Elastic-plastic field at the tip of a propagating shear crack
Author:
K. K. Lo
Journal:
Quart. Appl. Math. 40 (1982), 27-36
MSC:
Primary 73M05
DOI:
https://doi.org/10.1090/qam/652047
MathSciNet review:
652047
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Abstract: Asymptotic stress and strain fields are presented for cracks propagating dynamically in incompressible elastic-perfectly plastic materials. Perfect plasticity solutions for stationary cracks are recovered upon setting the velocity of propagation of the crack tip equal to zero. The stress field near the crack tip is found to consist of a combination of uniform and non-uniform stress regions.
L. I. Slepyan, Izv. AN SSR, Mekh. Tver. Tela, 11, 144–153 (1976)
J. D. Achenbach, P. Burgers and V. Dunayevsky, presented at the Winter Meeting of the ASME (1979)
J. W. Hutchinson, JMPS, 16, 337–347 (1968)
L. I. Slepyan, Izv. AN SSR, Mekh. Tver. Tela, 9, 57–67 (1974)
J. R. Rice, W. J. Drugan and T. L. Sham, Proc. 12th Ann. Fract. Mech. May (1979)
L. B. Freund and R. J. Clifton, Elasticity 4, 293 (1974)
J. R. Rice and E. P. Sorensen, JMPS, 26, 163–186 (1978)
C. Y. Hui and H. Riedel, Division of Engineering, Technical Report, Brown University (1979)
I. S. Gradsheteyn and I. M. Ryzhik, Tables of integrals, series and products, Chap. 8, p. 904, Academic Press (1965)
L. I. Slepyan, Izv. AN SSR, Mekh. Tver. Tela, 11, 144–153 (1976)
J. D. Achenbach, P. Burgers and V. Dunayevsky, presented at the Winter Meeting of the ASME (1979)
J. W. Hutchinson, JMPS, 16, 337–347 (1968)
L. I. Slepyan, Izv. AN SSR, Mekh. Tver. Tela, 9, 57–67 (1974)
J. R. Rice, W. J. Drugan and T. L. Sham, Proc. 12th Ann. Fract. Mech. May (1979)
L. B. Freund and R. J. Clifton, Elasticity 4, 293 (1974)
J. R. Rice and E. P. Sorensen, JMPS, 26, 163–186 (1978)
C. Y. Hui and H. Riedel, Division of Engineering, Technical Report, Brown University (1979)
I. S. Gradsheteyn and I. M. Ryzhik, Tables of integrals, series and products, Chap. 8, p. 904, Academic Press (1965)
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Article copyright:
© Copyright 1982
American Mathematical Society
