PLANE STRAIN FORMULATION FOR ELASTIC-PLASTIC BEHAVIOR

The paper presents the development of a solution for a difficulty in the plane strain formulation of elastic- plastic behavior; the problem arising whenever the plastic potential for the soil is specified as a function of all three principal stresses, and this is required in a general formulation. The problem is defined in mathematical terms. To define the plastic strains, the specification of a plastic potential is required. The plastic potential is often taken to be identical to or have the same form as the yield surface. This presentation considers the simplest form of a three-dimensional yield criterion. A simple degenerate axisymmetric formulation is proposed for a case of plane strain by letting the radius become large. Details are given of the axisymmetric situation of a ring load. An alternative procedure is also described. The procedure, in which the difficulties inherent in the elastic-plastic plane-strain analysis are avoided without introducing approximations or numerical inaccuracies, may be used independent of the particular yield criterion or plastic potential used in the formulation.

• Availability:
  • Find a library where document is available. Order URL: http://worldcat.org/oclc/3519342
• Corporate Authors:

  American Society of Civil Engineers

  345 East 47th Street
  New York, NY  United States  10017-2398
• Authors:
  • PREVOST, J H
  • Hoeg, K
• Publication Date: 1975-1

Media Info

• Features: Appendices; Figures; References;
• Pagination: p. 91-96
• Serial:
  • Journal of Geotechnical and Geoenvironmental Engineering
  • Volume: 100
  • Issue Number: GT1
  • Publisher: American Society of Civil Engineers
  • ISSN: 1090-0241
  • Serial URL: http://ojps.aip.org/gto

Subject/Index Terms

• TRT Terms: Electric potential; Formulations; Mechanical elasticity; Mechanical strain; Plasticity; Stresses
• Uncontrolled Terms: Criteria; Plane strain; Potential
• Old TRIS Terms: Axisymmetric systems; Elastic phenomena; Yield
• Subject Areas: Geotechnology; Highways;

Filing Info

• Accession Number: 00081408
• Record Type: Publication
• Report/Paper Numbers: Proc. Paper 11040 Tech. Note
• Files: TRIS
• Created Date: Mar 26 1975 12:00AM