Kinking of a crack emanating from the free surface of a beam under pure bending Article

Levy, C, Perl, M. (1986). Kinking of a crack emanating from the free surface of a beam under pure bending . International Journal of Solids and Structures, 22(12), 1525-1539. 10.1016/0020-7683(86)90060-0

cited authors

  • Levy, C; Perl, M

abstract

  • A perturbation technique developed by Karihaloo et al. is employed to obtain the stress intensity factors at the tip of a kinking crack that emanates from the free surface of a beam under pure bending. Under the condition that the kink extends in the direction of vanishing K11 the crack path is obtained as well as a path stability condition. From conditions on K1 a material parameter r* akin to that of Ramulu and Kobayashi's rc is obtained. By analysis of the slope of the kinking crack a stability condition is obtained corroborating the stability condition from consideration of vanishing K11. It is shown that for a beam in pure bending the nonsingular remote stress term T must be greater than some positive critical value for kinking to occur confirming the results of Sayir and Schindler. © 1986.

authors

publication date

  • January 1, 1986

published in

Digital Object Identifier (DOI)

start page

  • 1525

end page

  • 1539

volume

  • 22

issue

  • 12