Affiliation:
1. Department of Civil Engineering, University of Minnesota, 500 Pillsbury Drive S.E., Minneapolis, MN 55455, USA
Abstract
This paper is a reply to the challenge by Helsing and Jonsson (2002, ASME J. Appl. Mech., 69, pp. 88–90) for other investigators to confirm or disprove their new numerical results for the stress intensity factors for a crack in the neighborhood of a circular inclusion. We examined the same problem as Helsing and Jonsson using two different approaches—a Galerkin boundary integral method (Wang et al., 2001, in Rock Mechanics in the National Interest, pp. 1453–1460) (Mogilevskaya and Crouch, 2001, Int. J. Numer. Meth. Eng., 52, pp. 1069–1106) and a complex variables boundary element method (Mogilevskaya, 1996, Comput. Mech., 18, pp. 127–138). Our results agree with Helsing and Jonsson’s in all cases considered.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference7 articles.
1. Helsing, J., and Jonsson, A., 2002, “On the Accuracy of Benchmark Tables and Graphical Results in the Applied Mechanics Literature,” ASME J. Appl. Mech., 69, pp. 88–90.
2. Wang, J., Mogilevskaya, S. G., and Crouch, S. L., 2001, “A Galerkin Boundary Integral Method for Nonhomogeneous Materials With Cracks,” Rock Mechanics in the National Interest, D. Elsworth, J. Tinucci, and K. Heasley, Balkema, Lisse, The Netherlands, pp. 1453–1460.
3. Mogilevskaya, S. G., and Crouch, S. L., 2001, “A Galerkin Boundary Integral Method for Multiple Circular Elastic Inclusions,” Int. J. Numer. Methods Eng., 52, pp. 1069–1106.
4. Mogilevskaya, S. G.
, 1996, “The Universal Algorithm Based on Complex Hypersingular Integral Equation to Solve Plane Elasticity Problems,” Comput. Mech., 18, pp. 127–138.
5. Erdogan, F., Gupta, G. D., and Ratwani, M., 1974, “Interaction Between a Circular Inclusion and an Arbitrarily Oriented Crack,” ASME J. Appl. Mech., 41, pp. 1007–1013.
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