Simulation of ratcheting strain to a high number of cycles under biaxial loading

Ratchetting strain prediction

“…Fig. 5 shows the same curve for S45C [3], obtained by a similar procedure. These curves possess a linear trend which, in turn, gives constants K 00 and n 00 .…”

“…Fig. 2 compares the introduced model's prediction and the experimental stabilized stressstrain hysteresis loop of strain-controlled uniaxial loading with strain amplitude of e a ¼ 1% for St 1070 [19] and S45C [3]. The close prediction of the hysteresis suggests precise modeling of the cyclic stress-strain curve used in this study.…”

“…where DðM ijðzÞ Þ is the change of the zth part of M ij in DN cycles, and M f ijðzÞ ¼ r z S M ij 0or z o1 with Constants c z and r z are determined by using existing methods (Jiang [20] or Chen et al [3])…”

“…In this section four multiaxial loadings are considered, and the results are compared with experimental results of Chen et al [3] on S45C. The ratchetting predicted by the proposed method under biaxial loading is compared with experimental data for four load cases, as shown in Figs.…”

A simple constitutive model for ratcheting evolution of 63Sn-37Pb solder under multiaxial loading

“…The ratcheting deformation can contribute to the material damage and reduce the fatigue life of solder. Although many researchers, including Chaboche and Nouailhas, 2,3 McDowell, 4 Hassan and Kyriakodes, 5,6 Jiang and Schitoglu, 7 Ohno and Wang, 8,9 and Chen et al, [10][11][12][13] have reported experimental results of uniaxial and multiaxial ratcheting for various materials, and the art of modeling the ratcheting behavior has already made significant advances in thep ast two decades, studies of the ratcheting behavior of eutectic solder are rare.…”