About the impact of the form of an isolated defect on macroscopic criteria of brittle fracture

Authors

  • Dunaev V.I. Kuban State University, Krasnodar, Российская Федерация
  • Tuguz T.K. Kuban State University, Krasnodar, Российская Федерация

UDC

539.375

Abstract

It has been shown in the paper that the orientation of a crack during its formation may depend on the initial form of a previously formed defect. For the model of an astroid-form defect (e.g. pores in polycrystallin ceramics), it has been found out that under uniaxial compression of a plate the crack is oriented at an angle of 45 degrees to the line of the force action. Thus, the limiting curve of fracture has an ellipse form in the space of main stresses and represents the special case of a limiting curve obtained during formation of an ellipse-form defect.

Author Infos

Vladislav I. Dunaev

канд. физ.-мат. наук, доцент кафедры численного анализа Кубанского государственного университета

Timur K. Tuguz

студент факультета прикладной математики Кубанского государственного университета

References

  1. Дунаев И.М., Дунаев В.И. Энергетическое условие разрушения термоупругих твёрдых тел // Изв. РАН. МТТ. 2003. №6. С. 69-81.
  2. Dunaev I.M., Dunaev V.I. Thermomechanics of Brittle Fracture // Int. J. of Fracture. 2004. Vol. 128. P. 81-93.
  3. Dunaev I.M., Dunaev V.I. Analysis of thermodynamic conditions for brittle fracture // J. Comptes Rendus Mecanique Academie des sciences. Elsevier. 2004. Vol. 332. P. 789-794.
  4. Мусхелишвили Н.И. Некоторые основные задачи математический теории упругости. М.: Наука, 1966. 707 с.
  5. Панасюк В.В. Предельное равновесие хрупких тел с трещинами. Киев. Наукова думка, 1968. 246 с.

Issue

Section

Mechanics

Pages

46-50

Submitted

2007-05-25

Published

2007-06-30

How to Cite

Dunaev V.I., Tuguz T.K. About the impact of the form of an isolated defect on macroscopic criteria of brittle fracture. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2007, no. 2, pp. 46-50. (In Russian)