Analysis of Planar Crack Coalescence by Mesh-Free Body Force Method

Abstract:

In a standard body force method analysis, a mesh division is required to define the boundary of a problem and to solve a governing equation using discretization procedure. However, in the present study, a moving least square strategy is introduced to define a weight function for the density of body force doublet and therefore a crack analysis is carried out without providing a standard mesh-division. Hence, the standard crack face elements are not required at all. A variety of 3D crack problems can be analyzed simply by providing a data that only de nes a crack front. Besides the nodal points for crack front, several internal nodes are generated on the crack face to represent a distribution of unknown function. At the internal nodes, an unknown variable is assigned which uniquely de ne a distribution of the relative crack face displacement. In the present approach, a crack problem is formulated as a singular integral equation whose unknown is a value of the weight function at the internal nodal points. A crack growth can be simulated directly by changing the shape of crack front, by means of adding a new nodal point in the vicinity of the current crack front. In the present paper, the proposed method is used to simulate a coalescence of interacting planar cracks.

• Periodical: Key Engineering Materials (Volume 754)
• Pages: 161-164
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.754.161
• Online since: September 2017
• Authors: Yohei Sonobe, Takuichiro Ino, Akihide Saimoto, Md. Abdul Hasib, Atsuhiro Koyama, Giora Shatil
• Keywords: Body Force Method, Crack Coalescence, Crack Propagation, Mesh-Free Method

References

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