{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,2]],"date-time":"2026-09-02T16:49:54Z","timestamp":1788367794222,"version":"build-2803163510"},"reference-count":31,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T00:00:00Z","timestamp":1769126400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Programme Johannes Amos Comenius under the Ministry of Education, Youth and Sports of the Czech Republic","award":["CZ.02.01.01\/00\/23_021\/0008433"],"award-info":[{"award-number":["CZ.02.01.01\/00\/23_021\/0008433"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Polymers"],"abstract":"<jats:p>This study presents the development, calibration, and validation of cohesive zone models (CZMs) for epoxy-based adhesive joints connecting stainless steel and CFRP composites. The objective of this study is to develop and rigorously validate cohesive zone models for epoxy-based adhesive joints between stainless steel and CFRP composites, ensuring their reliability for numerical simulations of structural failure under quasi-static and large-deformation conditions. The work focuses on accurately describing the quasi-static behaviour and failure mechanisms of hybrid adhesive interfaces, which are crucial for multimaterial structures in modern transportation systems. Experimental tests in Mode I (DCB) and Mode II (ENF) configurations were performed to determine the cohesive parameters of the structural adhesive SikaPower 1277. The obtained data were further analysed through analytical formulations and validated numerically using PAM-CRASH. Excellent agreement was achieved between experiments, analytical predictions, and simulations, confirming the reliability of the proposed material definitions under large deformations. The validated models were subsequently implemented in a large-scale numerical simulation of a bus rollover according to UN\/ECE Regulation No. 66, demonstrating their applicability to real structural components. The results show that the developed cohesive zone models enable accurate prediction of failure initiation and propagation in adhesive joints between dissimilar materials. These findings provide a robust foundation for the design of lightweight, crashworthy structures in transportation and open new perspectives for integrating epoxy-based adhesives into additively manufactured hybrid metal\u2013composite systems.<\/jats:p>","DOI":"10.3390\/polym18030309","type":"journal-article","created":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T14:58:40Z","timestamp":1769180320000},"page":"309","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Validated Cohesive Zone Models for Epoxy-Based Adhesive Joints Between Steel and CFRP Composites for Multimaterial Structural Design in Transportation Applications"],"prefix":"10.3390","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6071-1371","authenticated-orcid":false,"given":"Stanislav","family":"\u0160pirk","sequence":"first","affiliation":[{"name":"Faculty of Mechanical Engineering, University of West Bohemia, 301 00 Pilsen, Czech Republic"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1692-8762","authenticated-orcid":false,"given":"Tom\u00e1\u0161","family":"Kalina","sequence":"additional","affiliation":[{"name":"Faculty of Mechanical Engineering, University of West Bohemia, 301 00 Pilsen, Czech Republic"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2026,1,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Giusti, R., and Lucchetta, G. (2023). Cohesive Zone Modeling of the Interface Fracture in Full-Thermoplastic Hybrid Composites for Lightweight Applications. Polymers, 15.","DOI":"10.3390\/polym15224459"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Oshima, S., and Koyanagi, J. (2025). Review on Damage and Failure in Adhesively Bonded Composite Joints: A Microscopic Aspect. Polymers, 17.","DOI":"10.3390\/polym17030377"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"116598","DOI":"10.1016\/j.compstruct.2022.116598","article-title":"Experimental Parametric Investigation on the Behavior of Adhesively Bonded CFRP\/Steel Joints","volume":"307","author":"Mohabeddine","year":"2023","journal-title":"Compos. Struct."},{"key":"ref_4","first-page":"e53","article-title":"Validation of a Direct Method to Predict the Strength of Adhesively Bonded Joints\u2014Cohesive Zone Modelling of Three Adhesives via DCB\/ENF Tests","volume":"29","author":"Campilho","year":"2018","journal-title":"Sci. Technol. Mater."},{"key":"ref_5","first-page":"5","article-title":"Mechanical Behaviour of Adhesive Joints: A Review on Modelling Techniques","volume":"24","author":"Ries","year":"2024","journal-title":"Comput. Methods Mater. Sci."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"248","DOI":"10.1016\/j.ijadhadh.2011.01.006","article-title":"A Review of Finite Element Analysis of Adhesively Bonded Joints","volume":"31","author":"He","year":"2011","journal-title":"Int. J. Adhes. Adhes."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Park, J.-S., Kim, J.-H., Park, J.-H., and Ko, D.-C. (2021). Prediction of the Delamination at the Steel and CFRP Interface of Hybrid Composite Part. Materials, 14.","DOI":"10.3390\/ma14216285"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"07007","DOI":"10.1051\/itmconf\/20171507007","article-title":"Numerical analyses of adhesive-bonded joints in steel I-beams reinforced with CFRP strips","volume":"15","author":"Kowal","year":"2017","journal-title":"ITM Web Conf."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"111225","DOI":"10.1016\/j.compositesb.2024.111225","article-title":"Adhesively bonded joints\u2014A review on design, manufacturing, experiments, modeling and challenges","volume":"277","author":"Wei","year":"2024","journal-title":"Compos. Part B Eng."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"114739","DOI":"10.1016\/j.matdes.2025.114739","article-title":"Mechanical analysis of unidirectional glass fibre reinforced epoxy composite joints manufactured by adhesive bonding and co-curing techniques","volume":"258","author":"Jiang","year":"2025","journal-title":"Mater. Des."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1012","DOI":"10.1080\/00218464.2024.2411368","article-title":"Enhanced shear and vibration behaviour of co-cured CFRP joints with innovative lamination techniques","volume":"101","author":"Karthikeyan","year":"2025","journal-title":"J. Adhes."},{"key":"ref_12","first-page":"114782","article-title":"Cohesive Zone Parameter Influence on the Impact Strength of Adhesive Joints","volume":"278","author":"Pereira","year":"2022","journal-title":"Compos. Struct."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Loutas, T., Tsokanas, P., Kostopoulos, V., Nijhuis, P., and van den Brink, W.M. (2020). Mode I Fracture Toughness of Asymmetric Metal-Composite Adhesive Joints. arXiv.","DOI":"10.1051\/matecconf\/201930401004"},{"key":"ref_14","unstructured":"(2022). Standard Test Method for Mode I Interlaminar Fracture Toughness of Unidirectional Fiber-Reinforced Polymer Matrix Composites (Standard No. ASTM D5528\/D5528M)."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"51","DOI":"10.7494\/mech.2014.33.2.51","article-title":"Finite Element Analysis of Adhesive Bonds Using the Cohesive Zone Modeling Method","volume":"33","author":"Korta","year":"2014","journal-title":"Mech. Control"},{"key":"ref_16","unstructured":"(2019). Standard Test Method for Determination of the Mode II Interlaminar Fracture Toughness of Unidirectional Fiber-Reinforced Polymer Matrix Composites (Standard No. ASTM D7905\/D7905M)."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Shi, T., Pang, M., Wang, Y., and Zhang, Y. (2023). Inverse Identification Framework for Cohesive Zone Model Incorporating Failure Mode Based on Multi-Island Genetic Algorithm. arXiv.","DOI":"10.1016\/j.engfracmech.2024.110005"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Kalina, T., Chval, Z., Sedlacek, F., and Spirk, S. (2025). Sensitivity Analysis and Influence Evaluation of Progressive Wall Thickness of Honeycomb Structures as Energy Absorber Produced by Additive Technology Multi-Jet Fusion. Materials, 18.","DOI":"10.3390\/ma18010001"},{"key":"ref_19","unstructured":"Hismanshu, R., and Ramaswamy, A. (2024). A Discrete Cohesive Zone Model for Beam Element: Application to Adhesively Bonded Laminates and Sandwich Panels. arXiv."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/j.tafmec.2017.06.022","article-title":"On the strength prediction of adhesively bonded FRP-steel joints using cohesive zone modelling","volume":"96","author":"Heshmati","year":"2018","journal-title":"Theor. Appl. Fract. Mech."},{"key":"ref_21","doi-asserted-by":"crossref","unstructured":"Askarinejad, S., Mart\u00ednez-Pa\u00f1eda, E., Cuesta, I., and Fleck, N.A. (2020). Mode II Fracture of an MMA Adhesive Layer: Theory Versus Experiment. arXiv.","DOI":"10.1016\/j.euromechsol.2020.104133"},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Adediran, I., Fritz, J., and Truster, T. (2025). Comparative Analysis of Different Adhesive Model Representations in Single-Lap Joints Using Finite Element Analysis. Appl. Sci., 15.","DOI":"10.3390\/app15052661"},{"key":"ref_23","doi-asserted-by":"crossref","unstructured":"Lanzerath, H., Nowack, N., and Mestres, E. (2009). Simulation Tool Including Failure for Structural Adhesives in Full-Car Crash Models, SAE International. SAE Technical Paper 2009-01-0474.","DOI":"10.4271\/2009-01-0474"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"4317","DOI":"10.1080\/01694243.2024.2384421","article-title":"A State-of-the-Art Review on Adhesively Bonded Joints of Similar and Dissimilar Materials","volume":"38","author":"Akkasali","year":"2024","journal-title":"J. Adhes. Sci. Technol."},{"key":"ref_25","first-page":"23","article-title":"Models Analyzing the Response of the Adhesive Joint Between FRP and Concrete","volume":"3","author":"Zhelyazov","year":"2024","journal-title":"Adv. Civ. Eng."},{"key":"ref_26","unstructured":"\u0160pirk, S., \u0160pi\u010dka, J., and Vychytil, J. (July, January 30). Simulation of Tram\u2013Pedestrian Collision with Validated Windshield Material Model. Proceedings of the 58th International Scientific Conference on Experimental Stress Analysis (EAN 2020), T\u00e1bor, Czech Republic."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"65","DOI":"10.24132\/acm.2020.562","article-title":"Numerical Analysis of Passenger Kinematics and Injury Risks during a Railway Vehicle Collision: The Effect of Safety Belts","volume":"14","author":"Vychytil","year":"2020","journal-title":"Appl. Comput. Mech."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"192","DOI":"10.1016\/j.compstruct.2012.10.045","article-title":"Study on Mechanical Behaviours of FRP-to-Steel Adhesively-Bonded Joint Under Tensile Loading","volume":"98","author":"Jiang","year":"2013","journal-title":"Compos. Struct."},{"key":"ref_29","unstructured":"Jofr\u00e9, L.D., and Olag\u00fce, E. (2013). Durability of Adhesively-Bonded CFRP\/Steel Joints: Moisture Diffusion and Strength Degradation. [Master\u2019s Thesis, Chalmers University]. No. 123."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"224","DOI":"10.1016\/j.ijadhadh.2012.08.007","article-title":"Experimental and Numerical Investigation of the Static Response of Environmentally Aged Adhesively Bonded Joints","volume":"40","author":"Sugiman","year":"2013","journal-title":"Int. J. Adhes. Adhes."},{"key":"ref_31","first-page":"102824","article-title":"Estimation of Fracture Behavior of CFRP\/CFRP Adhesively-Bonded Joints","volume":"120","author":"Kouno","year":"2024","journal-title":"Int. J. Adhes. Adhes."}],"container-title":["Polymers"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-4360\/18\/3\/309\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T15:06:23Z","timestamp":1769180783000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-4360\/18\/3\/309"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,1,23]]},"references-count":31,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2026,2]]}},"alternative-id":["polym18030309"],"URL":"https:\/\/doi.org\/10.3390\/polym18030309","relation":{},"ISSN":["2073-4360"],"issn-type":[{"value":"2073-4360","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,1,23]]}}}