The author of this paper discusses a family of invariant stress surfaces with a cubic dependence on the deviatoric stress components, which is expressed as a linear combination of the second and third deviatoric stress invariants. The general format is described as two functions of the mean stress. A simple geometric derivation illustrates the convexity of the contours in the deviatoric plane. Size and shape parameters provide an explicit representation of the deviatoric contours. The shape parameter effects a continuous transition from a triangle to a circle in the deviatoric plane. An explicit format in relation to triaxial compression and tension generators is derived, and the plane stress contour is given in explicit form. Previously proposed failure and yield criteria are studied as special cases.


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  • Accession Number: 00719320
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Mar 24 1996 12:00AM