Fatigue failure criterion of materials with static constitutive curve as the limit value.

• In this paper, the fatigue failure criterion of materials with static constitutive curve as the limit value is proposed, and the fatigue life is dominated by fatigue failure stress–strain in the fatigue envelope surface. • The fatigue state of materials can be described by extending the proposed criterion expression to fatigue state equation, and the analysis results show the monotonic trend. • The fatigue evaluation can be conducted through the value of fatigue state equation or the comparison of fatigue state and fatigue failure envelope surface. The fatigue failure problem actually can be explained by fatigue stress–strain envelope, and the fatigue evaluation based on fatigue stress–strain can avoid the uncertainty of selecting fatigue criteria in engineering applications. However, the application of experimental fatigue envelope criterion based on stress–strain curve is limited to concrete and rocks, and it also can not predict the fatigue failure time. To further develop the availability of fatigue stress–strain envelope criterion, the fatigue failure criterion of materials with static constitutive curve as the limit value is proposed to describe high-cycle and low-cycle fatigue failure through theoretical deduction of classic fatigue criteria and analysis of experimental results. The proposed criterion reveals the constraints mechanism that the fatigue life is dominated by fatigue failure stress–strain in the fatigue envelope surface. Finally, the comparison between calculated and experimental fatigue life indicates that the proposed criterion is suitable to. describe the fatigue failure well and has the comprehensive application prospect. [ABSTRACT FROM AUTHOR]