Skip to main content

2022 | OriginalPaper | Buchkapitel

4. Weight Functions for Center Crack Geometries

verfasst von : Xue-Ren Wu, Wu Xu

Erschienen in: Weight Function Methods in Fracture Mechanics

Verlag: Springer Nature Singapore

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

search-config
loading …

Abstract

In this chapter, standardized analytical weight functions (WFs) for several representative center crack geometries are derived. The derived WFs are verified based on the Green’s functions obtained by using the highly accurate numerical method of “weight function complex Taylor series expansion (WCTSE)”. Closed-form expressions of stress intensity factors (SIFs) for three basic crack line stresses, including point force, power stress and constant stress segment, are derived. Calculated non-dimensional SIFs and crack mouth opening displacements (CMODs) for power stresses are given in tables, allowing rapid determination of SIFs and CMODs for crack line polynomial stresses. Various application examples are presented. Comparisons are made to the available literature data wherever possible. Accurate SIF solutions for center crack geometries associated with various load cases are presented.

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!

Literatur
1.
Zurück zum Zitat Chen XG, Albrecht P (1994) Weight functions for eccentric cracks. In: Fracture mechanics: twenty-fourth volume. ASTM International Chen XG, Albrecht P (1994) Weight functions for eccentric cracks. In: Fracture mechanics: twenty-fourth volume. ASTM International
2.
Zurück zum Zitat Benthem JP, Koiter WT (1973) Asymptotic approximations to crack problems. In: Methods of analysis and solutions of crack problems. Springer, pp 131–178 Benthem JP, Koiter WT (1973) Asymptotic approximations to crack problems. In: Methods of analysis and solutions of crack problems. Springer, pp 131–178
3.
Zurück zum Zitat Wu XR, Carlsson AJ (1991) Weight functions and stress intensity factor solutions. Pergamon Press, Oxford Wu XR, Carlsson AJ (1991) Weight functions and stress intensity factor solutions. Pergamon Press, Oxford
4.
Zurück zum Zitat Wagner D, Millwater H (2012) 2D weight function development using a complex Taylor series expansion method. Eng Fract Mech 86:23–37CrossRef Wagner D, Millwater H (2012) 2D weight function development using a complex Taylor series expansion method. Eng Fract Mech 86:23–37CrossRef
5.
Zurück zum Zitat Jing Z, Wu XR (2015) Wide-range weight functions and stress intensity factors for arbitrarily shaped crack geometries using complex Taylor series expansion method. Eng Fract Mech 138:215–232CrossRef Jing Z, Wu XR (2015) Wide-range weight functions and stress intensity factors for arbitrarily shaped crack geometries using complex Taylor series expansion method. Eng Fract Mech 138:215–232CrossRef
6.
Zurück zum Zitat Wu XR, Tong DH (2018) Evaluation of various analytical weight function methods base on exact K-solutions of an edge-cracked circular disc. Eng Fract Mech 189:64–80CrossRef Wu XR, Tong DH (2018) Evaluation of various analytical weight function methods base on exact K-solutions of an edge-cracked circular disc. Eng Fract Mech 189:64–80CrossRef
7.
Zurück zum Zitat Sneddon IN, Srivastav RP (1963) The stress in the vicinity of an infinite row of collinear cracks. Proc Roy Soc Edinb Sect A Math 67(1):39–49 Sneddon IN, Srivastav RP (1963) The stress in the vicinity of an infinite row of collinear cracks. Proc Roy Soc Edinb Sect A Math 67(1):39–49
8.
Zurück zum Zitat Parker AP, Mason JC, Dugdale DS (1981) Stress intensity factors for an infinite array of collinear cracks subjected to varying pressure. Proc Inst Civ Eng 71(2):543–549 Parker AP, Mason JC, Dugdale DS (1981) Stress intensity factors for an infinite array of collinear cracks subjected to varying pressure. Proc Inst Civ Eng 71(2):543–549
9.
Zurück zum Zitat Wu XR (1984) Approximate weight functions for center and edge cracks in finite bodies. Eng Fract Mech 20(1):35–49CrossRef Wu XR (1984) Approximate weight functions for center and edge cracks in finite bodies. Eng Fract Mech 20(1):35–49CrossRef
10.
Zurück zum Zitat Ince R (2012) Determination of concrete fracture parameters based on peak-load method with diagonal split-tension cubes. Eng Fract Mech 82:100–114CrossRef Ince R (2012) Determination of concrete fracture parameters based on peak-load method with diagonal split-tension cubes. Eng Fract Mech 82:100–114CrossRef
11.
Zurück zum Zitat Ince R (2012) Determination of the fracture parameters of the Double-K model using weight functions of split-tension specimens. Eng Fract Mech 96:416–432CrossRef Ince R (2012) Determination of the fracture parameters of the Double-K model using weight functions of split-tension specimens. Eng Fract Mech 96:416–432CrossRef
12.
Zurück zum Zitat Tada H, Paris P, Irwin G (2000) The analysis of cracks handbook. ASME Press, New York Tada H, Paris P, Irwin G (2000) The analysis of cracks handbook. ASME Press, New York
13.
Zurück zum Zitat Newman JC Jr, Haines MJ (2005) Verification of stress-intensity factors for various middle-crack tension test specimens. Eng Fract Mech 72(7):1113–1118CrossRef Newman JC Jr, Haines MJ (2005) Verification of stress-intensity factors for various middle-crack tension test specimens. Eng Fract Mech 72(7):1113–1118CrossRef
14.
Zurück zum Zitat Fett T, Munz D (1997) Stress intensity factors and weight functions. Computational Mechanics Fett T, Munz D (1997) Stress intensity factors and weight functions. Computational Mechanics
15.
Zurück zum Zitat Yarema SY (1979) Analysis of cracked disk specimens. Eng Fract Mech 12(3):365–375CrossRef Yarema SY (1979) Analysis of cracked disk specimens. Eng Fract Mech 12(3):365–375CrossRef
Metadaten
Titel
Weight Functions for Center Crack Geometries
verfasst von
Xue-Ren Wu
Wu Xu
Copyright-Jahr
2022
Verlag
Springer Nature Singapore
DOI
https://doi.org/10.1007/978-981-16-8961-1_4

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.