PSI - Issue 68

ScienceDirect Structural Integrity Procedia 00 (2025) 000–000 Structural Integrity Procedia 00 (2025) 000–000 Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Available online at www.sciencedirect.com ScienceDirect

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

Procedia Structural Integrity 68 (2025) 734–740

European Conference on Fracture 2024 Bayesian analysis of fracture of polyamide 12 U-notched specimens F.J. Gómez a *, T. Gómez-del-Rio b , J. Rodríguez b a ADVANCED MATERIAL SIMULATION S.L. C/Elcano 14 48008 Bilbao, Spain b DIMME, Grupo de Durabilidad e Integridad Mecánica de Materiales Estructurales, Escuela Superior de Ciencias Experimentales y Tecnología, Universidad Rey Juan Carlos (URJC), C/Tulipán, s/n. Móstoles, 28933 Madrid. Spain Abstract The analysis of U-notched specimens with different notch radii has emerged as a valuable approach for validating the applicability of failure criteria in a given material or determining the fracture toughness. The process involves selecting an appropriate failure criterion or fracture model that best describes the experimental results, fine-tuning the criterion parameters, and subsequently utilizing it to evaluate the case of a notch with a zero radius. To enhance this methodology, Bayesian statistical techniques are employed to ascertain the statistical distribution of fracture toughness. The present study has been carried out with polyamide 12 specimens manufactured by selective laser sintering tested in two different orientations. The a posteriori distribution of the fracture toughness has been numerically calculated using a Markov Chain Monte Carlo (MCMC) algorithm. This approach enables the estimation of uncertainty associated with the fracture toughness value, offering insights into the reliability of the proposed failure criteria. © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) European Conference on Fracture 2024 Bayesian analysis of fracture of polyamide 12 U-notched specimens F.J. Gómez a *, T. Gómez-del-Rio b , J. Rodríguez b a ADVANCED MATERIAL SIMULATION S.L. C/Elcano 14 48008 Bilbao, Spain b DIMME, Grupo de Durabilidad e Integridad Mecánica de Materiales Estructurales, Escuela Superior de Ciencias Experimentales y Tecnología, Universidad Rey Juan Carlos (URJC), C/Tulipán, s/n. Móstoles, 28933 Madrid. Spain Abstract The analysis of U-notched specimens with different notch radii has emerged as a valuable approach for validating the applicability of failure criteria in a given material or determining the fracture toughness. The process involves selecting an appropriate failure criterion or fracture model that best describes the experimental results, fine-tuning the criterion parameters, and subsequently utilizing it to evaluate the case of a notch with a zero radius. To enhance this methodology, Bayesian statistical techniques are employed to ascertain the statistical distribution of fracture toughness. The present study has been carried out with polyamide 12 specimens manufactured by selective laser sintering tested in two different orientations. The a posteriori distribution of the fracture toughness has been numerically calculated using a Markov Chain Monte Carlo (MCMC) algorithm. This approach enables the estimation of uncertainty associated with the fracture toughness value, offering insights into the reliability of the proposed failure criteria. © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of ECF24 organizers Keywords: U-notches; failure criteria; Bayesian analysis. 1. Introduction The analysis of notches is a widely adopted technique for assessing the structural integrity of components subjected to high stress or fatigue, as well as for optimizing designs to minimize the risk of failure. The failure analysis of U-notched specimens with different notch radii has proven to be useful in validating the applicability of © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of ECF24 organizers Peer-review under responsibility of ECF24 organizers Keywords: U-notches; failure criteria; Bayesian analysis. 1. Introduction The analysis of notches is a widely adopted technique for assessing the structural integrity of components subjected to high stress or fatigue, as well as for optimizing designs to minimize the risk of failure. The failure analysis of U-notched specimens with different notch radii has proven to be useful in validating the applicability of

* Corresponding author. Tel.: +34 629269931. E-mail address: Javier.gomez@amsimulation.com * Corresponding author. Tel.: +34 629269931. E-mail address: Javier.gomez@amsimulation.com

2452-3216 © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of ECF24 organizers 2452-3216 © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of ECF24 organizers

2452-3216 © 2025 The Authors. Published by ELSEVIER B.V. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0) Peer-review under responsibility of ECF24 organizers 10.1016/j.prostr.2025.06.123