On reliable solution of plasticity problems

One of problems in plasticity is reliability of constitutive relations. Nowadays plastic properties of materials cannot be described by any equations fully, therefore solutions of plasticity boundary problems are not reliable in many cases. Experimental investigations are not applicable always. Especially it concerns to complex loading processes. Vector representation of plasticity problems by Il'yushin view is one of mode for constructing of approximating equations. By experiments functionals in these relations can be defined for several complex loading processes. For plane processes so type of approximating equations is well known. At plane strain or stress problems spatial curvatures in 3D Frenet frame are occurred. In some cases, for these processes the flattening procedure can be applied. Such path was proposed in this issue.

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