Two modifications of Jiang criterion for constant amplitude multiaxial loading of AA2124-T851 and SS316L

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O R I G I NA L A RT I C L E

M. Fusek · R. Halama

· D. Lickova

Two modifications of Jiang criterion for constant amplitude multiaxial loading of AA2124-T851 and SS316L

Received: 17 March 2020 / Accepted: 15 August 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020

Abstract The aim of this work is to propose a modification of the Jiang criterion (Jiang in Fatigue Fract Eng Mater Struct 23:19–32, 2000), developed for the general multiaxial loading on our own experimental data gained for the aluminium alloy 2124-T851, currently mostly used in the aviation industry, and the stainless steel 316L under combined loading states in low-cycle fatigue domain. Eight strain loading paths with the constant amplitude cycling were considered for AA2124-T851, including the proportional and non-proportional axialtorsional loading. The proposed generalization of the Jiang criterion leads to the modification of the damage accumulation procedure and is consistent with the original criterion. The comparison of predicted and experimental results shows that the improvement of prediction abilities has been achieved. The new criterion is also more conservative than the original one. There is well-known additional hardening due to non-proportional loading for austenitic stainless steels. Therefore, a new non-proportional parameter has been introduced to achieve more reliable results of predictions for proportional as well as non-proportional loading cases in the case of SS316L. Keywords Low-cycle fatigue · Jiang criterion · Multiaxial loading · SS316L · AA2124-T851 1 Introduction Parts of machines and constructions are often exposed to cyclic loading. With the increasing number of cycles, the accumulation of damage with subsequent fracture occurs. Damage and fracture caused by cyclic loading under multiaxial loading is called a multiaxial fatigue. Based on the statistical data, it can be stated that 80% to 90% of failed mechanical parts and constructions are damaged by fatigue. This fact causes considerable problems of safety, ecological and financial character. Many multiaxial fatigue criteria were developed for a wide range of constructional materials in the last two decades [1]. A traditional approach of the critical plane concept is the most commonly used approach [2]. The literature survey leads to the conclusion that it is difficult to find a universal criterion for general multiaxial loading. One of the most promising solutions was proposed by Jiang in [3]. The Jiang criterion is based on the incremental fatigue damage calculation. It falls into the category of critical plane concept in multiaxial fatigue analysis. The fatigue parameter considers the plastic strain energy and the memory stress as the crucial internal variable for the damage calculation on the critical plane. The main benefit of the criterion is its incremental form. The fatigue parameter of plastic strain energy brings quite simple treatment of the transient effects [4] and variable amplitude loading [5] in the computational fatigue analysis [3]. De