PSI - Issue 66

ScienceDirect Structural Integrity Procedia 00 (2025) 000 – 000 Structural Integrity Procedia 00 (2025) 000 – 000 Available online at www.sciencedirect.com Available online at www.sciencedirect.com ScienceDirect Available online at www.sciencedirect.com ScienceDirect

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

Procedia Structural Integrity 66 (2024) 406–411

8th International Conference on Crack Paths Mechanical Behaviour of Multiple Cracked Nanobeams: A Novel Analytical Model 8th International Conference on Crack Paths Mechanical Behaviour of Multiple Cracked Nanobeams: A Novel Analytical Model Daniela Scorza a *, Andrea Carpinteri a , Raimondo Luciano b , Camilla Ronchei a , Sabrina Vantadori a , Andrea Zanichelli a * a Department of Engineering and Architecture - University of Parma, 43124 Parma, Italy b Department of Engineering - University of Naples Parthenope, 80143 Naples, Italy Daniela Scorza a *, Andrea Carpinteri a , Raimondo Luciano b , Camilla Ronchei a , Sabrina Vantadori a , Andrea Zanichelli a * a Department of Engineering and Architecture - University of Parma, 43124 Parma, Italy b Department of Engineering - University of Naples Parthenope, 80143 Naples, Italy

Abstract The aim of the present paper is to propose a novel nonlocal analytical model to investigate the mechanical behaviour of a multiple cracked nanobeam subjected to bending load. Such a model is a reformulation of that proposed by some of the present authors for a single cracked nanobeam, and exploits the Stress Driven nonlocal Model within the Euler-Bernoulli beam theory. According to such a novel formulation, the nanobeam is split in correspondence of each of the n cracks, thus obtaining n+1 segments connected to each other by means of massless elastic rotational springs. The stiffness of each spring is computed by using firstly the Griffith’s energy criterion and then the conventional Linear Elastic Fracture Mechanics, where the stress intensity factor is computed through a finite element modelling. The proposed model is employed to simulate a bending test performed on a cantilever microbeam containing two edge-cracks, and a parametric study is performed by varying the depths of the cracks, their reciprocal distance and the position of the first crack in order to explore how such parameters influence the mechanical response of the above microbeam. © 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 CP 2024 Organizers Keywords: bending; edge-cracks; nanobeams; nonlocal; Stress Driven Model Abstract The aim of the present paper is to propose a novel nonlocal analytical model to investigate the mechanical behaviour of a multiple cracked nanobeam subjected to bending load. Such a model is a reformulation of that proposed by some of the present authors for a single cracked nanobeam, and exploits the Stress Driven nonlocal Model within the Euler-Bernoulli beam theory. According to such a novel formulation, the nanobeam is split in correspondence of each of the n cracks, thus obtaining n+1 segments connected to each other by means of massless elastic rotational springs. The stiffness of each spring is computed by using firstly the Griffith’s energy criterion and then the conventional Linear Elastic Fracture Mechanics, where the stress intensity factor is computed through a finite element modelling. The proposed model is employed to simulate a bending test performed on a cantilever microbeam containing two edge-cracks, and a parametric study is performed by varying the depths of the cracks, their reciprocal distance and the position of the first crack in order to explore how such parameters influence the mechanical response of the above microbeam. © 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 CP 2024 Organizers Keywords: bending; edge-cracks; nanobeams; nonlocal; Stress Driven Model © 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 CP 2024 Organizers

* Corresponding author. Tel.: +39 0521 906457 E-mail address: daniela.scorza@unipr.it * Corresponding author. Tel.: +39 0521 906457 E-mail address: daniela.scorza@unipr.it

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 CP 2024 Organizers 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 CP 2024 Organizers

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 CP 2024 Organizers 10.1016/j.prostr.2024.11.092