Issue 70

E. V. Feklistova et alii, Frattura ed Integrità Strutturale, 70 (2024) 105-120; DOI: 10.3221/IGF-ESIS.70.06

Numerical study of the influence of the parameters of statistical distribution of the structural elements’ ultimate strength on deformable bodies’ fracture processes

E.V. Feklistova, A.I. Mugatarov, V.E. Wildemann Center of Experimental Mechanics, Perm National Research Polytechnic University, Russia

cem.feklistova@mail.ru, https://orcid.org/0000-00020025-6204 cem_mugatarov@mail.ru, https://orcid.org/0000-0002-2229-8181 wildemann@pstu.ru, https://orcid.org/0000-0002-6240-4022

Citation: Feklisova, E.V, Mugatarov, A.I., Wildemann, V.E., Numerical study of the influence of the parameters of statistical distribution of the structural elements’ ultimate strength on deformable bodies’ fracture processes, Frattura ed Integrità Strutturale, 70 (2024) 105-120.

Received: 18.06.2024 Accepted: 08.08.2024 Published: 12.08.2024 Issue: 10.2024

Copyright: © 2024 This is an open access article under the terms of the CC-BY 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

K EYWORDS . Fracture, Finite element method, Numerical modeling, Brittle body, Strength properties distribution.

I NTRODUCTION

o ensure the reliability and safety of critical structures, it is necessary to analyze their mechanical behavior not only under conditions of normal operation, but also under conditions of fracture processes at the macrolevel [1]. Various computational methods are used to analyze the processes of solid’s deformation and fracture. The most widely used approaches are: finite element method [2], extended finite element method [3, 4], extended virtual element method [5], peridynamics [6], finite element discretized symplectic method [7], meshfree method [8], etc. In addition, various models of materials’ mechanical behavior are used: linear elastic model [9] (in linear elastic fracture mechanics), continuum damage models [10], cohesive crack models [4], bridged crack models [11], etc. An approach, in which the change of finite elements’ (FE) stiffness properties is implemented when the failure criterion is fulfilled, is widely used during numerical modeling of T

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