PSI - Issue 43

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ScienceDirect

Procedia Structural Integrity 43 (2023) 47–52 Structural Integrity Procedia 00 (2023) 000–000 Structural Integrity Procedia 00 (2023) 000–000

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© 2023 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 the responsibility of MSMF10 organizers. © 2023 The Authors. Published by Elsevier B.V. his is an open access article under the CC BY-NC-ND license (http: // creativecommons.org / licenses / by-nc-nd / 4.0 / ) eer-review under th responsibility of SMF10 organizers. Keywords: Cementitious composites; extended finite element method (XFEM); computational modelling. PACS: 46.50. + a 2020 MSC: 74R10; 65M06; 65M60 Abstract The article focuses on modelling origin damage to heterogeneous materials, especially to the issue of modelling the formation and propagation of cracks in fibre cementitious composites, which leads to total degradation of any structure. This paper studies mathe atical models based on the modification of the stress distribution and deformation calculation ahead the crack tip, using programming implementation of appropriate support procedures in Matlab language modifying the standard procedure of the extended finite element method (XFEM) for quasi-static material response. The technique of stress and strain calculation in the area of damage enables simplified and possibly more realistic estimates of the respective fields in the case of modelling the influence of short fibres realizing the reinforcement of construction materials. © 2023 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 the responsibility of MSMF10 organizers. Keywords: Cementitious composites; extended finite element method (XFEM); computational modelling. PACS: 46.50. + a 2020 MSC: 74R10; 65M06; 65M60 10th International Conference on Materials Structure and Micromechanics of Fracture Crack growth modelling in cementitious composites using XFEM Vladislav Koza´k a, ∗ , Jiˇr´ı Vala a a Brno University of Technology, Faculty of Civil Engineering, Institute of Mathematics and Descriptive Geometry, Veverˇ´ı 331 / 95, 602 00 Brno, Czech Republic Abstract The article focuses on modelling origin damage to heterogeneous materials, especially to the issue of modelling the formation and propagation of cracks in fibre cementitious composites, which leads to total degradation of any structure. This paper studies mathematical models based on the modification of the stress distribution and deformation calculation ahead the crack tip, using programming implementation of appropriate support procedures in Matlab language modifying the standard procedure of the extended finite element method (XFEM) for quasi-static material response. The technique of stress and strain calculation in the area of damage enables simplified and possibly more realistic estimates of the respective fields in the case of modelling the influence of short fibres realizing the reinforcement of construction materials. 10th International Conference on Materials Structure and Micromechanics of Fracture Crack growth modelling in cementitious composites using XFEM Vladislav Koza´k a, ∗ , Jiˇr´ı Vala a a Brno University of Technology, Faculty of Civil Engineering, Institute of Mathematics and Descriptive Geometry, Veverˇ´ı 331 / 95, 602 00 Brno, Czech Republic Non-destructive testing of material structure o ff ers image processing (2D X-ray, 3D tomographic), stationary mag netic and non-stationary electromagnetic approaches. Even in the case of fibre-reinforced concrete, the most com monly used composite with (almost) randomly distributed fibres used in construction, control over the volume frac tion and orientation of fibres is so far only possible in the production of fresh fibre-reinforced concrete mix. Adding threads can significantly improve many technical properties of concrete, especially fracture toughness, compressive strength, impact strength and durability of structures. In addition, tensile strength, fatigue strength and the ability to resist cracking also increase. In recent years, finite element method, especially extended element method has emerged as a special procedure for the crack growth modelling. Since this procedure is not new one, within last decades many extensions and new applications can be found. The eXtended Finite Element Method (XFEM briefly) (Khoei, 2011) covering both strong geometrical discontinuities (in function values) and weak ones (in gradients), with the aim of enrichment of the ap- Non-destructive testing of material structure o ff ers image processing (2D X-ray, 3D tomographic), stationary mag netic and non-stationary electromagnetic approaches. Even in the case of fibre-reinforced concrete, the most com monly used composite with (almost) randomly distributed fibres used in construction, control over the volume frac tion and orientation of fibres is so far only possible in the production of fresh fibre-reinforced concrete mix. Adding threads can significantly improve many technical properties of concrete, especially fracture toughness, compressive strength, impact strength and durability of structures. In addition, tensile strength, fatigue strength and the ability to resist cracking also increase. In recent years, finite element method, especially extended element method has emerged as a special procedure for the crack growth modelling. Since this procedure is not new one, within last decades many extensions and new applications can be found. The eXtended Finite Element Method (XFEM briefly) (Khoei, 2011) covering both strong geometrical discontinuities (in function values) and weak ones (in gradients), with the aim of enrichment of the ap- 1. Introduction 1. Introduction

∗ Corresponding author. Tel.: + 420-54114-7602. E-mail address: kozak.v@fce.vutbr.cz ∗ Corresponding author. Tel.: + 420-54114-7602. E-mail address: kozak.v@fce.vutbr.cz

2452-3216 © 2023 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 the responsibility of MSMF10 organizers. 10.1016/j.prostr.2022.12.233 2210-7843 © 2023 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 the responsibility of MSMF10 organizers. 2210-7843 © 2023 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 the responsibility of MSMF10 organizers.