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It is shown that a decrease in the stress singularity exponent close to the vertex point leads to a decrease in the fatigue crack propagation rate and contributes to a typical curved crack front shape.
We found significant variation of the internal stresses from grain to grain, and their magnitudes descended in the order of vertex point, triple junction, grain boundary and grain cell.
The new characterization methods allow us to not only identify each individual microstructure entity, including grain cell, grain boundary interface, triple junction line and vertex point, but also calculate the interface area, the triple junction length, and the curvature of grain boundary interfaces and triple junction lines.
d: diagonal length in km; i: ith subgraph; (A.lon, A.lat): GPS coordinates of the source vertex (point A); (E.lon, E.lat): GPS coordinates of the target vertex (point E).
It consists of four steps and takes four parameters: d: diagonal length in km; i: ith subgraph; (A.lon, A.lat): GPS coordinates of the source vertex (point A); (E.lon, E.lat): GPS coordinates of the target vertex (point E).
In the following, we provide the encoding/decoding scheme to achieve a vertex point within corresponding to a specific encoding order.
Similar(40)
The high frequency physical critical points contributions, including the stationary phase points, the boundary resonance points and the vertex points are comprehensively studied via the proposed NSDP method.
Furthermore, the contributions of critical points on polygonal domains, including the stationary phase point, resonance and vertex points, are comprehensively studied in terms of the NSDP method.
The microstructure in polycrystalline materials consists of four types of geometric objects: grain cells, grain boundaries, triple junctions and vertex points.
A constitutive theory is developed for an open-cell flexible cellular solid consisting of a network of struts each connecting two vertex points.
In this paper we construct a family of derivatives, which includes the known normal derivative, at vertex points in the graphs that approximate the fractal, and obtain Taylor approximations at these points.
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