Investigation of crack segmentation and fast evaluation of crack propagation, based on deep learning
Than V. TRAN1, H. NGUYEN-XUAN2(), Xiaoying ZHUANG1,3()
1. Institute of Photonics, Leibniz University Hannover, Hannover 30167, Germany 2. CIRTech Institute, HUTECH University, Ho Chi Minh City 700000, Vietnam 3. College of Civil Engineering, Tongji University, Shanghai 200092, China
Identifying crack and predicting crack propagation are critical processes for the risk assessment of engineering structures. Most traditional approaches to crack modeling are faced with issues of high computational costs and excessive computing time. To address this issue, we explore the potential of deep learning (DL) to increase the efficiency of crack detection and forecasting crack growth. However, there is no single algorithm that can fit all data sets well or can apply in all cases since specific tasks vary. In the paper, we present DL models for identifying cracks, especially on concrete surface images, and for predicting crack propagation. Firstly, SegNet and U-Net networks are used to identify concrete cracks. Stochastic gradient descent (SGD) and adaptive moment estimation (Adam) algorithms are applied to minimize loss function during iterations. Secondly, time series algorithms including gated recurrent unit (GRU) and long short-term memory (LSTM) are used to predict crack propagation. The experimental findings indicate that the U-Net is more robust and efficient than the SegNet for identifying crack segmentation and achieves the most outstanding results. For evaluation of crack propagation, GRU and LSTM are used as DL models and results show good agreement with the experimental data.
Corresponding Author(s):
H. NGUYEN-XUAN,Xiaoying ZHUANG
引用本文:
. [J]. Frontiers of Structural and Civil Engineering, 2024, 18(4): 516-535.
Than V. TRAN, H. NGUYEN-XUAN, Xiaoying ZHUANG. Investigation of crack segmentation and fast evaluation of crack propagation, based on deep learning. Front. Struct. Civ. Eng., 2024, 18(4): 516-535.
60 mm × 50 mm × 12.5 mm (length × width × thickness)
–
–
initial crack length
15 mm
–
–
loading type
tension-tension, constant amplitude
–
–
Tab.5
Fig.22
Model
MAE
MSE
RMSE
R2
GRU
0.7636
0.7119
0.8437
0.9588
LSTM
0.9012
1.3454
1.1599
0.9221
Tab.6
Fig.23
Fig.24
Fig.25
Model
MAE
MSE
RMSE
R2
GRU
0.0435
0.0020
0.0449
0.9823
LSTM
0.0920
0.0086
0.0926
0.9247
Tab.7
Fig.26
1
J Lemaitre. A Course on Damage Mechanics. Berlin: Springer Science & Business Media, 2012
2
B A Graybeal, B M Phares, D D Rolander, M Moore, G Washer. Visual inspection of highway bridges. Journal of Nondestructive Evaluation, 2002, 21(3): 67–83 https://doi.org/10.1023/A:1022508121821
3
E N Chatzi, B Hiriyur, H Waisman, A W Smyth. Experimental application and enhancement of the XFEM–GA algorithm for the detection of flaws in structures. Computers & Structures, 2011, 89(7−8): 556–570 https://doi.org/10.1016/j.compstruc.2010.12.014
4
N Vu-Bac, H Nguyen-Xuan, L Chen, S Bordas, P Kerfriden, R Simpson, G Liu, T Rabczuk. A node-based smoothed extended finite element method (NS-XFEM) for fracture analysis. Computer Modeling in Engineering & Sciences, 2011, 73: 331–356
5
Q Zou, Y Cao, Q Li, Q Mao, S Wang. Cracktree: Automatic crack detection from pavement images. Pattern Recognition Letters, 2012, 33(3): 227–238 https://doi.org/10.1016/j.patrec.2011.11.004
6
J B Butcher, C Day, J Austin, P Haycock, D Verstraeten, B Schrauwen. Defect detection in reinforced concrete using random neural architectures. Computer-Aided Civil and Infrastructure Engineering, 2014, 29(3): 191–207 https://doi.org/10.1111/mice.12039
7
K Yagi, S Tanaka, T Kawahara, K Nihei, H Okada, N Osawa. Evaluation of crack propagation behaviors in a T-shaped tubular joint employing tetrahedral FE modeling. International Journal of Fatigue, 2017, 96: 270–282 https://doi.org/10.1016/j.ijfatigue.2016.11.028
8
V M Nguyen-Thanh, X Zhuang, H Nguyen-Xuan, T Rabczuk, P Wriggers. A virtual element method for 2D linear elastic fracture analysis. Computer Methods in Applied Mechanics and Engineering, 2018, 340: 366–395 https://doi.org/10.1016/j.cma.2018.05.021
9
Q Wang, B Ji, Z Fu, Z Ye. Evaluation of crack propagation and fatigue strength of rib-to-deck welds based on effective notch stress method. Construction & Building Materials, 2019, 201: 51–61 https://doi.org/10.1016/j.conbuildmat.2018.12.015
10
T Rabczuk, T Belytschko. Cracking particles: A simplified meshfree method for arbitrary evolving cracks. International Journal for Numerical Methods in Engineering, 2004, 61(13): 2316–2343 https://doi.org/10.1002/nme.1151
11
T Rabczuk, T Belytschko. A three-dimensional large deformation meshfree method for arbitrary evolving cracks. Computer Methods in Applied Mechanics and Engineering, 2007, 196(29−30): 2777–2799 https://doi.org/10.1016/j.cma.2006.06.020
12
H Oliveira, P L Correia. Automatic road crack detection and characterization. IEEE Transactions on Intelligent Transportation Systems, 2013, 14(1): 155–168 https://doi.org/10.1109/TITS.2012.2208630
13
N Vu-Bac, H Nguyen-Xuan, L Chen, C K Lee, G Zi, X Zhuang, G R Liu, T Rabczuk. A phantom-node method with edge-based strain smoothing for linear elastic fracture mechanics. Journal of Applied Mathematics, 2013, 2013: 978026 https://doi.org/10.1155/2013/978026
14
R Adhikari, O Moselhi, A Bagchi. Image-based retrieval of concrete crack properties for bridge inspection. Automation in Construction, 2014, 39: 180–194 https://doi.org/10.1016/j.autcon.2013.06.011
15
Y Shi, L Cui, Z Qi, F Meng, Z Chen. Automatic road crack detection using random structured forests. IEEE Transactions on Intelligent Transportation Systems, 2016, 17(12): 3434–3445 https://doi.org/10.1109/TITS.2016.2552248
16
H L Minh, T Sang-To, M Abdel Wahab, T Cuong-Le. A new metaheuristic optimization based on K-means clustering algorithm and its application for structural damage identification. Knowledge-Based Systems, 2022, 251: 109189 https://doi.org/10.1016/j.knosys.2022.109189
17
T T Ho, T Kim, W J Kim, C H Lee, K J Chae, S H Bak, S O Kwon, G Y Jin, E K Park, S Choi. A 3D-CNN model with CT-based parametric response mapping for classifying COPD subjects. Scientific Reports, 2021, 11(1): 34 https://doi.org/10.1038/s41598-020-79336-5
18
S S ParkV T TranN P DoanK B Hwang. Evaluation of damage level for ground settlement using the convolutional neural network. In: Proceedings of CIGOS 2021, Emerging Technologies and Applications for Green Infrastructure. Singapore: Springer Singapore, 2022, 1261–1268
19
T T Ho, G T Kim, T Kim, S Choi, E K Park. Classification of rotator cuff tears in ultrasound images using deep learning models. Medical & Biological Engineering & Computing, 2022, 60(5): 1269 https://doi.org/10.1007/s11517-022-02502-6
20
P D Ogunjinmi, S S Park, B Kim, D E Lee. Rapid post-earthquake structural damage assessment using convolutional neural networks and transfer learning. Sensors, 2022, 22(9): 3471 https://doi.org/10.3390/s22093471
21
H M JeonV D NguyenJ W Jeon. Pedestrian detection based on deep learning. In: Proceedings of IECON 2019—45th Annual Conference of the IEEE Industrial Electronics Society. New York: IEEE, 2019, 144–151
22
V Quang Dinh, F Munir, S Azam, K C Yow, M Jeon. Transfer learning for vehicle detection using two cameras with different focal lengths. Information Sciences, 2020, 514: 71–87 https://doi.org/10.1016/j.ins.2019.11.034
23
S S Park, V T Tran, D E Lee. Application of various yolo models for computer vision-based real-time pothole detection. Applied Sciences, 2021, 11(23): 11229 https://doi.org/10.3390/app112311229
24
G Wang, W Li, M A Zuluaga, R Pratt, P A Patel, M Aertsen, T Doel, A L David, J Deprest, S Ourselin, T Vercauteren. Interactive medical image segmentation using deep learning with image-specific fine tuning. IEEE Transactions on Medical Imaging, 2018, 37(7): 1562–1573 https://doi.org/10.1109/TMI.2018.2791721
25
S Minaee, Y Y Boykov, F Porikli, A J Plaza, N Kehtarnavaz, D Terzopoulos. Image segmentation using deep learning: A survey. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2022, 44(7): 3523–3542 https://doi.org/10.1109/TPAMI.2021.3059968
26
D le Hien Nguyen, D Thi Thanh Do, J Lee, T Rabczuk, H Nguyen-Xuan. Forecasting damage mechanics by deep learning. Computers, Materials & Continua, 2019, 61(3): 951–977 https://doi.org/10.32604/cmc.2019.08001
27
M Schwarzer, B Rogan, Y Ruan, Z Song, D Y Lee, A G Percus, V T Chau, B A Moore, E Rougier, H S Viswanathan, G Srinivasan. Learning to fail: Predicting fracture evolution in brittle material models using recurrent graph convolutional neural networks. Computational Materials Science, 2019, 162: 322–332 https://doi.org/10.1016/j.commatsci.2019.02.046
28
J Wang, Y Zheng, R Luo, J Ma, Y Peng, S Aslam, W Jia. Prediction method of three-dimensional crack propagation path based on deep learning application. Advanced Engineering Materials, 2021, 23(4): 2001043 https://doi.org/10.1002/adem.202001043
29
Q Zou, Z Zhang, Q Li, X Qi, Q Wang, S Wang. DeepCrack: Learning hierarchical convolutional features for crack detection. IEEE Transactions on Image Processing, 2019, 28(3): 1498–1512 https://doi.org/10.1109/TIP.2018.2878966
30
Z Liu, Y Cao, Y Wang, W Wang. Computer vision-based concrete crack detection using U-net fully convolutional networks. Automation in Construction, 2019, 104: 129–139 https://doi.org/10.1016/j.autcon.2019.04.005
31
C Anitescu, E Atroshchenko, N Alajlan, T Rabczuk. Artificial neural network methods for the solution of second order boundary value problems. Computers, Materials & Continua, 2019, 59(1): 345 https://doi.org/10.32604/cmc.2019.06641
32
D Thi Thanh Do, J Lee, H Nguyen-Xuan. Fast evaluation of crack growth path using time series forecasting. Engineering Fracture Mechanics, 2019, 218: 106567 https://doi.org/10.1016/j.engfracmech.2019.106567
33
Y C Hsu, C H Yu, M J Buehler. Using deep learning to predict fracture patterns in crystalline solids. Matter, 2020, 3(1): 197–211 https://doi.org/10.1016/j.matt.2020.04.019
34
S Goswami, C Anitescu, S Chakraborty, T Rabczuk. Transfer learning enhanced physics informed neural network for phase-field modeling of fracture. Theoretical and Applied Fracture Mechanics, 2020, 106: 102447 https://doi.org/10.1016/j.tafmec.2019.102447
35
A Chakraborty, C Anitescu, X Zhuang, T Rabczuk. Domain adaptation based transfer learning approach for solving PDEs on complex geometries. Engineering with Computers, 2022, 38(5): 4569 https://doi.org/10.1007/s00366-022-01661-2
36
X Yang, H Li, Y Yu, X Luo, T Huang, X Yang. Automatic pixel-level crack detection and measurement using fully convolutional network. Computer-Aided Civil and Infrastructure Engineering, 2018, 33(12): 1090–1109 https://doi.org/10.1111/mice.12412
37
K Fukushima, S Miyake, T Ito. Neocognitron: A neural network model for a mechanism of visual pattern recognition. IEEE Transactions on Systems, Man, and Cybernetics, 1983, SMC-13(5): 826–834 https://doi.org/10.1109/TSMC.1983.6313076
38
A Waibel, T Hanazawa, G Hinton, K Shikano, K J Lang. Phoneme recognition using time-delay neural networks. IEEE Transactions on Acoustics, Speech, and Signal Processing, 1989, 37(3): 328–339 https://doi.org/10.1109/29.21701
39
Y LeCun, L Bottou, Y Bengio, P Haffner. Gradient-based learning applied to document recognition. Proceedings of the IEEE, 1998, 86(11): 2278–2324 https://doi.org/10.1109/5.726791
40
I GoodfellowY BengioA Courville. Deep Learning. Cambridge, MA: MIT Press, 2016
41
V Badrinarayanan, A Kendall, R Cipolla. SegNet: A deep convolutional encoder−decoder architecture for image segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2017, 39(12): 2481–2495 https://doi.org/10.1109/TPAMI.2016.2644615
42
K SimonyanA Zisserman. Very deep convolutional networks for large-scale image recognition. 2014, arXiv: 1409.1556
43
O RonnebergerP FischerT Brox. U-Net: Convolutional networks for biomedical image segmentation. In: Proceedings of the 18th International Conference on Medical Image Computing and Computer-Assisted Intervention. Cham: Springer Cham, 2015, 234–241
44
R DiPietroG D Hager. Deep learning: RNNs and LSTM. In: Proceedings of the Handbook of Medical Image Computing and Computer Assisted Intervention. Amsterdam: Elsevier, 2020, 503–519
K ChoMerriënboer B vanC GulcehreD BahdanauF BougaresH SchwenkY Bengio. Learning phrase representations using RNN encoder−decoder for statistical machine translation. 2014, arXiv: 1406.1078
47
K Greff, R K Srivastava, J Koutník, B R Steunebrink, J Schmidhuber. LSTM: A search space odyssey. IEEE Transactions on Neural Networks and Learning Systems, 2017, 28(10): 2222–2232 https://doi.org/10.1109/TNNLS.2016.2582924
48
Y D MaQ LiuZ B Qian. Automated image segmentation using improved PCNN model based on cross-entropy. In: Proceedings of the 2004 International Symposium on Intelligent Multimedia, Video and Speech Processing. New York: IEEE, 2004, 743–746
49
C H SudreW LiT VercauterenS OurselinM Jorge Cardoso. Generalised dice overlap as a deep learning loss function for highly unbalanced segmentations. In: Proceedings of the Deep learning in Medical Image Analysis and Multimodal Learning for Clinical Decision Support. Cham: Springer Cham, 2017, 240–248
50
S S M SalehiD ErdogmusA Gholipour. Tversky loss function for image segmentation using 3D fully convolutional deep networks. In: Proceedings of the International Workshop on Machine Learning in Medical Imaging. Cham: Springer Cham, 2017, 379–387
51
N AbrahamN M Khan. A novel focal Tversky loss function with improved attention U-Net for lesion segmentation. In: Proceedings of the 2019 IEEE 16th International Symposium on Biomedical Imaging (ISBI 2019). New York: IEEE, 2019, 683–687
52
M BermanA R TrikiM B Blaschko. The Lovász-Softmax loss: A tractable surrogate for the optimization of the intersection-over-union measure in neural networks. In: Proceedings of the 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition. New York: IEEE, 2018, 4413–4421
D P KingmaJ Ba. Adam: A method for stochastic optimization. 2014, arXiv: 1412.6980
55
J BertelsT EelbodeM BermanD VandermeulenF MaesR BisschopsM B Blaschko. Optimizing the dice score and Jaccard index for medical image segmentation: Theory and practice. In: Proceedings of the International Conference on Medical Image Computing and Computer-Assisted Intervention. Cham: Springer Cham, 2019, 92–100
56
A Botchkarev. Performance metrics (error measures) in machine learning regression, forecasting and prognostics: Properties and typology. 2018, arXiv: 1809.03006
57
Y Liu, J Yao, X Lu, R Xie, L Li. DeepCrack: A deep hierarchical feature learning architecture for crack segmentation. Neurocomputing, 2019, 338: 139–153 https://doi.org/10.1016/j.neucom.2019.01.036
58
B Winkler, G Hofstetter, G Niederwanger. Experimental verification of a constitutive model for concrete cracking. Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 2001, 215(2): 75–86
59
H Wang, W Zhang, F Sun, W Zhang. A comparison study of machine learning based algorithms for fatigue crack growth calculation. Materials, 2017, 10(5): 543 https://doi.org/10.3390/ma10050543
60
S IoffeC Szegedy. Batch normalization: Accelerating deep network training by reducing internal covariate shift. 2015, arXiv: 1502.03167
61
A F Agarap. Deep learning using rectified linear units (ReLU). 2018, arXiv: 1803.08375
62
P Paris, F Erdogan. A critical analysis of crack propagation laws. Journal of Basic Engineering, 1963, 85(4): 528–533
63
N Srivastava, G Hinton, A Krizhevsky, I Sutskever, R Salakhutdinov. Dropout: A simple way to prevent neural networks from overfitting. Journal of Machine Learning Research, 2014, 15: 1929–1958
64
J Y ZhuT ParkP IsolaA A Efros. Unpaired image-to-image translation using cycle-consistent adversarial networks. In: Proceedings of the 2017 IEEE International Conference on Computer Vision (ICCV). New York: IEEE, 2017, 2242–2251