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2020 | OriginalPaper | Chapter

Some Considerations on Stress Intensity Factor at Atomic Scale

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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.

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Literature
1.
go back to reference Kitamura, T., Sumigawa, T., Shimada, T., Van Lich, L.: Challenge toward nanometer scale fracture mechanics. Eng. Fract. Mech. 187, 33–44 (2018)CrossRef Kitamura, T., Sumigawa, T., Shimada, T., Van Lich, L.: Challenge toward nanometer scale fracture mechanics. Eng. Fract. Mech. 187, 33–44 (2018)CrossRef
2.
go back to reference Kitamura, T., Sumigawa, T., Hirakata, H., Shimada, T.: Fracture Nanomechanics, 2nd edn. Pan Stanford Publishing, Singapore (2016)CrossRef Kitamura, T., Sumigawa, T., Hirakata, H., Shimada, T.: Fracture Nanomechanics, 2nd edn. Pan Stanford Publishing, Singapore (2016)CrossRef
7.
go back to reference Shimada, T., Kitamura, T.: Fracture mechanics at atomic scales. In: Altenbach, H., Matsuda, T., Okumura, D. (eds.) Advanced Structured Materials, pp. 379–396. Springer International Publishing, Cham (2015) Shimada, T., Kitamura, T.: Fracture mechanics at atomic scales. In: Altenbach, H., Matsuda, T., Okumura, D. (eds.) Advanced Structured Materials, pp. 379–396. Springer International Publishing, Cham (2015)
11.
go back to reference Gallo, P., Sumigawa, T., Shimada, T., Yan, Y., Kitamura, T.: Investigation into the breakdown of continuum fracture mechanics at the nanoscale: synthesis of recent results on silicon. In: Gdoutos, E.E. (ed.) Proceedings of the First International Conference on Theoretical, Applied and Experimental Mechanics, pp. 205–210. Springer International Publishing, Cham (2019) Gallo, P., Sumigawa, T., Shimada, T., Yan, Y., Kitamura, T.: Investigation into the breakdown of continuum fracture mechanics at the nanoscale: synthesis of recent results on silicon. In: Gdoutos, E.E. (ed.) Proceedings of the First International Conference on Theoretical, Applied and Experimental Mechanics, pp. 205–210. Springer International Publishing, Cham (2019)
26.
go back to reference Irwin, G.R.: Linear fracure mechanics, fracture transition, and fracture control. Eng. Fract. Mech. 1(2), 241–257 (1968)CrossRef Irwin, G.R.: Linear fracure mechanics, fracture transition, and fracture control. Eng. Fract. Mech. 1(2), 241–257 (1968)CrossRef
27.
go back to reference Irwin, G.R.: Analysis of stresses and strains near the end of a crack traversing a plate. J. Appl. Mech. 24, 361–364 (1957) Irwin, G.R.: Analysis of stresses and strains near the end of a crack traversing a plate. J. Appl. Mech. 24, 361–364 (1957)
Metadata
Title
Some Considerations on Stress Intensity Factor at Atomic Scale
Author
Pasquale Gallo
Copyright Year
2020
DOI
https://doi.org/10.1007/978-3-030-47883-4_57

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