Quantitative Assessment and Analysis of Non-Masing Behavior of Materials under Fatigue

A comprehensive review and analysis of Masing/non‐Masing behavior of materials under fatigue

“…However, in the case of non‐Masing behavior, the shape of the plot was nonlinear or bilinear on a log–log plot 23 . Many researchers investigated hysteresis loops of materials showing non‐Masing response 6,12,16 . Jhansale and Topper (1971) 10 proposed a method of master curve formation by translating each loop along the linear elastic portions to coincide with the loading branches of stable hysteresis loops at different strain amplitudes (Figure 3A).…”

“…In 1984, Ellyin and Kujawski 6 extended the master curve approach 10 and proposed a relationship to calculate the CPSED for the non‐Masing (Type‐I) behavior of the material. Yadav et al 12 proposed a new model and further extended the applicability of CPSED to non‐Masing (Type‐II) behavior. The summary of the historical development of Masing/non‐Masing behavior is listed briefly in Table 1.…”

“…Although unwanted, the evaluation or quantification of the degree of non‐Masing (deviation from Masing behavior) is an important step forward. As of now, four methods, namely, (i) Bauschinger strain method, 40,44 (ii) Probability density function (PDF) method, 109 (iii) change in proportional stress limit method, 10 and (iv) CPSED method, 12 are available in the open literature to analyze the cyclic stress–strain hysteresis loop data for assessing or quantifying the extent of non‐Masing response. These methods have been summarized below, along with their limitations while implementing those in practical application.…”

“…During fatigue, the material absorbs a certain amount of energy represented by the area within the hysteresis loops, called the cyclic plastic strain energy density (CPSED) 6 . In the literature, many researchers have made efforts to use the estimate of the area within the hysteresis loop of stabilized cycles at different strain amplitudes to describe the Masing/non‐Masing behavior 6,12 . For Masing behavior, owing to the microstructural stability, the CPSED varies in a slightly nonlinear manner with strain amplitude (Figure 5).…”

“…The plots are generated by extracting the data for LY225 steel, 25 BLY160 steel, 14 and AISI 321 SS 13 . The data for Masing behavior were obtained by constructing the hysteresis loops for an idealized Masing behavior of the materials, as discussed in the article 12 . [Colour figure can be viewed at wileyonlinelibrary.com]…”