Some Considerations on Stress Intensity Factor at Atomic Scale

Pasquale Gallo*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterScientificpeer-review

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Abstract

This work reviews recent molecular statistics (MS) numerical experiments of cracked samples, and discusses the crack-tip region stress field of ideal brittle materials. Continuum-based linear elastic fracture mechanics, indeed, breaks down at extremely small scale, where the discrete nature of atoms is considered. Surprisingly, recent results have shown that the concept of stress intensity factor (SIF) is still valid. In this work, by means of MS simulations on single-edge cracked samples of ideal brittle silicon, it is shown that the stress intensity factor derived from the virial stress may be useful to describe the fracture at extremely small dimensions and to quantify the breakdown of continuum-based linear elastic fracture mechanics. However, it is still debated whether a continuum-based concept such as the “stress” should be applied to a system made of atoms.

Original languageEnglish
Title of host publicationICTAEM 2020 : Proceedings of the Third International Conference on Theoretical, Applied and Experimental Mechanics
PublisherSPRINGER
Pages319-324
Number of pages6
ISBN (Electronic)978-3-030-47883-4
ISBN (Print)978-3-030-47882-7
DOIs
Publication statusPublished - 1 Jan 2020
MoE publication typeA3 Part of a book or another research book

Publication series

NameStructural Integrity
Volume16
ISSN (Print)2522-560X
ISSN (Electronic)2522-5618

Keywords

  • Atom
  • Crack
  • Stress intensity factor
  • Virial stress

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  • Cite this

    Gallo, P. (2020). Some Considerations on Stress Intensity Factor at Atomic Scale. In ICTAEM 2020 : Proceedings of the Third International Conference on Theoretical, Applied and Experimental Mechanics (pp. 319-324). (Structural Integrity; Vol. 16). SPRINGER . https://doi.org/10.1007/978-3-030-47883-4_57