PSI - Issue 31

Available online at www.sciencedirect.com

ScienceDirect

Procedia Structural Integrity 31 (2021) 134–139 Structural Integrity Procedia 00 (2019) 000–000 Structural Integrity Procedia 00 (2019) 000–000

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

© 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 ICSID 2020 Organizers. Abstract Fracture properties of various types of concrete, like plain or fiber reinforced concrete are determined in 3-point bending ex periments resulting in a force-displacement diagram. Standard properties of concrete are then determined using technical norms. However, post-peak behavior of concrete, including crack propagation, cannot be described using standard properties. Authors are developing nonlinear, stochastically based material model for concrete to describe post-peak concrete behavior together with crack propagation. One of the most desirable properties of the model is its suitability for later in-verse analysis and parameter determina tion. Model is based on moment – curvature (m- κ ) relation and layered approach to discretization. In this work, we are presenting the basic properties of the model and its ability to capture the phenomena of interest (proof of concept). c 2021 The Authors. Published by Elsevier B.V. is is an open access article under the CC BY-NC-ND license (http://cr ativec mmons.org/licenses/by-nc-nd/4.0/) P r-review unde responsibility of CSID 2020 Organizers. Keywords: bending behavior; force-displacement; post-peak behavior; crack propagation; fracture; stochastically based model; 4th International Conference on Structural Integrity and Durability, ICSID 2020 Layered model of crack growth in concrete beams in bending I. Kozˇar a, ∗ , N. Bede a , S. Mrakovcˇic´ a , Zˇ . Bozˇic´ b a University of Rijeka, Faculty of Civil Engineering, R. Matejcˇic´ 3, 51000 Rijeka, Croatia b University of Zagreb, Faculty of Mech. Eng. And Nav. Arch., Zagreb, Croatia Abstract Fracture properties of various types of concrete, like plain or fiber reinforced concrete are determined in 3-point bending ex periments resulting in a force-displacement diagram. Standard properties of concrete are then determined using technical norms. However, post-peak behavior of concrete, including crack propagation, cannot be described using standard properties. Authors are developing nonlinear, stochastically based material model for concrete to describe post-peak concrete behavior together with crack propagation. One of the most desirable properties of the model is its suitability for later in-verse analysis and parameter determina tion. Model is based on moment – curvature (m- κ ) relation and layered approach to discretization. In this work, we are presenting the basic properties of the model and its ability to capture the phenomena of interest (proof of concept). c 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 ICSID 2020 Organizers. Keywords: bending behavior; force-displacement; post-peak behavior; crack propagation; fracture; stochastically based model; 4th International Conference on Structural Integrity and Durability, ICSID 2020 Layered model of crack growth in concrete beams in bending I. Kozˇar a, ∗ , N. Bede a , S. Mrakovcˇic´ a , Zˇ . Bozˇic´ b a University of Rijeka, Faculty of Civil Engineering, R. Matejcˇic´ 3, 51000 Rijeka, Croatia b University of Zagreb, Faculty of Mech. Eng. And Nav. Arch., Zagreb, Croatia

Nomenclature Nomenclature

f c force - displacement function for concrete defined in piecewise terms position of the neutral axis in beam’s cross section κ curvature of the beam h i position of i th layer m moment acting in beam’s cross section F force balance function M moment balance function f c force - displacement function for concrete defined in piecewise terms position of the neutral axis in beam’s cross section κ curvature of the beam h i position of i th layer m moment acting in beam’s cross section F force balance function M moment balance function

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 ICSID 2020 Organizers. 10.1016/j.prostr.2021.03.022 ∗ Corresponding author. Tel.: +385 51 265-993. E-mail address: ivica.kozar@gradri.uniri.hr 2210-7843 c 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 ICSID 2020 Organizers. ∗ Corresponding author. Tel.: +385 51 265-993. E-mail address: ivica.kozar@gradri.uniri.hr 2210-7843 c 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 ICSID 2020 Organizers.