Engineering Transactions, 59, 4, pp. 273–281, 2011

YIELD CRITERION ACCOUNTING FOR THE THIRD INVARIANT OF STRESS TENSOR DEVIATOR. PART I. PROPOSITION OF THE YIELD CRITERION BASED ON THE CONCEPT OF INFLUENCE FUNCTIONS

M. NOWAK
Institute of Fundamental Technological Research Polish Academy of Sciences

J. OSTROWSKA-MACIEJEWSKA
Institute of Fundamental Technological Research Polish Academy of Sciences

R. B. PĘCHERSKI
Institute of Fundamental Technological Research Polish Academy of Sciences

P. SZEPTYŃSKI
Institute of Fundamental Technological Research Polish Academy of Sciences; AGH University of Science and Technology Faculty of Mechanical Engineering and Robotics Department of Strength, Fatigue of Materials and Structures

A proposition of an energy-based hypothesis of material effort for isotropic materials ex-
hibiting strength-differential (SD) effect, pressure-sensitivity and Lode angle dependence is dis-
cussed. It is a special case of a general hypothesis proposed by the authors in [11] for anisotropic
bodies, based on Burzyński’s concept of influence functions [2] and Rychlewski’s concept
of elastic energy decomposition [16]. General condition of the convexity of the yield surface
is introduced, and its derivation is given in the second part of the paper. Limit condition is
specified for Inconel 718 alloy, referring to the experimental results published by Iyer and
Lissenden.
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