New method of analysis of three-dimensional crack problems (1st report, basic theory and applications to infinite body problems)

Makoto Isida, Hideto Tsuru, Hiroshi Noguchi

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

In this paper, a new method of analysis is proposed for an infinite solid containing an embedded plane crack of arbitrary shape. The analysis is fundamentally based on the body force method, but proper expressions of the body force densities are introduced and the stress conditions of the crack surface are replaced by the resultant force conditions in order to improve the accuracy and validity. Numerical results for typical crack problems based on coarse mesh patterns are shown to be in good agreement with the known solutions. The method is also applied to the bending problem of circular and rectangular cracks regarding the surface contact on the compression side, the reliable solutions of which have been unattainable using the previous methods. The obtained results are found to be very different from the conventional free surface solutions.

Original languageEnglish
Pages (from-to)86-94
Number of pages9
JournalNihon Kikai Gakkai Ronbunshu, A Hen/Transactions of the Japan Society of Mechanical Engineers, Part A
Volume59
Issue number561
Publication statusPublished - May 1993

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Cracks
Contacts (fluid mechanics)
Compaction

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

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abstract = "In this paper, a new method of analysis is proposed for an infinite solid containing an embedded plane crack of arbitrary shape. The analysis is fundamentally based on the body force method, but proper expressions of the body force densities are introduced and the stress conditions of the crack surface are replaced by the resultant force conditions in order to improve the accuracy and validity. Numerical results for typical crack problems based on coarse mesh patterns are shown to be in good agreement with the known solutions. The method is also applied to the bending problem of circular and rectangular cracks regarding the surface contact on the compression side, the reliable solutions of which have been unattainable using the previous methods. The obtained results are found to be very different from the conventional free surface solutions.",
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AU - Tsuru, Hideto

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N2 - In this paper, a new method of analysis is proposed for an infinite solid containing an embedded plane crack of arbitrary shape. The analysis is fundamentally based on the body force method, but proper expressions of the body force densities are introduced and the stress conditions of the crack surface are replaced by the resultant force conditions in order to improve the accuracy and validity. Numerical results for typical crack problems based on coarse mesh patterns are shown to be in good agreement with the known solutions. The method is also applied to the bending problem of circular and rectangular cracks regarding the surface contact on the compression side, the reliable solutions of which have been unattainable using the previous methods. The obtained results are found to be very different from the conventional free surface solutions.

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