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BRIEF NOTES

On the Accuracy of Benchmark Tables and Graphical Results in the Applied Mechanics Literature

[+] Author and Article Information
J. Helsing

Department of Solid Mechanics and NADA, Royal Institute of Technology, SE-100 44 Stockholm, Sweden e-mail: helsing@nada.kth.se

A. Jonsson

Department of Solid Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden

J. Appl. Mech 69(1), 88-90 (Aug 21, 2001) (3 pages) doi:10.1115/1.1427691 History: Received October 10, 2000; Revised August 21, 2001
Copyright © 2002 by ASME
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References

Figures

Grahic Jump Location
Left, a straight crack outside an inclusion under uniaxial tension. This is the setup of Erdogan, Gupta, and Ratwani 1 corresponding to their Table 3. Right, an arc-shaped crack outside a circular inclusion under biaxial tension. This is the setup of Cheeseman and Santare 2 corresponding to their Fig. 8.
Grahic Jump Location
Normalized mode I stress intensity factors of the setup in Fig. 8 in Cheeseman and Santare 2 (the right image of our Fig. 1) versus dimensionless distance for a circular arc-shaped crack interacting with an inclusion
Grahic Jump Location
Convergence of the stress intensity factor k11 of Erdogan, Gupta, and Ratwani 1 for c=2a in the left image of our Fig. 1. The mesh is uniformly refined. The number of distgretization points is N. Double precision arithmetic is used. The reference value k11=0.8497339474770513 is computed with 592, or more, discretization points in quadruple precision arithmetic. Relative errors smaller than machine epsilon as displayed as 1.11⋅10−16.

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