 px increment Step size: {5 px}, fixed Shape function: {Affine, Quadratic} Strain window size: {3-27}, 2 point increment Strain interpolation: {Bilinear (Q4), Biquadratic (Q8)} Virtual strain gauge: {23-211 px 0.3-2.79 mm} Strain convention: {Green-Lagrange}
  • 11. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos 2D DIC settings On-axis specimens Off-axis specimens Correlation criterion: ZNSSD ZNSSD Interpolant: Bicubic spline Bicubic spline Shape function: Quadratic Quadratic Subset size: 17 px (P1), 21 px (P2), 41 px (P3) 21 px (P1), 25 px (P2), 41 px (P3) Step Size: 5 px 5 px Image pre-filtering: Gaussian, 5 px kernel Gaussian, 5 px kernel Strain window size: 9 px (P1), 13 px (P2), 23 px (P3) 11 px (P1), 15 px (P2), 23 px (P3) Strain interpolation: Bilinear Q4 Bilinear Q4 Strain convention: Green-Lagrange Green-Lagrange DIC software: MatchID MatchID 11 2 Experimental tests
  • 12. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos 12 3 Methodology Finite element model • Geometry constructed on experimental images. • Directly comparing FEA results with the experimental DIC measurements involves handling numerous inconsistencies. Synthetic image generation Solution
  • 13. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos 13 3 Methodology Finite element model • Extrapolated boundary conditions: - Considering the whole full-field displacement measurements. - Smoothed by a fourth-order polynomial function.
  • 14. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos 3 Methodology 14 Synthetic image generation
  • 15. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos Measurement points, Finite element model updating • Objective function: • Strain term: • Force term: Weigthing Coeffiecient, 3 Methodology 15
  • 16. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos 3 Methodology 16 3 Optimization method: • Nelder-Mead simplex method. Weigthing Coeffiecient: • WF = 10-1. Initial parameters set: • Reference Values.
  • 17. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos 4 Results and discussion 17 Method validation ER ET νRT GRT Reference parameters 1912 1010 0.586 176 Id. Value 1912 1010 0.586 176 Error (%) 0.000 0.000 0.000 0.000 Id. Value 1911.9 1010 0.586 176 Error (%) 0.005 0.000 0.000 0.000 Units: ER, ET , GRT: MPa
  • 18. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos VSG ER ET νRT GRT Reference parameters 1912 1010 0.586 176 0.752 1578.8 823.7 0.783 187.3 1.069 1548.5 981 0.775 122.2 1.993 1492.5 1384.1 0.758 125 0.937 521.5 418.2 0.679 161.7 1.254 741.7 508.2 0.624 163.4 1.993 3041.5 725.4 0.395 162.3 4 Results and discussion 18 Influence of the DIC settings on the identified parameters Units: ER, ET , GRT: Mpa; VSG: mm
  • 19. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos 4 Results and discussion 19 Experimental and numerical full-field strain maps
  • 20. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos ER ET νRT GRT Reference parameters 1912 1010 0.586 176 4 Results and discussion: On-axis specimens 20 Specimen 1 1579 824 0.783 187 Specimen 2 1065 750 0.697 149 Specimen 3 1687 1250 0.698 623 Specimen 4 1725 1138 0.774 158 Specimen 5 1964 971 0.815 280 Specimen 6 1591 818 0.779 349 Specimen 7 1536 1116 0.575 623 Specimen 8 1174 846 0.807 256 Specimen 9 1961 846 0.727 672 Mean 1587 951 0.739 366 Standard deviation 307.7 176.4 0.076 214.4 CV 19.4% 18.6% 10.2% 58.5%
  • 21. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos ER ET νRT GRT Reference parameters 1912 1010 0.586 176 4 Results and discussion: Off-axis specimens 21 Specimen 10 522 418 0.679 162 Specimen 11 352 411 0.580 160 Specimen 12 2313 1020 0.327 188 Specimen 13 360 337 0.699 180 Specimen 14 580 349 0.284 169 Specimen 15 1470 601 0.629 160 Specimen 16 531 417 0.742 158 Specimen 17 2398 600 0.740 157 Specimen 18 1012 419 0.661 146 Mean 1060 508 0.593 164 Standard deviation 815.7 214.2 0.171 12.8 CV 77.00% 42.2% 28.9% 7.8%
  • 22. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos 5 Conclusions and future work 22 ▪ In future work: a) Using heterogeneous experimental tests. b) identification of heterogeneous properties of wood. ▪ The proposed identification methodology coupled to synthetic image construction was successfully validated. ▪ The effect of the DIC parameters set seems to be higher on parameters that are less sensitive to the experimental configuration used. ▪ Accurate identification of: 1. Three out of four RT linear elastic parameters when using on-axis specimens (ER, ET, νRT). 2. One out of four RT linear elastic when using the off-axis specimens (GRT).
  • 23. PhotoMechanics – iDICs conference 2021 | Nantes, France, 3-5 November 2021 J. Henriques, J. Xavier, A. Andrade-Campos Thank you! J. Henriques*, J. Xavier, A. Andrade-Campos * joaodiogofh@ua.pt PhotoMechanics – iDICs 2021 conference Nantes, France, 3-5 November 2021 The authors acknowledge Research Fund for Coal and Steel under grant agreement No 888153. The authors also gratefully acknowledge Fundação para a Ciência e Tecnologia throughout the projects PTDC/EME-APL/29713/2017, UID/EMS/00481/2013-FCT and UIDB/00667/2020 (UNIDEMI). J. Henriques acknowledges Fundação para a Ciência e Tecnologia for the PhD grant 2021.05692.BD. Acknowledgements