Skip to main content

2025 | OriginalPaper | Buchkapitel

Understanding Brittle Compressive Fracture in Single and Multi-Void Systems via Linear Elastic Stress Fields

verfasst von : Ahmed Ahmed, George Iskander, Mina Iskander, Nigel Shrive

Erschienen in: Proceedings of the Canadian Society for Civil Engineering Annual Conference 2023, Volume 6

Verlag: Springer Nature Switzerland

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Determining compressive fracture behaviour via fundamental fracture mechanics has proven difficult due to analytical complexities. However, recent studies have yielded significant breakthroughs. Linear elastic (LE) KI variation with crack length in uniaxial compression has been found for certain void geometries—the observed KI nonlinearity may independently explain stable compressive crack propagation, a long-outstanding issue. Other authors have also noted that LE stress fields of continua with voids in uniaxial compression have predictive value in crack propagation, but detailed guidelines for stress field interpretations have not yet been proposed. Together, these findings suggest an accurate interpretation of LE stress field components in a fracture context may be a significant step towards describing compressive fracture. Herein, concepts which may prove useful in the interpretation of LE stress fields are proposed. Chief among these concepts is the small flaw geometry assumption, a concept inherent in stress concentration studies that permits the computation of stress intensity factors from LE stress fields. The presented concepts are used to comment on the fracture characteristics of single and multi-void systems. These concepts are also used to provide guidance on determining the zone of influence (ZOI) of a void subjected to a particular distant loading.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat Iskander M, Shrive N (2018) Fracture of brittle and quasi-brittle materials in compression; A review of the current state of knowledge and a different approach. Theoret Appl Fract Mech 97:250–257CrossRefMATH Iskander M, Shrive N (2018) Fracture of brittle and quasi-brittle materials in compression; A review of the current state of knowledge and a different approach. Theoret Appl Fract Mech 97:250–257CrossRefMATH
2.
Zurück zum Zitat Iskander M, Shrive N (2021) On the fracture of brittle and quasi-brittle materials subject to uniaxial compression and the interaction of voids on cracking. Constr Build Mater, 290 Iskander M, Shrive N (2021) On the fracture of brittle and quasi-brittle materials subject to uniaxial compression and the interaction of voids on cracking. Constr Build Mater, 290
3.
Zurück zum Zitat Iskander M, Shrive N (2018) Fracture of brittle materials under uniaxial compression. Procedia Struct Integr 13:976–981CrossRefMATH Iskander M, Shrive N (2018) Fracture of brittle materials under uniaxial compression. Procedia Struct Integr 13:976–981CrossRefMATH
4.
Zurück zum Zitat Iskander M, Shrive N (2020) The effect of the shape and size of initial flaws on crack propagation in uniaxially compressed linear brittle materials. Theor Appl Fract Mech, 109 Iskander M, Shrive N (2020) The effect of the shape and size of initial flaws on crack propagation in uniaxially compressed linear brittle materials. Theor Appl Fract Mech, 109
5.
Zurück zum Zitat Anderson T (2005) Linear elastic fracture mechanics. In Fract Mech: Fundam Appl (3rd Ed), Boca Raton, Taylor & Francis, pp 25–102 Anderson T (2005) Linear elastic fracture mechanics. In Fract Mech: Fundam Appl (3rd Ed), Boca Raton, Taylor & Francis, pp 25–102
6.
Zurück zum Zitat Sakai M, Yoshimura J, Goto Y, Inagaki M (1988) R-Curve behaviour of a polycrystalline graphite: microcracking and grain bridging in the wake region. J Am Ceram Soc 71(8):609–616CrossRefMATH Sakai M, Yoshimura J, Goto Y, Inagaki M (1988) R-Curve behaviour of a polycrystalline graphite: microcracking and grain bridging in the wake region. J Am Ceram Soc 71(8):609–616CrossRefMATH
7.
8.
Zurück zum Zitat Wang E, Shrive N (1993) On the Griffith criteria for brittle fracture in compression. Eng Fract Mech, pp 15–26 Wang E, Shrive N (1993) On the Griffith criteria for brittle fracture in compression. Eng Fract Mech, pp 15–26
9.
Zurück zum Zitat Yuan Y, Lajtai E, Ayari M (1993) Fracture nucleation form a compression-parallel, finite-width elliptical flaw. Int J Rock Mech Min Sci 30(7):873–876CrossRefMATH Yuan Y, Lajtai E, Ayari M (1993) Fracture nucleation form a compression-parallel, finite-width elliptical flaw. Int J Rock Mech Min Sci 30(7):873–876CrossRefMATH
10.
Zurück zum Zitat Rezanezhad M, Lajevardi S, Karimpouli S (2021) Application of equivalent circle and ellipse for pore shape modeling in crack growth problem: A numerical investigation in microscale. Eng Fract Mech, 253 Rezanezhad M, Lajevardi S, Karimpouli S (2021) Application of equivalent circle and ellipse for pore shape modeling in crack growth problem: A numerical investigation in microscale. Eng Fract Mech, 253
11.
Zurück zum Zitat Chen M, Wang H, Jin H, Pan X, Jin Z (2016) Effect of pores on crack propagation behaviour for porous Si3N4 ceramics. Ceram Int 42:5642–5649CrossRefMATH Chen M, Wang H, Jin H, Pan X, Jin Z (2016) Effect of pores on crack propagation behaviour for porous Si3N4 ceramics. Ceram Int 42:5642–5649CrossRefMATH
12.
Zurück zum Zitat Ahmed A, Iskander G, Shrive N (2022) On a universal failure criterion for brittle materials. In: Proceedings of the 2022 CSCE Annual Conference, Whistler Ahmed A, Iskander G, Shrive N (2022) On a universal failure criterion for brittle materials. In: Proceedings of the 2022 CSCE Annual Conference, Whistler
13.
Zurück zum Zitat Rezanezhad M, Lajevardi S, Karimpouli S (2019) Effects of pore-crack relative location on crack propagation in porous media using XFEM method. Theor Appl Fract Mech, 103 Rezanezhad M, Lajevardi S, Karimpouli S (2019) Effects of pore-crack relative location on crack propagation in porous media using XFEM method. Theor Appl Fract Mech, 103
14.
Zurück zum Zitat Rezanezhad M, Lajevardi S, Karimpouli S (2020) Effects of pore(s)-crack locations and arrangements on crack growth modeling in porous media. Theor Appl Fract Mech, 107 Rezanezhad M, Lajevardi S, Karimpouli S (2020) Effects of pore(s)-crack locations and arrangements on crack growth modeling in porous media. Theor Appl Fract Mech, 107
15.
Zurück zum Zitat Boresi A, Schmidt R (2003) Inelastic Material Behaviour,” in Advanced Mechanics of Materials, 6th edn. Wiley, USA, pp 104–147MATH Boresi A, Schmidt R (2003) Inelastic Material Behaviour,” in Advanced Mechanics of Materials, 6th edn. Wiley, USA, pp 104–147MATH
16.
Zurück zum Zitat Pilkey W (1997) Definitions and Design Relations. In: Factors PSC (ed) Second Edition. Wiley, New York, pp 1–58MATH Pilkey W (1997) Definitions and Design Relations. In: Factors PSC (ed) Second Edition. Wiley, New York, pp 1–58MATH
17.
Zurück zum Zitat Kirsch E (1898) Die Theorie der Elastizität und die Bedürfnisse der Festigkeitslehre. Z VerEs DtschEr Inge 42:797–807MATH Kirsch E (1898) Die Theorie der Elastizität und die Bedürfnisse der Festigkeitslehre. Z VerEs DtschEr Inge 42:797–807MATH
18.
Zurück zum Zitat Haddon R (1967) Stresses in an infinite plate with two unequal circular holes. Q J Mech Appl Math 20(3):277–291CrossRefMATH Haddon R (1967) Stresses in an infinite plate with two unequal circular holes. Q J Mech Appl Math 20(3):277–291CrossRefMATH
20.
Zurück zum Zitat Domone P, Illston J (2010) Construction Materials - Their Nature and Behaviour. Spon Press, New YorkCrossRef Domone P, Illston J (2010) Construction Materials - Their Nature and Behaviour. Spon Press, New YorkCrossRef
21.
Zurück zum Zitat Erdogan F, Sih G (1963) On the crack extension in plates under plane loading and transverse shear. J Basic Eng 85:519–525CrossRefMATH Erdogan F, Sih G (1963) On the crack extension in plates under plane loading and transverse shear. J Basic Eng 85:519–525CrossRefMATH
Metadaten
Titel
Understanding Brittle Compressive Fracture in Single and Multi-Void Systems via Linear Elastic Stress Fields
verfasst von
Ahmed Ahmed
George Iskander
Mina Iskander
Nigel Shrive
Copyright-Jahr
2025
DOI
https://doi.org/10.1007/978-3-031-61507-8_18