A mechanistic model for the effect of stress ratio on the LEFM fatigue crack growth behavior of metals and alloys-II. Crack-brittle materials

Abstract

A recently proposed mechanistic model for the effect of stress ratio, R, on the LEFM (long) fatigue crack growth behavior of "crack-ductile" materials is extended here to explain and predict similar behavior under similar conditions of "crack-brittle" materials characterised by the presence of "static" modes of fatigue fracture in stages II and III. It is shown that in these materials the stage I behavior is similar, but the stages II and III behave differently from crack-ductile materials. Mechanism-based existence of two types of stage II curves characterised respectively by " pure shear mode " (SM-II) and "mixed-mode" (MM-II), both plotting linear but having different slopes, is introduced. It is shown that while stage SM-II is insensitive, stage MM-II is significantly sensitive to R, in the same material. Similar to stage I, another " moving pivot-point " exists at the transition from SM-II to MM-II, which slides down the " master shear-curve " with increasing R. Assuming a critical Kmax for the initiation of static modes, a critical R for saturation of these modes, and Paris-type growth relations, a quantitative predictive model containing growth equations for stages SM-II and MM-II, has been developed. Stage III is discussed only qualitatively. Reasonably good agreement was found between predicted curves at selected R-values and a relatively large volume of experimental data for steels, Al-alloys and Ti-alloys. This simple, alternative model may be used for obtaining quick, fairly accurate and conservative estimates of R-influenced crack growth rates for design applications in preference to crack-closure which frequently requires elaborate and tedious experimental procedures. © 1994.