THE SIGNIFICANCE OF FORMULATING PLASTICITY THEORY WITH REFERENCE TO LOADING SURFACES IN STRAIN SPACE.

After observing that the classical formulation of the theory of elastic-plastic materials relative to loading surfaces in stress space may not be valid in a region such as that corresponding to the neighborhood of ultimate strength (or initiation of necking) in a simple tension test, the present paper deals with an alternative development of constitutive equations for the rate of plastic strain and the rate of work-hardening relative to loading surfaces in strain space. The range of the validity of the results and their significance, in the presence of both finite and infinitesimal deformations, are discussed and certain features of the loading criteria in strain space and their relationships to the corresponding criteria in stress space are noted.

• Supplemental Notes:
  • This work was sponsored by the Office of Naval Research, Structural Mechanics Branch, Arlington, Virginia.
• Corporate Authors:

  University of California, Berkeley

  Department of Mechanical Engineering
  Berkeley, CA  United States  94720-1740
• Authors:
  • Naghdi, P M
  • Trapp, J A
• Publication Date: 1974-11

Media Info

• Features: References;
• Pagination: 28 p.

Subject/Index Terms

• TRT Terms: Plastic deformation; Strain (Mechanics); Structural analysis; Work hardening
• Old TRIS Terms: Strain behavior
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00080060
• Record Type: Publication
• Source Agency: Ship Structure Committee
• Report/Paper Numbers: AM-74-4 Tech Rpt
• Contract Numbers: N00014-69A-0200-1008
• Files: TRIS
• Created Date: May 1 1975 12:00AM