PSI - Issue 64

1856 Tommaso Papa et al. / Procedia Structural Integrity 64 (2024) 1849–1856 8 Tommaso Papa, Massimiliano Bocciarelli, Pierluigi Colombi, Angelo Savio Calabrese / Structural Integrity Procedia 00 (2019) 000 – 000 5. Conclusions A cyclic cohesive zone model for the description of the interfacial bond behavior has been adopted. In particular, the identifiability of the fatigue model parameters was investigated. The procedure is based on the use of virtual data, i.e., data generated numerically by simulation, and which are then provided in input to the inverse analysis algorithm. Different analyses have been performed by varying the number and the value of the sought parameters and the type and amount of experimental information adopted. These input data have been perturbed by a noise level before being fed into the optimization algorithm to investigate the robustness of the inverse problem solution. Several noise extractions, sufficient to guarantee converge of the algorithm, have been adopted to provide a statistical characterization of the results through a Monte Carlo analysis. Based on the first obtained results, some concluding remarks can be drawn. The proposed stochastic inverse analysis procedure resulted to be accurate in investigating the identifiability of the sought model parameters by using measurements that can be generally taken in DS test configuration. In both scenarios, the information provided by displacements measurements resulted to be sufficient for the parameters identification. However, additional strain measurements resulted in the reduction of both the identification error and the associated standard deviation. Finally, the adoption of a meta-model reduction technique based on a polynomial interpolation scheme resulted to be effective in reducing the computational effort of the finite element operator. Acknowledgements The financial support provided by Politecnico di Milano is acknowledged. References Aoki, S., Amaya, K., Suga, K., Sekido, K., 2001. Identification of Gurson’s Material Constants by Using Kalman Filter. Transa ctions of the Japan Society of Mechanical Engineers, Part A 67(664):1892 – 97. doi: 10.1299/kikaia.67.1892. Bocciarelli, M., 2021. A New Cohesive Law for the Simulation of Crack Propagation under Cyclic Loading. Application to Steel- and Concrete FRP Bonded Interface. Theoretical and Applied Fracture Mechanics 114. doi: 10.1016/j.tafmec.2021.102992. Bocciarelli, M., and Ranzi, G., 2018. Identification of the Hygro-Thermo-Chemical-Mechanical Model Parameters of Concrete through Inverse Analysis. Construction and Building Materials 162:202 – 14. doi: 10.1016/j.conbuildmat.2017.11.167. Bolzon, G., Fedele R., Bocciarelli, M., Maier, G., 2006. Inverse Analyses in Fracture Mechanics. International Journal of Fracture 138:47 – 73. doi: 10.1007/978-1-4020-5423-5. Borrie, D., Al‐saadi, S., Zhao, X.L., Singh Raman, R.K., Bai, Y., 2021. Bonded Cfrp/Steel Systems, Remedies of Bond Degradati on and Behaviour of CFRP Repaired Steel: An Overview. Polymers 13(9). doi: 10.3390/polym13091533 Coleman, T.F., Li, Y., 1996. An Interior Trust Region Approach for Nonlinear Minimization Subject to Bounds. SIAM Journal on Optimization 6(2):418 – 45. doi: 10.1137/0806023. Colombi, P., Bocciarelli, M., Calabrese, A.S., D’antino, T., Papa, T., 2024 a. Externally Bonded CFRP Reinforcement of Steel Structures: Mechanical Characterization of a Toughened Epoxy Adhesive. 6th International Conference on Smart Monitoring, Assessment and Rehabilitation of Civil Structures, SMAR 2022. Shanghai, China, Vol. 259: 625 - 637. doi: 10.1007/978-981-99-3362-4_50 Colombi, P., Bocciarelli, M., Calabrese, A.S., D’Antino, T., Papa, T., 2024 b. Application of a Toughened Epoxy Adhesive for the Fatigue Strengthening of Steel Structures. 6th International Conference on Smart Monitoring, Assessment and Rehabilitation of Civil Structures, SMAR 2022. Shanghai, China, Vol. 259: 639 - 651. doi: 10.1007/978-981-99-3362-4_51 Fedele, R., Maier, G., Miller, B., 2005. Identification of elastic stiffness and local stresses in concrete dams by in situ tests and neural networks. Structure and Infrastructure Engineering 1(3), 165 – 180. doi: 10.1080/15732470500030513 Papa, T., Bocciarelli, M., 2023. Identification of the Parameters Contained in a Cyclic Cohesive Zone Model for Fatigue Crack Propagation. Engineering Fracture Mechanics 279. doi: 10.1016/j.engfracmech.2023.109055. Park, K., Paulino, G.H., 2011. Cohesive Zone Models: A Critical Review of Traction-Separation Relationships across Fracture Surfaces. Applied Mechanics Reviews 64(6). doi: 10.1115/1.4023110. Rose, J. H., Ferrante, J., Smith, J.R., 1981. Universal Binding Energy Curves for Metals and Bimetallic Interfaces. Physical Review Letters 47(9):675 – 78. doi: 10.1103/PhysRevLett.47.675. Schijve, J. 2003. Fatigue of Structures and Materials in the 20th Century and the State of the Art. International Journal of Fatigue 25(8):679 – 702. doi: 10.1016/S0142-1123(03)00051-3. Stavroulakis, G. E., Bolzon, G., Waszczyszyn, Z., Ziemianski, L., 2021. Inverse Analysis. Constitutive Modeling of Engineering Materials 55 – 81. doi: 10.1016/b978-0-12-814696-5.00008-3. Wang, H.T., Wu, G., Pang, Y.Y., Shi, J.W., Zakari, H.B., 2019. Experimental Study on the Bond Behavior between CFRP Plates and Steel Substrates under Fatigue Loading. Composites Part B: Engineering 176. doi: 10.1016/j.compositesb.2019.107266.

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