Abstract
Abstract The stress-strain state in a hollow decahedral small particle is modeled as that caused by a positive wedge disclination in an elastic hollow sphere. The stress and dilatation distribution in the particle is analyzed in relation to crack nucleation and the particle's catastrophic fracture during chemical etching. A two-stage process of the fracture is suggested, which includes nucleation of initial cracks along twin boundaries around their quintuple junction and subsequent pattern formation in a fivefold star-shaped crack at the junction. The critical sizes of the initial crack and the decahedral small particle at which this two-stage fracture process occurs, are estimated.
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