Skip to main content
Log in

An analysis of the three-dimensional elastic solid with internal rectangular crack

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

In this paper, the three-dimensional elastic solid with internal rectangular crack is considered. Let the crack surfaces be subjected to the equal and opposite normal tractionsp 0. This problem is reduced by means of Fourier transforms to the standard set of dual integral equations with two variables. Then the formulas of analytic solution of the displacements on the crack surfaces and of the stress-intensity factors of crack border are obtained.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. ъородачев, Н. М., Контактная задача для штампа с прямоуголвным основаным, ПММ. Т. 40, вып. 3, (1976), 554–560.

    Google Scholar 

  2. ъородачэв, Н. М. и Галин, Л А., Контактная задач адля штампа фофноваянем в ыде узкого прямоуголвника. ПММ. Т. 38, вып. 1. (1974), 125–130.

    Google Scholar 

  3. ъейтмен, Х. и Эрдеий, А., Таблицы ицтегралуных преобразований, Т. 1, Hayka (1969).

  4. Канторопич, Л В. и Крылов, В. И.,Approximation Method in Higher Analysis, Part I, (the Chinese Version), Science Publishing House, (1966).

  5. Бейтмен. Г. и Эрдеий. А., Высшие транспендентные Функции. Т. 2 Hayka (1974).

  6. Градштейн. И. С. и. Рыжик. И. М.. Таблицы интегралов. сумм. рядов и произведений. (1971).

  7. Weaver, J., Three-dimensional crack analysis, Int. J. Sol. Struc., 13, (4), (1977), 321–330.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by Tang Ren-ji

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kai, W. An analysis of the three-dimensional elastic solid with internal rectangular crack. Appl Math Mech 3, 217–223 (1982). https://doi.org/10.1007/BF01877657

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01877657

Keywords

Navigation