Study of the fracture behavior of different structures by the extended finite element method (X-FEM)

Zagane Mohammed El Sallah , Moulgada Abdelmadjid , Sahli Abderahmane , Baltach Abdelghani , Benouis Ali

Abstract

The fracture mechanics make it possible to characterize the behavior with cracking of structures using parameters quantifiable in the sense of the engineer, in particular the stress field, the size of the crack, and the resistance to cracking of the material. Any structure contains defects, whether they were introduced during the production of the part (machining or molding defects for example). The aim of this work is to determine numerically by the finite element method the stress concentration factor Kt of a plate subjected to a tensile loading containing a lateral form defect with different sizes: a semicircle of different radii, a notch with different opening angles and a crack of different lengths. The crack propagation is then determined using the extended finite element technique (X-FEM). The modeling was carried out using the ABAQUS calculation code.

Key Words

crack; finite element method; stress concentration factor Kt; X-FEM

Address

Zagane Mohammed El Sallah, Moulgada Abdelmadjid — Department of Mechanical Engineering, University of Tiaret, City Zaâroura BP 78, Tiaret 14000, Algeria; Laboratory LMPM, University of Sidi Bel Abbes, BP 89, City Ben Mhidi, SidiBel Abbes 22000, Algeria
Sahli Abderahmane — Laboratory LMPM, University of Sidi Bel Abbes, BP 89, City Ben Mhidi, SidiBel Abbes 22000, Algeria
Baltach Abdelghani — Department of Mechanical Engineering, University of Tiaret, City Zaâroura BP 78, Tiaret 14000, Algeria
Benouis Ali — Laboratory LMPM, University of Sidi Bel Abbes, BP 89, City Ben Mhidi, SidiBel Abbes 22000, Algeria; University of Moulay, TaharSaida, City Ennasr, BP 138 20000 Saïda, Algeria

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