PSI - Issue 68

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Procedia Structural Integrity 68 (2025) 212–218 Structural Integrity Procedia 00 (2024) 000–000 Structural Integrity Procedia 00 (2024) 000–000

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European Conference on Fracture 2024 Interface and phase-field dynamic quasi-brittle fracture of solids under tension or compression Roman Vodicˇka a, ∗ a Technical University of Kosˇice, Faculty of Civil engineering, Vysokosˇkolska´ 4, 04200 Kosˇice, Slovakia Abstract A computational dynamic fracture model for multimaterials is described to provide crack-mode dependence including particular treatment when the load causes compression. The model also distinguishes between fracture in material and along interfaces. The former is simulated by the theory of phase-field fracture which causes material damage to occur in a thin material band introducing regularised cracks. The latter considers the interface to be a thin damageable adhesive layer with its own rule of degradation. In both cases internal variables are introduced for modelling. The computational approach is rendered from dynamic evolution equations based on the Hamilton principle adapted for dissipative systems. The calculations use a staggered time-stepping procedure and sequential quadratic programming algorithms together with a MATLAB finite element in-house code. c 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 fracture; interface crack; quadratic programming; dynamic crack propagation; staggered approach European Conference on Fracture 2024 Interface and phase-field dynamic quasi-brittle fracture of solids under tension or compression Roman Vodicˇka a, ∗ a Technical University of Kosˇice, Faculty of Civil engineering, Vysokosˇkolska´ 4, 04200 Kosˇice, Slovakia Abstract A computational dynamic fracture model for multimaterials is described to provide crack-mode dependence including particular treatment when the load causes compression. The model also distinguishes between fracture in material and along interfaces. The former is simulated by the theory of phase-field fracture which causes material damage to occur in a thin material band introducing regularised cracks. The latter considers the interface to be a thin damageable adhesive layer with its own rule of degradation. In both cases internal variables are introduced for modelling. The computational approach is rendered from dynamic evolution equations based on the Hamilton principle adapted for dissipative systems. The calculations use a staggered time-stepping procedure and sequential quadratic programming algorithms together with a MATLAB finite element in-house code. c 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 fracture; interface crack; quadratic programming; dynamic crack propagation; staggered approach © 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 The analysis of engineering structures pays much attention to prediction of failure. There always exists a risk that the failure will be caused by appearance of cracks in materials or between the materials. Additionally, in structural en gineering, the constructions or at least their parts are exposed to compression. In mechanical analysis of the structures by computers, an approach for regularised-crack-based phase-field damage is frequently used nowadays. Simultane ously, the model is equipped by a multidomain analysis of structures, thus the problem of failure caused by cracks extends also to interfaces. Anyhow, standardly implemented phase-field models declare troubles in accurate calcula tions which suppose compression to obtain data comparable to those from experiments, therefore, particular attention should be spent on such situations. The variational fracture model Bourdin et al. (2008) introduced particular form of regularised cracks. The model is referred as phase-field model and it is still attempting to preserve observing that a su ffi cient energy release is required for a crack to grow, though instead of a crack an internal variable is defined to approximate the crack by a narrow The analysis of engineering structures pays much attention to prediction of failure. There always exists a risk that the failure will be caused by appearance of cracks in materials or between the materials. Additionally, in structural en gineering, the constructions or at least their parts are exposed to compression. In mechanical analysis of the structures by computers, an approach for regularised-crack-based phase-field damage is frequently used nowadays. Simultane ously, the model is equipped by a multidomain analysis of structures, thus the problem of failure caused by cracks extends also to interfaces. Anyhow, standardly implemented phase-field models declare troubles in accurate calcula tions which suppose compression to obtain data comparable to those from experiments, therefore, particular attention should be spent on such situations. The variational fracture model Bourdin et al. (2008) introduced particular form of regularised cracks. The model is referred as phase-field model and it is still attempting to preserve observing that a su ffi cient energy release is required for a crack to grow, though instead of a crack an internal variable is defined to approximate the crack by a narrow 1. Introduction 1. Introduction

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.2025.06.044 ∗ Corresponding author. Tel.: + 421-55-602-4388. E-mail address: roman.vodicka@tuke.sk 2210-7843 c 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. ∗ Corresponding author. Tel.: + 421-55-602-4388. E-mail address: roman.vodicka@tuke.sk 2210-7843 c 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.