Asymptotic Analysis of Mode II Singular Fields near a Crack Tip in a Hardening Drucker-Prager Elastic-Plastic Material

• SHIMBO Taiki

  Division of Environmental Sci. & Eng., Graduate School of Natural Sci. & Tech., Kanazawa Univ.

• YATOMI Chikayoshi

  Graduate School of Natural Sci. & Tech., Kanazawa Univ.

Bibliographic Information

Other Title

• Ｄｒｕｃｋｅｒ－Ｐｒａｇｅｒ弾塑性体のモードＩＩ型き裂先端近傍特異場の漸近解析
• Drucker-Prager弾塑性体のモード2型き裂先端近傍特異場の漸近解析
• Drucker Prager ダンソセイタイ ノ モード 2ガタ キレツ センタン キンボウ トクイバ ノ ゼンキン カイセキ

Abstract

In the geomechanical studies the mechanism of the shear failure for the Mode II crack extension is still an open problem. As the basic research, the purpose of this paper is, therefore, to obtain the Mode II singular fields near a crack tip.<br>The geomaterials, in general, have a pressure sensitive yield function to yield a dilatant effect. Thus, assuming a proportional loading, we obtain the asymptotic stress and displacement fields for the Mode II crack in the linear hardening Drucker-Prager elastic-plastic material.<br>For the Mode II crack of the Drucker-Prager material, the boundary conditions can not be given on the extension of the crack surface, since the informations of the boundary are unknown : This is due to the loss of symmetry or asymmetry of the displacements and the stresses because of the existence of a parameter of the dilatant effect. Then the boundary conditions for the Mode II crack are given on the crack surfaces ; that is, the jumps of the normal displacement, the normal stress, and the shear stress vanish. As a result, a very small normal stress appears on the crack surfaces. We finally examine the angular distribution of the displacement and stress fields which depend on the hardening parameter and the pressure sensitivity parameter.

Journal

• Journal of the Society of Materials Science, Japan

  Journal of the Society of Materials Science, Japan 57 (9), 936-943, 2008

  The Society of Materials Science, Japan

Keywords

• Dilatant
• Stationary crack
• Asymptotic analysis
• Plane strain condition
• Drucker-Prager elastic-plastic material
• Mode II

Details

• CRID: 1390001205419611136
• NII Article ID: 130002085630
• NII Book ID: AN00096175
• DOI: 10.2472/jsms.57.936
• ISSN: 18807488
• ISSN: 05145163
• NDL BIB ID: 9654026
• Web Site: http://hdl.handle.net/2297/14285
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I9654026
• Text Lang: ja
• Data Source:
  • JaLC
  • IRDB
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed