PSI - Issue 68

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ScienceDirect

Procedia Structural Integrity 68 (2025) 887–893 Structural Integrity Procedia 00 (2024) 000–000 Structural Integrity Procedia 00 (2024) 000–000

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European Conference on Fracture 2024 Phase field modelling of freezing-induced cracking Q.M. Vuong a, ∗ , Y. Charles a ,M.Q. Thai b , J. Li a a Universite´ Sorbonne Paris Nord, Laboratoire des Sciences des Proce´de´s et des Mate´riaux, LSPM, CNRS, UPR 3407, F-93430, Villetaneuse, France b University of Transport and Communications, Hanoi, Vietnam Abstract Fragile materials such as concrete or rocks, under natural conditions, are subject to freeze / thaw cycles, which can induce damage over time and, ultimately, propagate macro-cracks. In this work, a phase-field approach is used to investigates the impact of a single frost cycle on crack initiation and propagation. Based on an experimental configuration, a parametric study is conducted to investigates the impact of the phase-field formulation on the crack morphology. It is shown, especially, that Amor’s split scheme is not usable in the studied configuration, while Miehe and Wu’s one provide relevant results. European Conference on Fracture 2024 Phase field modelling of freezing-induced cracking Q.M. Vuong a, ∗ , Y. Charles a ,M.Q. Thai b , J. Li a a Universite´ Sorbonne Paris Nord, Laboratoire des Sciences des Proce´de´s et des Mate´riaux, LSPM, CNRS, UPR 3407, F-93430, Villetaneuse, France b University of Transport and Communications, Hanoi, Vietnam Abstract Fragile materials such as concrete or rocks, under natural conditions, are subject to freeze / thaw cycles, which can induce damage over time and, ultimately, propagate macro-cracks. In this work, a phase-field approach is used to investigates the impact of a single frost cycle on crack initiation and propagation. Based on an experimental configuration, a parametric study is conducted to investigates the impact of the phase-field formulation on the crack morphology. It is shown, especially, that Amor’s split scheme is not usable in the studied configuration, while Miehe and Wu’s one provide relevant results. © 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 © 2025 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http: // creativecommons.org / licenses / by-nc-nd / 4.0 / ) © 2025 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http: // creativecommons.org / licenses / by-nc-nd / 4.0 / )

Peer-review under responsibility of ECF24 organizers. Keywords: Phase Field, Abaqus, Rocks, Frost, User Subroutine Peer-review under responsibility of ECF24 organizers. Keywords: Phase Field, Abaqus, Rocks, Frost, User Subroutine

1. Introduction 1. Introduction

Fracture in rock and rock-like material by freezing attract an important concern in rock engineering and building materials Matsuoka and Murton (2008); Freire-Lista et al. (2015); Draebing et al. (2017). In cold region, e ff ect of ice and freeze-thaw circle over years become harmful and is the main factor of severe problems leading to degradation and failure in structures. The freeze-thaw damage of rock is induced by cycling load of pore ice pressure and thermal stress. In water-filled cavities, 9% of freezing water volumetric expansion inducing expansive pressure is the main cause leading to fractures in intact rock, which is named as frost heaving pressure Girard et al. (2013). This frost heaving pressured developed in saturated crack could lead to initiation and propagation of crack in rock media. Frost durability of rock is one important criterion to evaluate building material performance and to prevent major menaces in the construction of rock structures in cold regions. Frost heaving pressure that induces shrinkage tensile stress arising on the fracture tip of a rock is supposed to be the main mechanism responsible for shattering rocks around the fracture surface, as has been observed in experiments Jia et al. (2017). The shape and geometry of cavity Tharp (1987), mechanical properties Kang et al. (2014), the degree of saturation McGreevy and Whalley (1985), thermo- Fracture in rock and rock-like material by freezing attract an important concern in rock engineering and building materials Matsuoka and Murton (2008); Freire-Lista et al. (2015); Draebing et al. (2017). In cold region, e ff ect of ice and freeze-thaw circle over years become harmful and is the main factor of severe problems leading to degradation and failure in structures. The freeze-thaw damage of rock is induced by cycling load of pore ice pressure and thermal stress. In water-filled cavities, 9% of freezing water volumetric expansion inducing expansive pressure is the main cause leading to fractures in intact rock, which is named as frost heaving pressure Girard et al. (2013). This frost heaving pressured developed in saturated crack could lead to initiation and propagation of crack in rock media. Frost durability of rock is one important criterion to evaluate building material performance and to prevent major menaces in the construction of rock structures in cold regions. Frost heaving pressure that induces shrinkage tensile stress arising on the fracture tip of a rock is supposed to be the main mechanism responsible for shattering rocks around the fracture surface, as has been observed in experiments Jia et al. (2017). The shape and geometry of cavity Tharp (1987), mechanical properties Kang et al. (2014), the degree of saturation McGreevy and Whalley (1985), thermo-

∗ Corresponding author. Tel.: + 33 1 49 40 36 24. E-mail address: minh.vuong@lspm.cnrs.fr ∗ Corresponding author. Tel.: + 33 1 49 40 36 24. E-mail address: minh.vuong@lspm.cnrs.fr

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.2025.06.146 2210-7843 © 2025 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http: // creativecommons.org / licenses / by-nc-nd / 4.0 / ) Peer-review under responsibility of ECF24 organizers. 2210-7843 © 2025 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http: // creativecommons.org / licenses / by-nc-nd / 4.0 / ) Peer-review under responsibility of ECF24 organizers.