Analysis of Planar Crack Coalescence by Mesh-Free Body Force Method
Autor: | Takuichiro Ino, Giora Shatil, Yohei Sonobe, Akihide Saimoto, Md. Abdul Hasib, Atsuhiro Koyama |
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Rok vydání: | 2017 |
Předmět: |
Coalescence (physics)
Body force Materials science Mechanical Engineering Crack tip opening displacement Fracture mechanics Physics::Classical Physics Crack growth resistance curve Mesh free Physics::Geophysics Condensed Matter::Materials Science Crack closure Planar Mechanics of Materials General Materials Science Composite material |
Zdroj: | Key Engineering Materials. 754:161-164 |
ISSN: | 1662-9795 |
DOI: | 10.4028/www.scientific.net/kem.754.161 |
Popis: | 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. |
Databáze: | OpenAIRE |
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