文章基本信息

标题：Simulation of the Griffith's Crack Using Own Method of Predicting the Crack Propagation
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作者：Jerzy Podgórski ; Jerzy Podgórski ; Jakub Gontarz 等
期刊名称：Advances in Science and Technology Research Journal
印刷版ISSN：2080-4075
电子版ISSN：2299-8624
出版年度：2021
卷号：15
期号：4
页码：1-13
DOI：10.12913/22998624/141908
语种：English
出版社：Society of Polish Mechanical Engineers and Technicians
摘要：The paper presents the results of numerical simulation of brittle material fracture initiated by Griffi th’s crack situated at any angle with respect to the load direction. The simulations were performed with the Simulia Abaqus FEA system using the X-FEM method. The direction of the crack propagation was determined using the user’s subroutine written in Fortran, implemented in the Abaqus system. The authors programmed several conditions for the direction of the fracture propagation: maximum principal stress criterion, Ottosen-Podgórski criterion, three criteria based on displacements around the crack tip, and the MTS criterion, which is based on stress intensity factors. For the purposes of this study, two shapes of the crack tip were analyzed - sharp and blunted. The relationship between the direction of the initial fracture and the direction of crack propagation was found. The simulations were carried out for the angles of the initial crack from 0° to 90°, every 10°. A theoretical analysis of the implemented criteria was also carried out and compared to numerical results. The infl uence of the shape of the crack tip on the simulation result was analyzed. It was shown that the simulation results closest to the theoretical results were obtained for the own implementation of the stress-based criteria. It has also been proven that the shape of the crack tip has little eff ect on the result if the fi nite element mesh is properly densifi ed. However, the sharp crack has a disadvantage for small initial crack angles. The Author’s method of predicting the crack propagation has been proven correct and eff ective. This work is also the basis for the further development of the described method.
关键词：X-FEM;fracture mechanics;Abaqus user subroutine;UDMGINI;Griffi th’s crack