PSI - Issue 43

Atri Nath et al. / Procedia Structural Integrity 43 (2023) 246–251 Author name / Structural Integrity Procedia 00 (2022) 000 – 000

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Table 2: The optimized parameters obtained for the investigated materials using the suggested methodology Materials Elastic Parameters Cyclic plastic parameters Isotropic hardening Kinematic hardening

C i=1,2,3,4 (MPa) = 375754.9 , 15178.7 , 3068.6, 78792.9 γ i=1,2,3,4 = 21902.3 , 279.1 , 14.3 , 4666.6 a 4 = 21.4 MPa C i=1,2,3,4 (MPa) = 129261.5 , 23275 , 2724.8 , 4217.2 γ i=1,2,3,4 = 2397.8 , 284.3 , 10.8 , 3090.9 a 4 =16.6 MPa C i =1,2,3,4 (MPa) = 192694.5 , 22986.6 , 73.2 , 7437.6 γ i =1,2,3,4 = 16250.3 , 1296.8 , 0.2 , 2139.5 a 4 = 32.8 MPa C i =1,2,3,4 (MPa) = 79404.4 , 13311.4 , 565.9 , 87677.2 γ i =1,2,3,4 = 5682.8 , 461.9 , 0.43 , 2739.5 a 4 = 39.4 MPa C i =1,2,3,4 (MPa) = 350531.7 , 80862.8, 1748.5, 28362.9 γ i =1,2,3,4 = 14731.6 , 935.4 , 0.83 , 665.1 a 4 = 234.8 MPa C i =1,2,3,4 (MPa) = 79891.5 , 22521.5 ,4579.5 , 28055.5 γ i =1,2,3,4 = 17328.9 , 3849.1 , 0.86, 1493.6 a 4 = 18.2 MPa

E = 181 GPa  y 0 = 129.6 MPa E = 200 GPa  y 0 = 225 MPa

b = 109.3 Q = 29.4 MPa

CS1026 steel

b = 92.6 Q = 14.5 MPa

SA333 C-Mn steel

E = 69 GPa  y 0 = 500 MPa

b = 862.6 Q = -27.8 MPa

AA7075

E = 117 GPa  y 0 = 8.4 MPa

b = 1.8 Q = 60.6 MPa

OFHC Copper

E = 101 GPa  y 0 = 420 MPa

b = 550.1 Q = -182.5 MPa

TA16

E = 51 GPa  y 0 = 110 MPa

b = 1516.1 Q = -35.4 MPa

Zr-4

b

a

c

d f Figure 2: Prediction of stabilized hysteresis loops and ratcheting response for BCC structured (a-b) CS1026 (Nath et al., 2019a), and (d-e) SA 333 C-Mn (Nath et al., 2019a) steels. (e) and (f) represent the deviation of simulation from experimental for the two materials using F error The results in Fig 2-4 depict that the single set of parameters of the cyclic-plastic model obtained for a material using the adopted approach provides close predictions for the material response under both strain-controlled and stress controlled cyclic loading. However, a marked difference in the contribution of the backstresses to plastic response for materials having different lattice structures is noted and is summarized in Fig. 5. The contribution of the fourth e