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Exact ilyushin yield surface

1993; Elsevier BV; Volume: 30; Issue: 8 Linguagem: Inglês

10.1016/0020-7683(93)90006-s

1879-2146

C. J. Burgoyne, M.G. Brennan,

Fatigue and fracture mechanics

The approximate Ilyushin yield surface is widely used in structural calculations to represent full plasticity in stress-resultant space. The exact version of the surface has not been used, because the parametric form in which it was described by Ilyushin was not amenable to calculation. This paper presents a reparametrization of the Ilyushin yield criterion for thin plates which produces a simpler (though still exact) form which is suitable for use in practical formulations. A method is outlined by which the exact Ilyushin yield criterion can be used in such calculations, without the need to use approximate yield functions. A method for calculating positions on the surface corresponding to a linear multiple of any set of stress-resultants is presented. Various features of the exact yield surface are described.