Journal of Theoretical
and Applied Mechanics

55, 3, pp. 869-881, Warsaw 2017
DOI: 10.15632/jtam-pl.55.3.869

A new automated stretching finite element method for 2D crack propagation

Mohammed Bentahar, Habib Benzaama, Mohamed Bentoumi, Mohamed Mokhtari
This work presents a study of crack propagation with a new 2D finite element method with
the stretching of the mesh. This method affects at each propagation step new coordinates of
each element node of the mesh. The structure is divided to areas and each area has its own
coordinate formulas. A program in FORTRAN allows us to create a parametric mesh, which
keeps the same number of nodes and elements during different steps of crack propagation.
The nodes are stretched using the criterion of maximum circumferential stress (MCS). The
fracture parameters such as stress intensity factors in modes I and II and the orientation
angles are calculated by solving the problem by the finite element code ABAQUS.
Keywords: 2D crack propagation, FEM, stretching finite element method (SFEM), stress intensity factor (SIF)