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

Muneo Hori, Kenji Oguni

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)773-786
Number of pages14
JournalMechanics of Materials
Issue number8
Publication statusPublished - 2007 Aug
Externally publishedYes

ASJC Scopus subject areas

  • General Materials Science
  • Instrumentation
  • Mechanics of Materials


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