PSI - Issue 35

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ScienceDirect

Procedia Structural Integrity 35 (2022) 159–167 Structural Integrity Procedia 00 (2021) 000–000 Structural Integrity Procedia 00 (2021) 000–000

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© 2021 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 IWPDF 2021 Chair, Tuncay Yalçinkaya Abstract In this study, a peridynamic approach to pneumatic fracture is presented. The examined peridynamic model relies on the classical state-based formulation, where a critical bond-strain damage is assumed for a linear solid material. A penny-shaped initial crack is subjected to internal pressure, and it is found that that the crack tip opening displacement agrees well with the analytical solution. Therefore, the peridynamic model to pneumatic fracture captures the crack evolution quantitatively correctly. With the results at hand, the pneumatic cracking inside a concrete cylinder is simulated. It is shown that the shape of the cracks and fragments is in good qualitative agreement with the results of our supporting experiments. 2021 The Authors. Published by Elsevier B.V. is is an open access article under the CC BY-NC-ND license (http: // creativec mmons.org / licenses / by-nc-nd / 4.0 / ) r-review under responsibility of IWPDF 2021 Chair, Tuncay Yalc¸inkaya. Keywords: pneumatic fracture; peridynamics; pressure-driven crack growth; experimental fragmentation 2nd International Workshop on Plasticity, Damage and Fracture of Engineering Materials Pneumatic Fracture Computations with Peridynamics Kai Friebertsha¨user a, ∗ , Marek Werner a , Kerstin Weinberg a a Universita¨ t Siegen, Fakulta¨ t IV, Lehrstuhl fu¨r Festko¨rpermechanik, Paul-Bonatz-Str. 9-11, 57076 Siegen, Germany Abstract In this study, a peridynamic approach to pneumatic fracture is presented. The examined peridynamic model relies on the classical state-based formulation, where a critical bond-strain damage is assumed for a linear solid material. A penny-shaped initial crack is subjected to internal pressure, and it is found that that the crack tip opening displacement agrees well with the analytical solution. Therefore, the peridynamic model to pneumatic fracture captures the crack evolution quantitatively correctly. With the results at hand, the pneumatic cracking inside a concrete cylinder is simulated. It is shown that the shape of the cracks and fragments is in good qualitative agreement with the results of our supporting experiments. © 2021 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 IWPDF 2021 Chair, Tuncay Yalc¸inkaya. Keywords: pneumatic fracture; peridynamics; pressure-driven crack growth; experimental fragmentation 2nd International Workshop on Plasticity, Damage and Fracture of Engineering Materials Pneumatic Fracture Computations with Peridynamics Kai Friebertsha¨user a, ∗ , Marek Werner a , Kerstin Weinberg a a Universita¨ t Siegen, Fakulta¨ t IV, Lehrstuhl fu¨r Festko¨rpermechanik, Paul-Bonatz-Str. 9-11, 57076 Siegen, Germany The prediction of crack formation and crack propagation is still a very challenging subject in computational me chanics. Recently, pressure-driven crack growth has been of particular interest, mainly in the context of hydraulic fracturing where the injection of a high-pressure fluid into rocks opens and propagates cracks Mikelic´ et al. (2015); Luo and Ehlers (2015); Lecampion et al. (2018); Nadimi and Miskovic (2015); Ouchi et al. (2015). Pneumatic fracture is a condensed version of pressure-driven fracture where a gas pressure opens fissures and cracks and fragments the brittle solid. Such loading regimes can be found in subsurface volcanic activities, pressurized vessels, and biological tissue. Examples are ventilator-induced lung injuries or episodes of ear barotrauma which may lead to rupture of the eardrum. Pressure-driven fracture problems have been addressed by a variety of computational methods such as damage models Pandolfi et al. (2016), discontinuous finite element discretizations like cohesive elements Chen et al. (2009); Sheng et al. (2018), but mostly by phase-field fracture simulations Miehe and Mauthe (2016); Mikelic´ et al. (2015); Wilson and Landis (2016); Bilgen and Weinberg (2021). All these approaches are based on classical continuum me chanics assuming a homogeneous or porous bulk material. Peridynamics is an alternative approach to pressurized The prediction of crack formation and crack propagation is still a very challenging subject in computational me chanics. Recently, pressure-driven crack growth has been of particular interest, mainly in the context of hydraulic fracturing where the injection of a high-pressure fluid into rocks opens and propagates cracks Mikelic´ et al. (2015); Luo and Ehlers (2015); Lecampion et al. (2018); Nadimi and Miskovic (2015); Ouchi et al. (2015). Pneumatic fracture is a condensed version of pressure-driven fracture where a gas pressure opens fissures and cracks and fragments the brittle solid. Such loading regimes can be found in subsurface volcanic activities, pressurized vessels, and biological tissue. Examples are ventilator-induced lung injuries or episodes of ear barotrauma which may lead to rupture of the eardrum. Pressure-driven fracture problems have been addressed by a variety of computational methods such as damage models Pandolfi et al. (2016), discontinuous finite element discretizations like cohesive elements Chen et al. (2009); Sheng et al. (2018), but mostly by phase-field fracture simulations Miehe and Mauthe (2016); Mikelic´ et al. (2015); Wilson and Landis (2016); Bilgen and Weinberg (2021). All these approaches are based on classical continuum me chanics assuming a homogeneous or porous bulk material. Peridynamics is an alternative approach to pressurized 1. Introduction 1. Introduction

∗ Corresponding author. Tel.: + 49 (0271) 740-4642 ; fax: + 49 (0271) 740-12225. E-mail address: kai.friebertshaeuser@uni-siegen.de ∗ Corresponding author. Tel.: + 49 (0271) 740-4642 ; fax: + 49 (0271) 740-12225. E-mail address: kai.friebertshaeuser@uni-siegen.de

2452-3216 © 2021 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 IWPDF 2021 Chair, Tuncay Yal ç inkaya 10.1016/j.prostr.2021.12.060 2210-7843 © 2021 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 IWPDF 2021 hair, Tu cay Yalc¸inkaya. 2210-7843 © 2021 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 IWPDF 2021 Chair, Tuncay Yalc¸inkaya.