Draft:Griffith (unit)

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search

The griffith (symbol: Gf) is a proposed non-SI unit of the quantity expressed in pascal–metre to the one-half (Pa·m1/2), used in the context of fracture mechanics to quantify material resistance to crack propagation. The unit was suggested as a tribute to the British mechanical engineer Alan Arnold Griffith (1893–1963), whose pioneering work laid the foundations of modern fracture mechanics.

Definition

[edit | edit source]

The griffith is defined as:

1 Gf=1 Pa⋅m1/2

This unit corresponds to the same dimensions as the classical expression of fracture toughness terms used in linear elastic fracture mechanics (LEFM), where stress-intensity factors are commonly expressed in Pa·m1/2.

Common multiple unit of the griffith is the megagriffith (1 MGf = 106 Gf).

Origin and Proposal

[edit | edit source]

The use of the unit was originally suggested by Pedro Rivero-AntĂșnez et al.,[1], and Prof. C. Ramadas and Mr. A. R. Jadhav [2] as a more intuitive and less cumbersome alternative to the expression Pa·m1/2. Their proposal intended to honour A. A. Griffith’s seminal contributions to the understanding of stress concentration, crack initiation, and brittle fracture.

The first documented proposal of the term griffith in an official international scientific context appears in a 2020 article by Rivero-AntĂșnez et al..[1]. In this work, the authors adopted the designation “griffith” (Gf) for the unit Pa·m1/2 when reporting fracture-related mechanical properties of alumina-based ceramics. According to the authors, their literature search revealed one earlier public discussion on the website iMechanica[2], where the possibility of naming the fracture toughness unit had been debated. Since then, it has been used in some other articles published at international journals [3][4][5]

Historical Background

[edit | edit source]

The unit is named after Alan Arnold Griffith, who introduced the energy-based approach to fracture and established the relationship between crack size, applied stress, and failure in brittle solids. His classical 1921 paper, The Phenomena of Rupture and Flow in Solids, is recognized as one of the foundational works of modern fracture mechanics..[6]

Usage

[edit | edit source]

Although the griffith is not an SI unit and is not formally recognized by standards organizations, it has been proposed as a convenient shorthand within the fracture mechanics community, particularly in scientific publications dealing with the mechanical characterization of brittle materials.

See also

[edit | edit source]

References

[edit | edit source]
  1. ^ a b P. Rivero-AntĂșnez, R. Cano-Crespo, L. Esquivias, N. de la Rosa-Fox, C. Zamora-Ledezma, A. DomĂ­nguez-RodrĂ­guez, V. Morales-FlĂłrez, "Mechanical characterization of sol–gel alumina-based ceramics with intragranular reinforcement of multiwalled carbon nanotubes," Ceramics International, vol. 46, 2020, pp. 19723–19730. https://doi.org/10.1016/j.ceramint.2020.04.285
  2. ^ a b Jadhav, Ajit R. (2007, 6 August). “Naming the SI Unit for Fracture Toughness (KIC)”. iMechanica – the web of mechanics and mechanicians. https://imechanica.org/comment/30363#comment-30363.
  3. ^ P. Rivero-AntĂșnez, R. Cano-Crespo, F. SĂĄnchez-Bajo, A. DomĂ­nguez-RodrĂ­guez, V. Morales-FlĂłrez, "Reactive SPS for sol–gel alumina samples: Structure, sintering behavior, and mechanical properties", Journal of the European Ceramic Society, vol. 41, no. 11, 2021, pp. 5548–5557. https://doi.org/10.1016/j.jeurceramsoc.2021.04.060
  4. ^ P. Rivero-AntĂșnez, V. Morales-FlĂłrez, F. L. Cumbrera, L. Esquivias, "Rietveld analysis and mechanical properties of in situ formed La-ÎČ-Al2O3/Al2O3 composites prepared by sol-gel method", Ceramics International, vol. 48, no. 17, 2022, pp. 24462–24470. https://doi.org/10.1016/j.ceramint.2022.05.058
  5. ^ P. Rivero-AntĂșnez, C. Zamora-Ledezma, F. SĂĄnchez-Bajo, J. C. Moreno-LĂłpez, E. Anglaret, V. Morales-FlĂłrez, "Sol–gel method and reactive SPS for novel alumina–graphene ceramic composites", Journal of the European Ceramic Society, vol. 43, no. 3, 2023, pp. 1064–1077. https://doi.org/10.1016/j.jeurceramsoc.2022.10.043
  6. ^ Griffith, A. A., "The Phenomena of Rupture and Flow in Solids," Philosophical Transactions of the Royal Society A, 221, 1921, pp. 163–198.