Abstract
The Wiener-Hopf method is used to find a solution to a symmetric problem that gives a criterion for the onset of growth of long shear cracks emanating from a corner point on the boundary of a hole and filled with a plastic material
Similar content being viewed by others
References
A. M. Danilovich, “Plastic flow near the tips of an arbitrary oriented crack under plane strain, ” Fiz.-Khim. Mekh. Mater., 29, No. 6, 93–96 (1993).
A. A. Kaminsky, L. A. Kipnis, and G. A. Khazin, “Study of the stress state near a corner point in simulating the initial plastic zone by slipbands,” Int. Appl. Mech., 37, No. 5, 647–653 (2001).
A. A. Kaminsky, L. A. Kipnis, and G. A. Khazin, “Analysis of the plastic zone at a corner point by the trident model,” 38, No. 5, 611–616 (2002).
A. A. Kaminsky and S. B. Nizhnik, “Study of the laws governing the change in the plastic zone at the crack tip and characteristics of the fracture toughness of metallic materials in relation to their structure (survey), ” Int. Appl. Mech., 31, No. 10, 777–798 (1995).
A. A. Kaminsky, G. I. Usikova, and E. A. Dmitrieva, “Experimental study of the distribution of plastic strains near a crack tip during static loading,” Int. Appl. Mech., 30, No. 11, 892–897 (1994).
L. A. Kipnis and G. P. Cherepanov, “Application of the choice principle to the problem of initial development of slip lines from a corner point,” Prikl. Mat. Mekh., 53, No. 1, 159–164 (1989).
B. Noble, Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations, Pergamon Press, London (1958).
M. P. Savruk and A. M. Danilovich, “Slip-band propagation at the tip of an edge crack during plastic deformation,” Int. Appl. Mech., 30, No. 1, 48–52 (1994).
Ya. S. Uflyand, Integral Transformations in Elastic Problems [in Russian], Nauka, Moscow-Leningrad (1967).
G. P. Cherepanov, Mechanics of Brittle Fracture, McGraw-Hill, New York (1979).
A. N. Guz, “On two-scale model of fracture mesomechanics of composites with cracks under compression, ” Int. Appl. Mech., 41, No. 5, 582–585 (2005).
A. A. Kaminsky, “Analyzing the laws of stable subcritical growth of cracks in polymeric materials on the basis of fracture mesomechanics models: Theory and experiment,” Int. Appl. Mech., 40, No. 8, 829–846 (2004).
A. A. Kaminsky, L. A. Kipnis, and M. V. Dudik, “Initial development of the prefracture zone near the tip of a crack reaching the interface between dissimilar media,” Int. Appl. Mech., 40, No. 2, 176–182 (2004).
A. A. Kaminsky and G. V. Galatenko, “Two-parameter model of a mode I crack in an elastoplastic body under plane-strain conditions,” Int. Appl. Mech., 41, No. 6, 621–630 (2005).
Author information
Authors and Affiliations
Additional information
__________
Translated from Prikladnaya Mekhanika, Vol. 42, No. 4, pp. 83–90, April 2006.
Rights and permissions
About this article
Cite this article
Kaminsky, A.A., Kipnis, L.A. & Khazin, G.A. A criterion for the onset of growth of two shear cracks in an elastic body under plane-strain conditions. Int Appl Mech 42, 439–446 (2006). https://doi.org/10.1007/s10778-006-0100-5
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10778-006-0100-5