Spot–Ladder Selection of Dislocation Patterns in Metal Fatigue

Autor: Hiroyuki Shima, Yoshitaka Umeno, Takashi Sumigawa
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Symmetry, Vol 15, Iss 5, p 1028 (2023)
Druh dokumentu: article
ISSN: 2073-8994
32433964
DOI: 10.3390/sym15051028
Popis: Spontaneous pattern formation by a large number of dislocations is commonly observed during the initial stages of metal fatigue under cyclic straining. It was experimentally found that the geometry of the dislocation pattern undergoes a crossover from a 2D spot-scattered pattern to a 1D ladder-shaped pattern as the amplitude of external shear strain increases. However, the physical mechanism that causes the crossover between different dislocation patterns remains unclear. In this study, we theorized a bifurcation diagram that explains the crossover between the two dislocation patterns. The proposed theory is based on a weakly nonlinear stability analysis that considers the mutual interaction of dislocations as a nonlinearity. It was found that the selection rule among the two dislocation patterns, “spotted” and “ladder-shaped”, can be described by inequalities with respect to nonlinearity parameters contained in the governing equations.
Databáze: Directory of Open Access Journals
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