Energy release rate analysis of crack extension under compressive loads by the X-FEM

• Bingqi Li

  金沢大学大学院21世紀COEポストドクター

• Yatomi Chikayoshi

  金沢大学大学院自然科学研究科

Bibliographic Information

Other Title

• 圧縮荷重下における亀裂進展時のエネルギ解放率のX-FEM解析

Abstract

Using the X-FEM and the path independent E integral, we analyze the energy release rate at the onset of crack kinking for an isotropic linear elastic material in an infinite plate with a centered crack under a uni-axial and two axial compressive loads. In the X-FEM, we propose a simple method in which only the four-node quadrilateral isoperimetric elements in the fractured element are employed without the enrichment by the near-tip asymptotic solution. The friction forces are assumed to follow the Coulomb law, with a slip criterion treated in the context of a standard return mapping algorithm. Consistent linearization of the field equation is performed which leads a fully implicit scheme which preserves asymptotic quadratic convergence of the Newton-Raphson method.

Journal

• Journal of applied mechanics

  Journal of applied mechanics 7 643-653, 2004

  Japan Society of Civil Engineers

Keywords

• X-FEM
• Energy release rate
• E-integral
• Coulomb law
• Return mapping algorithm

Details

• CRID: 1390001205206472448
• NII Article ID: 130004091628
• DOI: 10.2208/journalam.7.643
• ISSN: 1884832X
• ISSN: 13459139
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed