Abstract
When the loading or the geometry of a structure is not symmetrical about the crack axis, rupture occurs in mixed mode loading and the crack does not propagate in a straight line. It is then necessary to use kinking criteria to determine the new direction of crack propagation. The aim of this work is to present a numerical modeling of crack propagation under mixed mode loading conditions. This work is based on the implementation of the displacement extrapolation method in a FE code and the strain energy density theory in a finite element code. At each crack increment length, the kinking angle is evaluated as a function of stress intensity factors. In this paper, we analyzed the mechanical behavior of inclined cracks by evaluating the stress intensity factors. Then, we presented the examples of crack propagation in structures containing inclusions and cavities.
Highlights
The use of crack propagation laws based on Stress Intensity Factors (SIFs) is the most successful engineering application of fracture mechanics
The estimation methods can be categorized into two groups, those based on field extrapolation near the crack tip and those which use the energy release when the crack propagates
This paper aims to determine the SIFs for the crack propagation problem under linear-elastic fracture analysis by means of the displacement extrapolation method implemented in the Ansys finite element program
Summary
Abstract—When the loading or the geometry of a structure is not symmetrical about the crack axis, rupture occurs in mixed mode loading and the crack does not propagate in a straight line. It is necessary to use kinking criteria to determine the new direction of crack propagation. The aim of this work is to present a numerical modeling of crack propagation under mixed mode loading conditions. This work is based on the implementation of the displacement extrapolation method in a FE code and the strain energy density theory in a finite element code. At each crack increment length, the kinking angle is evaluated as a function of stress intensity factors. We analyzed the mechanical behavior of inclined cracks by evaluating the stress intensity factors. We presented the examples of crack propagation in structures containing inclusions and cavities
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