On the interior stress problem for elastic bodies

Journal of Applied Mechanics, Transactions ASME

Volumn 67, Issue 4, 2000, Pages 658-662

  Helsing, J ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000256744     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.1327251     Document Type: Article

References (13)

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2. Muskhelishvili, N. I., 1953, Some Basic Problems of the Mathematical Theory of Elasticity, P. Noordhoff, Ltd., Groningen.
3. Sokolnikoff, I. S., 1956, Mathematical Theory of Elasticity, McGraw-Hill, New York.
4. Mikhlin, S. G., 1957, Integral equations, Pergamon Press, London.
5. Parton, V. Z., and Perlin, P. I., 1982, Integral Equation Methods in Elasticity, MIR, Moscow.
6. Lauricella, G., 1909, “Sur l’Integration de l’Equation Relative a l’Equilibre des Plaques Elastiques Encastrees,” Acta Math., 32, pp. 201-256.
7. Greenbaum, A., Greengard, L., and Mayo, A., 1992, “On the Numerical Solution of the Biharmonic Equation in the Plane,” Physica D, 60, pp. 216-225.
8. Greengard, L., Kropinski, M. C., and Mayo, A., 1996, “Integral Equation Methods for Stokes Flow and Isotropic Elasticity in the Plane,” J. Comput. Phys., 125, pp. 403-414.
9. Strandberg, M., 1999, “A Numerical Study of the Stress Fields Arising From Sharp and Blunt V-Notches in a SENT-Specimen,” Int. J. Fract., in press.
10. Saad, Y., and Schultz, M. H., 1986, “GMRES: A Generalized Minimum Residual Algorithm for Solving Nonsymmetric Linear Systems,” SIAM J. Sci. Stat. Comput., 7, pp. 856-869.
11. Kahan, W., 1965, “Further Remarks on Reducing Truncation Errors,” Commun. ACM, 8, p. 40.
12. Higham, N. J., 1996, Accuracy and Stability of Numerical Algorithms, SIAM, Philadelphia, PA, pp. 92-97.
13. Helsing, J., and Jonsson, A., 1999, “Elastostatics for Plates With Holes,”Department of Solid Mechanics KTH report 99-250.