Journal of Structural and Construction Engineering

Journal of Structural and Construction Engineering

Linear and curvature internal heterogeneous boundaries influences on mixed mode crack propagation using level set method

Document Type : Original Article

Author
Assistant Professor, Faculty of Civil Engineering, Shahid Chamran University, Ahvaz, Iran
Abstract
Interactive crack-internal heterogeneous boundaries have been of a great concern to researchers and engineers. Extended finite element method (X-FEM) has recently emerged as an approach to implicitly create a discontinuity based on discontinuous partition of unity enrichment (PUM) of the standard finite element approximation spaces. The extended finite element method (X-FEM) in the combination with level set method (LSM) has been utilized. In this contribution, predefined cracks and internal boundaries are created without meshing the internal boundaries. Soft/hard circular inclusions (interfaces), voids and linear interfaces are considered as internal discontinuities. In addition, the stress intensity factors for mixed mode crack problems are numerically calculated by using interaction integral approach. The interaction integral method is based on the path independent J-integral. The 4-noded rectangular element is considered to discretize the assumed plates. The effects of shape, size and schemes of internal boundary distributions are numerically simulated. The results are shown that the crack paths are attracted to soft internal boundaries and move away from the hard internal boundaries. Also, the influences of internal voids are much more than inclusions. In addition, the linear internal interface has affected the crack growth paths entirely and is created a complicate crack path. All numerical examples are demonstrated the flexibility and capabilities of X-FEM in the applied fracture mechanics
Keywords

Subjects


[1] Sukumar, N. Chopp, D L. Moran, B. (2003). Extended finite element method and fast marching method for three-dimensional fatigue crack propagation.Engineering Fracture Mechanics, 70(1), 29-48.
[2] Sukumar, N. Chopp, D L. Moës, N. Belytschko, T. (2001). Modeling holes and inclusions by level sets in the extended finite-element method.Computer Methods in Applied Mechanics and Engineering, 190(46–47), 6183-6200.
[3] Naderi, R. Khademalrasoul, A. (2015). Fully Automatic Crack Propagation Modeling in Interaction with Void and Inclusion without Remeshing.Modares Mechanical Engineering, 15(7), 261-273.
[4] Adalsteinsson, D. Sethian, J A. (1995).A Fast Level Set Method for Propagating Interfaces.Journal of Computational Physics, 118(2), 269-277.
[5] Osher, S.and Fedkiw, R. (2003).Level Set Methods and Dynamic Implicit Surfaces. Springer.
[6] Bordas, S. Nguyen, P V. Dunant, C. Guidoum, A. Nguyen-Dang, H. (2007). An extended finite element library. International Journal for Numerical Methods in Engineering, 71(6), 703-732.
[7] Moës, N. Belytschko, T. (2002). Extended finite element method for cohesive crack growth.Engineering Fracture Mechanics, 69(7), 813-833.
[8] Gdoutos, E E. (2005). Fracture Mechanics: An Introduction.Springer.
[9] Belytschko, T. Black, T. (1999). Elastic crack growth in finite elements with minimal remeshing. International Journal for Numerical Methods in Engineering, 45(5), 601-620.
[10] Banks-Sills, L. Hershkovitz, I. Wawrzynek, P A. Eliasi, R. Ingraffea, A R. (2005). Methods for calculating stress intensity factors in anisotropic materials: Part I—z=0 is a symmetric plane.Engineering Fracture Mechanics, 72(15), 2328-2358.
Volume 4, Issue 3 - Serial Number 13
December 2017
Pages 42-54

  • Receive Date 15 November 2016
  • Revise Date 20 April 2017
  • Accept Date 13 May 2017