PSI - Issue 23

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Available online at www.sciencedirect.com Structural Integrity Procedia 00 (2019) 000 – 000 Structural Integrity Procedia 00 (2019) 000 – 000

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ScienceDirect

Procedia Structural Integrity 23 (2019) 445–450

© 2019 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 the scientific committee of the ICMSMF organizers This paper pays attention to the automation of basic linear analysis of structures compound from brittle or quasi brittle materials using the extended finite element method (XFEM) with extrinsic enrichment functions in the form of signed distances, useful in the numerical analysis of crack propagation problems. The basic approaches to numer ical quadrature, needed in the finite element analysis with crack interfaces, are sketched. Consequently an illustra tive numerical example, using the phantom node technique, is demonstrated. All relevant algorithms have been implemented into the RFEM software package and seem to produce results in good agreement with experiments. Their further development is needed, to handle more complicated physical and mathematical problems. © 201 9 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 the scientific committee of the IC MSMF organizers. Keywords: finite element method (FEM); extended finite element method (XFEM); fracture mechanics; numerical integration. This paper pays attention to the automation of basic linear analysis of structures compound from brittle or quasi brittle materials using the extended finite element method (XFE ) with extrinsic enrichment functions in the form of signed distances, useful in the numerical analysis of crack propagation problems. The basic approaches to numer ical quadrature, needed in the finite element analysis with crack interfaces, are sketched. Consequently an illustra tive numerical example, using the phantom node technique, is demonstrated. All relevant algorithms have been implemented into the RFE software package and seem to produce results in good agreement with experiments. Their further development is needed, to handle more complicated physical and mathematical problems. © 201 9 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 the scientific committee of the IC MSMF organizers. Keywords: finite element method (FEM); extended finite element method (XFEM); fracture mechanics; numerical integration. 9th International Conference on Materials Structure and Micromechanics of Fracture On automation of XFEM computations considering general shapes of cracks in terms of the stress analysis of spatial structures Michal Jedlička a, * , Václav Rek a , Jiří Vala b a Brno University of Technology, Faculty of Civil Engineering, Institute of Structural Mechanics , 602 00 Brno, Veveří 331/95, Czech Republic b Brno University of Technology, Faculty of Civil Engineering, Institute of Mathematics and Descriptive Geometry, 602 00 Brno, Veveří 331/95, Czech Republic 9th International Conference on aterials Structure and icro echanics of Fracture a t ati f c tati s c si eri e eral s a es f crac s i ter s f t e stress a al sis f s atial str ct res ichal Jedlička a, * , áclav ek a , Jiří ala b a Brno University of Technology, Faculty of Civil Engineering, Institute of Structural Mechanics , 602 00 Brno, Veveří 331/95, Czech Republic b Brno University of Technology, Faculty of Civil Engineering, Institute of Mathematics and Descriptive Geometry, 602 00 Brno, Veveří 331/95, Czech Republic Abstract Abstract

1. Introduction 1. Introduction

Development and design of advanced materials, structures and technologies forces the proper analysis and deep er research of relevant damage mechanisms. Their motivation, in addition to current trends in structural mechanics, comes also from some collapses of engineering structures, e.g. of the Ponte Morandi viaduct in Genoa on 23th Au- Development and design of advanced materials, structures and technologies forces the proper analysis and deep er research of relevant damage mechanisms. Their motivation, in addition to current trends in structural mechanics, comes also from some collapses of engineering structures, e.g. of the Ponte orandi viaduct in Genoa on 23th Au-

* Corresponding author. Tel.: +420-541-147-375. E-mail address: jedlicka.m@fce.vutbr.cz * Corresponding author. Tel.: +420-541-147-375. E-mail address: jedlicka.m@fce.vutbr.cz

2452-3216 © 2019 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 the scientific committee of the IC MSMF organizers. 2452-3216 © 2019 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 the scientific committee of the IC MSMF organizers.

2452-3216 © 2019 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 the scientific committee of the ICMSMF organizers 10.1016/j.prostr.2020.01.127