About one method of calculating released internal energy in the process of an isolated defect formation

Authors

  • Dunaev V.I. Kuban State University, Krasnodar, Russian Federation

UDC

539.375

EDN

IVIXXD

Abstract

In this work the integrals for the internal energy released in the process of an isolated defect formation were calculated through coefficients of only one complex potential. This complex potential is a segment of a power series, since conformal mapping (exact or approximate) of the unit circle to the plane with a defect is also set with the segment of a power series.

Keywords:

isolated defect, internal energy, conformal mapping

Funding information

Работа выполнена при поддержке РФФИ р2006_юг (проект 08-01-99014).

Author info

  • Vladislav I. Dunaev

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

References

  1. Дунаев И.М., Дунаев В.И. Энергетическое условие разрушения термоупругих твердых тел // Изв. РАН. МТТ. 2003. №6. С. 69-81.
  2. Дунаев В.И., Тугуз Т.К. О влиянии формы изолированного дефекта на макроскопический критерий хрупкого разрушения // Экологический вестник научных центров Черноморского экономического сотрудничества. 2007. №2. С. 46-50.
  3. Мусхелишвили Н.И. Некоторые основные задачи математической теории упругости. М.: Наука, 1966. 707 с.
  4. Каминский А.А. Хрупкое разрушение вблизи отверстий. Киев: Наукова Думка, 1982. 157 с.

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Issue

Pages

19-22

Section

Mechanics

Dates

Submitted

February 21, 2008

Accepted

March 7, 2008

Published

March 28, 2008

How to Cite

[1]
Dunaev, V.I., About one method of calculating released internal energy in the process of an isolated defect formation. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2008, № 1, pp. 19–22.

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