TRANSITION THEORY OF SHEET-BENDING

Abstract

Transition theory of elastic-plastic deformation, developed in recent papers, is applied to the plastic bending of a rectangular sheet. No semi-empirical yield condition is assumed. It comes out of the equations. Further, the orthogonality assumption shows that the only possible form when it becomes plastic is circular. The analysis also separates the two regions of yielding under extension and compression, which correspond to the turning points of the non-linear differential equations arising out of the equations of equilibrium. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1962
Accession Number
AD0278737

Entities

People

  • B.r. Seth

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Compression
  • Differential Equations
  • Equations
  • Linear Differential Equations
  • Mathematical Analysis
  • Mathematics
  • Nonlinear Differential Equations
  • Orthogonality
  • Plastic Deformation
  • Transitions

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Materials Science (Mechanical Engineering).