Ratcheting Behavior of SA508-3 Steel at Elevated Temperature:Experimental Observation and Simulation

doi:10.1007/s40195-017-0588-1

Abstract

Abstract:

A series of monotonic uniaxial tensile tests, strain-controlled and stress-controlled cyclic tests of SA508-3 steel were conducted from 25 to 350 °C. Results showed that the steel exhibited temperature-dependent cyclic softening characteristic and obvious ratcheting behavior, and dynamic strain aging was observed in the range of 250-350 °C. Based on experimental observations, a temperature-dependent cyclic plastic constitutive model was proposed by introducing the nonlinear cyclic softening and kinematic hardening rules, and the dynamic strain aging was also considered into the constitutive model. Comparisons between experiments and simulations were carried out to validate the proposed model at elevated temperature.

Key words: Ratcheting, Constitutive model, Dynamic strain aging, Cyclic loading, Elevated temperature

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Jun Tian, Yu Yang, Zhang Li Ping, Shao Xue Jiao, Juan Du, Kan Qian Hua. Ratcheting Behavior of SA508-3 Steel at Elevated Temperature:Experimental Observation and Simulation[J]. Acta Metallurgica Sinica (English Letters), 2017, 30(9): 822-828.

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URL: https://www.amse.org.cn/EN/10.1007/s40195-017-0588-1

https://www.amse.org.cn/EN/Y2017/V30/I9/822

Figures/Tables 7

Fig. 1 Monotonic tensile stress-strain curves at different temperatures: a experiments, b simulations by the proposed model, c simulations by the Chaboche model

Fig. 2 Experimental stress-strain curves of SA508-3 for uniaxial strain cycling under strain amplitude of 0.6% at a 25 °C; b 350 °C; c experimental and simulated stress amplitudes versus number of cycles by the proposed model

Table 1 Loading cases of stress cyclic tests at different temperatures for SA508-3 steel

Case	Temperature (°C)	First step (MPa)	Second step (MPa)
1	25	50 ± 450	50 ± 475
2	25	50 ± 450	75 ± 450
3	100	50 ± 450	50 ± 475
4	100	50 ± 450	75 ± 450
5	200	50 ± 425	50 ± 450
6	200	50 ± 425	75 ± 425
7	250	50 ± 425	50 ± 450
8	250	50 ± 425	75 ± 425
9	300	50 ± 425	50 ± 450
10	300	50 ± 425	75 ± 425
11	350	50 ± 425	50 ± 450
12	350	50 ± 425	75 ± 425

Table 1 Loading cases of stress cyclic tests at different temperatures for SA508-3 steel

Case	Temperature (°C)	First step (MPa)	Second step (MPa)
1	25	50 ± 450	50 ± 475
2	25	50 ± 450	75 ± 450
3	100	50 ± 450	50 ± 475
4	100	50 ± 450	75 ± 450
5	200	50 ± 425	50 ± 450
6	200	50 ± 425	75 ± 425
7	250	50 ± 425	50 ± 450
8	250	50 ± 425	75 ± 425
9	300	50 ± 425	50 ± 450
10	300	50 ± 425	75 ± 425
11	350	50 ± 425	50 ± 450
12	350	50 ± 425	75 ± 425

Fig. 3 Experimental and simulated curves of ratcheting strain versus number of cycles at a 25 °C; b 100 °C; c 200 °C; d 250 °C; e 300 °C; f 350 °C

Fig. 4 Experimental and simulated curves of ratcheting strain versus number of cycles by the proposed model a at 25 °C; b at different temperatures

Fig. 5 Exponential relationship between the plastic hardening moduli C and accumulated plastic strain at a 200 °C; b 300 °C

Table 2 Material parameters for SA508-3 steel in the Chaboche model

Temperature (°C)	Material parameters
25	C₁ = 7 × 10³ MPa, C₂ = 2.8 × 10³ MPa, C₃ = 800 MPa, r₁ = 100, r₂ = 25, r₃ = 30
100	C₁ = 9 × 10³ MPa, C₂ = 1.5 × 10³ MPa, C₃ = 770 MPa, r₁ = 100, r₂ = 25, r₃ = 30
200	C₁ = 1 × 10⁴ MPa, C₂ = 2.2 × 10³ MPa, C₃ = 474 MPa, r₁ = 100, r₂ = 25, r₃ = 30
250	C₁ = 1.5 × 10⁴ MPa, C₂ = 4 × 10³ MPa, C₃ = 600 MPa, r₁ = 250, r₂ = 25, r₃ = 30
300	C₁ = 1.6 × 10⁴ MPa, C₂ = 3.2 × 10³ MPa, C₃ = 820 MPa, r₁ = 250, r₂ = 25, r₃ = 30
350	C₁ = 3.3 × 10³ MPa, C₂ = 5.8 × 10³ MPa, C₃ = 100 MPa, r₁ = 250, r₂ = 25, r₃ = 30

Table 2 Material parameters for SA508-3 steel in the Chaboche model

Temperature (°C)	Material parameters
25	C₁ = 7 × 10³ MPa, C₂ = 2.8 × 10³ MPa, C₃ = 800 MPa, r₁ = 100, r₂ = 25, r₃ = 30
100	C₁ = 9 × 10³ MPa, C₂ = 1.5 × 10³ MPa, C₃ = 770 MPa, r₁ = 100, r₂ = 25, r₃ = 30
200	C₁ = 1 × 10⁴ MPa, C₂ = 2.2 × 10³ MPa, C₃ = 474 MPa, r₁ = 100, r₂ = 25, r₃ = 30
250	C₁ = 1.5 × 10⁴ MPa, C₂ = 4 × 10³ MPa, C₃ = 600 MPa, r₁ = 250, r₂ = 25, r₃ = 30
300	C₁ = 1.6 × 10⁴ MPa, C₂ = 3.2 × 10³ MPa, C₃ = 820 MPa, r₁ = 250, r₂ = 25, r₃ = 30
350	C₁ = 3.3 × 10³ MPa, C₂ = 5.8 × 10³ MPa, C₃ = 100 MPa, r₁ = 250, r₂ = 25, r₃ = 30

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