Application of extended element-free Galerkin method to multiple flaws under brittle fracture conditions

Timon Rabczuk, B. Bezensek, S. Bordas

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

The extended element-free Galerkin (XEFG) method incorporates cracks through partition of unity enrichment of the standard basis functions. Discontinuous functions are added to capture the jump through the crack faces and near-front enrichment is added to capture the asymptotic behaviour in the vicinity of the crack fronts. Depending on the material behaviour, these functions can be of various type. The method can treat initiation, growth and coalescence of cracks seamlessly in both linear elastic and non-linear settings. The method is a powerful tool for modelling and studying crack paths, which are a central feature in the assessment of multiple flaws. The method is applied to the problem of multiple non-aligned flaws in a ferritic plate under cleavage failure. Fracture paths from two nonaligned notches in a plate are modelled. Based on the observations of crack paths the critical flaw alignment distance is established for nonaligned through-wall flaws.

Original languageEnglish
Title of host publicationAmerican Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP
Pages1079-1084
Number of pages6
Volume6
EditionPARTS A AND B
DOIs
Publication statusPublished - 2008 Dec 1
Externally publishedYes
EventASME 2008 Pressure Vessels and Piping Conference, PVP2008 - Chicago, IL, United States
Duration: 2008 Jul 272008 Jul 31

Other

OtherASME 2008 Pressure Vessels and Piping Conference, PVP2008
CountryUnited States
CityChicago, IL
Period08/7/2708/7/31

Fingerprint

Brittle fracture
Galerkin methods
Cracks
Defects
Coalescence

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Rabczuk, T., Bezensek, B., & Bordas, S. (2008). Application of extended element-free Galerkin method to multiple flaws under brittle fracture conditions. In American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP (PARTS A AND B ed., Vol. 6, pp. 1079-1084) https://doi.org/10.1115/PVP2008-61550

Application of extended element-free Galerkin method to multiple flaws under brittle fracture conditions. / Rabczuk, Timon; Bezensek, B.; Bordas, S.

American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP. Vol. 6 PARTS A AND B. ed. 2008. p. 1079-1084.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rabczuk, T, Bezensek, B & Bordas, S 2008, Application of extended element-free Galerkin method to multiple flaws under brittle fracture conditions. in American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP. PARTS A AND B edn, vol. 6, pp. 1079-1084, ASME 2008 Pressure Vessels and Piping Conference, PVP2008, Chicago, IL, United States, 08/7/27. https://doi.org/10.1115/PVP2008-61550
Rabczuk T, Bezensek B, Bordas S. Application of extended element-free Galerkin method to multiple flaws under brittle fracture conditions. In American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP. PARTS A AND B ed. Vol. 6. 2008. p. 1079-1084 https://doi.org/10.1115/PVP2008-61550
Rabczuk, Timon ; Bezensek, B. ; Bordas, S. / Application of extended element-free Galerkin method to multiple flaws under brittle fracture conditions. American Society of Mechanical Engineers, Pressure Vessels and Piping Division (Publication) PVP. Vol. 6 PARTS A AND B. ed. 2008. pp. 1079-1084
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