Research Papers: Design and Analysis

A Numerical Study on CMOD Compliance for Single-Edge Notched Bending Specimens

[+] Author and Article Information
Enyang Wang

Department of Civil
and Environmental Engineering,
Western University,
1151 Richmond Street,
London, ON N6A 5B9, Canada
e-mails: ewang@altfuelcont.com;

Wenxing Zhou

Department of Civil
and Environmental Engineering,
Western University,
1151 Richmond Street,
London, ON N6A 5B9, Canada
e-mail: wzhou@eng.uwo.ca

Guowu Shen

CANMET Materials Technology Laboratory,
Natural Resources Canada,
183 Longwood Road South,
Hamilton, ON L8P 0A5, Canada
e-mail: Guowu.Shen@nrcan-rncan.gc.ca

Daming Duan

TransCanada Pipeline Limited,
450 1st Street, SW,
Calgary, AB T2P 5H1, Canada
e-mail: da-ming_duan@transcanada.com

1Corresponding author.

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received August 7, 2012; final manuscript received September 3, 2015; published online October 8, 2015. Assoc. Editor: Hardayal S. Mehta.

J. Pressure Vessel Technol 138(2), 021204 (Oct 08, 2015) (6 pages) Paper No: PVT-12-1122; doi: 10.1115/1.4031546 History: Received August 07, 2012; Revised September 03, 2015

Several well-known equations for estimating the crack length in the single-edge notched bending (SE(B)) specimens from the normalized crack mouth opening displacement (CMOD) compliance are evaluated based on two-dimensional (2D) and three-dimensional (3D) finite element analyses (FEAs). Two-dimensional FEAs are first carried out to verify the reported accuracy and applicable ranges for each equation based on the plane strain models with six different crack lengths. Three-dimensional FEAs are then carried out to estimate the errors of prediction of equations that evaluate the crack length from the plane stress- and plane strain-based CMOD compliances. Both plane-sided and side-grooved models are included in 3D FEAs and have seven different thickness-to-width ratios. The error of prediction of a given equation is largely impacted by the thickness-to-width ratio, the crack length, the presence of side grooves, and the use of the plane stress- or plane strain-normalized CMOD compliance. Based on the errors of prediction, the relevance of the actual state of stress in the ligament of the SE(B) specimens to the plane strain condition or the plane stress condition is inferred. Knowledge of the relevance of the plane stress condition or the plane strain condition can be used to select the corresponding CMOD compliance in crack length-CMOD equations, and, therefore, the corresponding predictive accuracy can be improved.

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Grahic Jump Location
Fig. 1

A quarter symmetric SE(B) specimen: (a) geometry and FE mesh of SE(B) specimens and (b) FE mesh around crack tip

Grahic Jump Location
Fig. 2

Plain-sided 3D models: (a) prediction based on BCE and (b) prediction based on BCE

Grahic Jump Location
Fig. 3

Side-grooved 3D models: (a) prediction based on BeCE and (b) prediction based on BeCE′




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