Equilibrium state of the internal crack in infinite elastic wedge with the thin coating

Authors

  • Sobol B.V. Don State Technical University, Rostov-on-Don, Russian Federation
  • Rashidova E.V. Don State Technical University, Rostov-on-Don, Russian Federation

UDC

539.3

EDN

WUCSAM

Abstract

The research of stress concentration in the neighborhood of internal crack's tops, which is on a bisector of an infinite elastic wedge, is conducted. The normal efforts are applied to crack's coast for providing her opening. Wedge's sides are supported with a thin flexible coating, free from tension from outer side. Coating influence on an intense and deformable state of a wedge is modelled by a special boundary condition which correctness is confirmed experimentally. Mellin’s integral transformation has allowed to reduce the task to the solution of the singular integrated equation of the first kind with Cauchy's kernel of rather derivative function of crack opening. Solutions of the integral equation constructed by the collocation method. With various combinations of geometric and physical parameters of the problem. The aim of the research was to determine the values of the influence factor - a reduced stress intensity factor in the neighborhood of the crack's tops. Analysis of influences of task's geometrical and physical parameters on size of the studied parameter is carried. In particular, it is established that with increasing the wedge's angle, with unchanged other parameters, the values of the influence factor are increasing; the increasing in the thickness and hardness of the coating leads to a decrease of the influence factor; the increase of the relative crack's length or approaching to wedge's top implies an increase of influence factor. The known special cases of task are considered, their results are compared with available data published.

Keywords:

crack, infinite elastic wedge, thin coating, Mellin’s integral transformation, collocation method, stress intensity factor, influence factor

Authors info

  • Boris V. Sobol

    д-р тех. наук, профессор, заведующий кафедрой информационных технологий Донского государственного технического университета

  • Elena V. Rashidova

    канд. физ.-мат. наук, доцент, профессор кафедры информационных технологий Донского государственного технического университета

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Vol.  (2017) No. 2

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Submitted

April 10, 2017

Accepted

April 27, 2017

Published

June 30, 2017

How to Cite

[1]
Sobol, B.V., Rashidova, E.V., Equilibrium state of the internal crack in infinite elastic wedge with the thin coating. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2017, № 2, pp. 74–85.

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