Slip lines in any media should represent kinematic lines along which relative displacement of the material is possible. To determine velocity characteristics, equations governing the distribution of velocities must be formulated. Using the two equations for the velocity components in plastic flow, authors derive the differential equation for the isotropic case and for plastic-rigid media, and investigate several velocity equations along the slip lines, then determine the stress and velocity field for the Prandtl problem in anisoptropic media. They concluded that the equilibrium equations and the velocity equations are hyperbolic for the yield function when the second invariant of the stressed state increases linearly with p. In perfectly-plastic-rigid media the velocity characteristics coincide with the stress characteristics. Applications for engineering problems of plane-strain nature may be made using the conventional method of the isotropic case together with the relevant relationships along the characteristics as derived in the paper. /Author/

  • Supplemental Notes:
    • This article is an abstract of a paper that appeared in Journal of Applied Mechanics, June 1974, pp 453-458.
  • Corporate Authors:

    American Society of Mechanical Engineers

    Two Park Avenue
    New York, NY  United States  10016-5990
  • Authors:
    • Livneh, Moshe
  • Publication Date: 1977-4

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Filing Info

  • Accession Number: 00157835
  • Record Type: Publication
  • Report/Paper Numbers: Paper No. 3122
  • Files: TRIS
  • Created Date: Aug 31 1977 12:00AM