J-integral is an effective inelastic fracture parameter for the flaw evaluation of cracked components at high temperature. The evaluation of
J-integral for an arbitrary crack configuration and an arbitrary loading condition can be generally accomplished by detailed numerical analysis such as finite element analysis, however, it is time-consuming and requires a high degree of expertise for its implementation. Therefore, it is important to develop simplified
J-integral estimation techniques from the viewpoint of industrial requirements. In this study, a simplified
J-integral evaluation method is proposed to estimate two types of
J-integral parameters. One is the fatigue
J-integral range to describe fatigue crack propagation behavior, and the other is the creep
J-integral to describe creep crack propagation behavior. This paper presents the systematization of the simplified
J-integral evaluation method incorporated with the reference stress method and the concept of elastic follow-up, and proposes a comprehensive evaluation procedure. The verification of the proposed method is presented in Part II of this paper.
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