On analytic solution of uniaxial extension of elasto-plastic rectangular plate

Muneo Hori, Kenji Oguni

研究成果: Article査読

抄録

This paper presents analytic solutions of the uniaxial extension of an elasto-plastic rectangular plate problem; the solutions are for rate fields at the instance when the stress in the plate reaches yield stress. The solutions are obtained by solving an integral equation for a plastic loading parameter, which is equivalent with a boundary value problem for displacement rate. It is shown that the integral equation has multiple solutions when softening is assumed and that the solution that corresponds to a thin shear band is the most realizable among these solutions. The thickness of the shear band is explicitly computed. Although the problem setting of the plate problem is simple, these analytic solutions will serve as a reference to examine numerical analysis methods of elasto-plastic problems.

本文言語English
ページ(範囲)773-786
ページ数14
ジャーナルMechanics of Materials
39
8
DOI
出版ステータスPublished - 2007 8
外部発表はい

ASJC Scopus subject areas

  • Materials Science(all)
  • Instrumentation
  • Mechanics of Materials

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