Abstract
This paper deals with both size and shape of plastic zone in the vicinity of the crack edges. Determination of plastic zone is proposed using the three-dimensional finite element analysis. Both, linear elastic and elastic-plastic material models are considered in this paper. Subsequently, results of these approaches are compared and their applicability is evaluated. Geometry considered is a beam with L-shaped cross section containing a crack, as it is described below. Mentioned beam is subjected to mixed mode loading condition, that is represented by variable forces in the direction of global coordinate system. Evolution of plastic zones is observed and evaluated around the crack edges of the profile.
Highlights
At the production stage of structural elements, various material errors and cracks arise, that is natural part of this process
That exhibit plastic deformation exceed the yield point at the stress concentration area resulting in local plastic deformation
In the plastic zone around the crack tip, the stress will be largest, but its amplitude will be limited by the material stress-strain curve
Summary
At the production stage of structural elements, various material errors and cracks arise, that is natural part of this process. It is very important to describe the behavior of structures in real conditions with the presence of various defects or cracks in materials. Considering the linear elastic material, the stress analysis in the vicinity of the crack tip, leads to a stress singularity at r → 0 where the stress tensor components σij → ∞. In the plastic zone around the crack tip, the stress will be largest, but its amplitude will be limited by the material stress-strain curve. For this reason, it is necessary to consider the plastic deformations, when evaluating crack stability
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