PSI - Issue 66

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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 66 (2024) 320–330

8th International Conference on Crack Paths Prediction of multiscale crack propagation in anisotropic microstructures by using an efficient cohesive/bulk homogenization scheme Domenico Ammendolea a , Fabrizio Greco a , Lorenzo Leonetti a *, Paolo Lonetti a , Arturo Pascuzzo b a Department of Civil Engineering, University of Calabria, Via P. Bucci Cubo 45B, 87036 Rende, Italy b Department of Engineering, Telematic University Pegaso, Centro Direzionale di Napoli Isola F2, 80143 Napoli, Italy Abstract In recent years, several enhanced homogenization approaches have been proposed with the aim of overcoming the limitations of classical first-order homogenization techniques in correctly capturing the softening behavior of quasi-brittle composite structures. However, most of these approaches, such as continuous/discontinuous homogenization schemes, are formulated within FE 2 -like methods, and therefore they usually require very large computational efforts. In the present work, a more efficient hierarchical cohesive/bulk homogenization approach is proposed for the prediction of multiscale crack propagation in anisotropic microstructures. Such an approach is intended to be used in combination with a Diffuse Interface Model (DIM) at the macroscopic scale, in which both bulk and cohesive macro-elements are equipped with overall anisotropic constitutive laws, both derived starting from a nonlinear homogenization performed on a suitably defined Repeating Unit Cell (RUC) subjected to periodic boundary conditions. As the main novelty point, an ad-hoc numerical procedure is proposed to extract a microscopically informed cohesive Traction-Separation Law (TSL) “on-the-fly”, i.e. , during the crack propagation analysis at the macroscopic level. The proposed model is then applied to the multiscale simulation of crack propagation in a porous heterogeneous beam chosen as a benchmark example. Finally, the accuracy and computational efficiency of the multiscale simulations have been shown by means of suitable comparisons with direct simulations performed on a fully meshed model. © 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 CP 2024 Organizers 8th International Conference on Crack Paths Prediction of multiscale crack propagation in anisotropic microstructures by using an efficient cohesive/bulk homogenization scheme Domenico Ammendolea a , Fabrizio Greco a , Lorenzo Leonetti a *, Paolo Lonetti a , Arturo Pascuzzo b a Department of Civil Engineering, University of Calabria, Via P. Bucci Cubo 45B, 87036 Rende, Italy b Department of Engineering, Telematic University Pegaso, Centro Direzionale di Napoli Isola F2, 80143 Napoli, Italy Abstract In recent years, several enhanced homogenization approaches have been proposed with the aim of overcoming the limitations of classical first-order homogenization techniques in correctly capturing the softening behavior of quasi-brittle composite structures. However, most of these approaches, such as continuous/discontinuous homogenization schemes, are formulated within FE 2 -like methods, and therefore they usually require very large computational efforts. In the present work, a more efficient hierarchical cohesive/bulk homogenization approach is proposed for the prediction of multiscale crack propagation in anisotropic microstructures. Such an approach is intended to be used in combination with a Diffuse Interface Model (DIM) at the macroscopic scale, in which both bulk and cohesive macro-elements are equipped with overall anisotropic constitutive laws, both derived starting from a nonlinear homogenization performed on a suitably defined Repeating Unit Cell (RUC) subjected to periodic boundary conditions. As the main novelty point, an ad-hoc numerical procedure is proposed to extract a microscopically informed cohesive Traction-Separation Law (TSL) “on-the-fly”, i.e. , during the crack propagation analysis at the macroscopic level. The proposed model is then applied to the multiscale simulation of crack propagation in a porous heterogeneous beam chosen as a benchmark example. Finally, the accuracy and computational efficiency of the multiscale simulations have been shown by means of suitable comparisons with direct simulations performed on a fully meshed model. © 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 CP 2024 Organizers © 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 CP 2024 Organizers

* Corresponding author. E-mail address: lorenzo.leonetti@unical.it * Corresponding author. E-mail address: lorenzo.leonetti@unical.it

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 CP 2024 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 CP 2024 Organizers

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