# Cyclic Deformation Behavior and Fatigue Crack Propagation of Low Carbon Steel Prestrained in Tension

Authors: J. G. Wang; W. P. Jia; D. Y. Ju
Journal: Research Letters in Materials Science
 (2009)

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## Abstract

The tests were performed on low carbon steel plate. In the tension fatigue tests, two angle values (ϕ=0° and ϕ=45°, ϕ is the angle between the loading and the rolling direction) have been chosen. The influence of strain path change on the subsequent initial work softening rate and the saturation stress has been investigated. Dislocation microstructure was observed by transmission electron microscopy. It was found that the strain amount of preloading in tension has obviously affected the cyclic softening phenomenon and the initial cyclic softening rate. It was observed that the reloading axial stress for ϕ=45° case increased more than that of ϕ=0° case, due to the anisotropism of Q235. In the fatigue crack propagation tests, the experimental results show that with increasing the pretension deformation degree, the fatigue crack growth rate increases, especially at the near threshold section.


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## Body

## 1. Introduction

Fatigue as mainly   damage form   in the process of using is firstly studied [1–3]. In fact, nearly 90% of total fatigue of most materials is at the stage of cyclic deformation and crack initiation, so trying to clarify cyclic deformation behavior of materials is of much importance not only in theory research, but also in engineering application. Up to date, most research works in literature about this are on the cyclic deformation behavior of annealed materials [4–6]. Recently, the cyclic deformation behavior of materials with prestrained history has also been studied because of its industrial application background [7–9]. However, some aspects about it are not very clear yet, especially polycrystallinity material; further system study is necessary. The present work is mainly about the cyclic deformation behavior and fatigue crack propagation of low carbon steel prestrained.


## 2. Experimental Procedure

Hot-rolled steel (Q235) plate was   chosen for the research material, in which the chemical compositions were 0.140% C, 0.170% Si, 0.400% Mn, 0.012% P, and 0.006% S by weight, respectively. The typical microstructures of Q235 are ferrite which is an equiaxed grain structure with mean grain size of 20μm, and pearlite is a lamellar grain structure.Tension-fatigue tests: two angle values (ϕ=0° and ϕ=45°, ϕ is the angle between the loading and the rolling direction) have been chosen, which were the angles between the loading and the rolling direction. The strain rate for the pretension (2%, 5%, 10%) tests is 5×10-3s-1. Cyclic pull-push fatigue tests were conducted under constant plastic strain amplitude controlled (0.6×10-3,1.5×10-3,2.5×10-3)  by Instron servohydraulic fatigue testing machine at room temperature. The triangular waveform signal was used with a frequency of 0.5 Hz. All the fatigue tests were conducted until the specimens were saturated.Fatigue crack testing: the pretension (5%, 10%) and original specimens were tested in completely tension-tension mode at the room temperature until fracture. Load control (R=σmin/σmax=0.1,f=10Hz) is conducted for the fatigue crack testing. The fracture surfaces were observed by JSM-5410LV.Transmission electron microscopy (TEM) was used to characterize the dislocation substructures during the second strain path. TEM images were taken by JEPL2100 microscope operated at an accelerating voltage of 200 KV.


## 3. Results and Discussion

### 3.1. Tension-Fatigue

In both cases, the cyclic softening curves with different plastic strain amplitudes and tension prestraining amounts are shown in Figures1(a)–1(f). In general, for both cases, the higher tension prestraining amount results in a higher axial stress and the larger the cyclic softening rate at the initial stage under same strain amplitude. The saturation stress level at low prestrained is lower than that without prestrained, because  the dislocation structures were rearranged at the end of cyclic deformation. In ϕ=45° case, the axial stress at the beginning of reloading is a little higher than that of ϕ=0° case under the same tension prestraining amount.Cyclic softening curve of specimen with different tension prestraining amounts at various plastic strain amplitude, (a)–(c):ϕ=0°; (d)–(f): ϕ=45°.An explanation for above results can be reached from the study on evolution of dislocation structures. As in previous work [10–12], the higher tension prestraining amount, the higher dislocation density in the dislocation structures formed in the preloading, and the higher axial stress of specimens at the early stage of reloading in fatigue. Figures 2(a)–2(f) show that some exceptions about the rearranged dislocation structures are worth mentioning here. (i) While at the same low strain amplitude, only vein-bundle structures can be found in non-prestrained and low pretension samples; see Figures 2(c) and 2(d). (ii) in ϕ=45° case, microbands embedded in cell structures have been detected in some grains after reloading in fatigue under relatively high plastic strain amplitude, Figures 2(b), 2(c), and 2(f), this is due to the occurrence of intense glide on one slip system that was inactive during the rolling.Saturation dislocation structure of specimens at various plastic strain amplitude with different preloading conditions (a)εpl=0.6×10-3, non-prestrained, ϕ=0°; (b) εpl=0.6×10-3, 10% tension prestrained, ϕ=0°; (c) εpl=2.5×10-3, 2% tension prestrained, ϕ=45°; (d) εpl=1.5×10-3, non-prestrained, ϕ=0°; (e) εpl=2.5×10-3, 10% tension prestrained, ϕ=0°; (f) εpl=2.5×10-3, 10% tension prestrained, ϕ=45°. RD = rolling direction, TD = testing direction, and MB = microband.
(a)(b)(c)(d)(e)(f)


### 3.2. Fatigue Crack Growth

(1)dadN=c(ΔK)m.
Figure 3 was obtained by Paris equation (1), where c and m are material constants. This curve may be divided into three regions [13, 14]. As shown in Figure 3, the prestrained specimens show the faster propagation rates than do the corresponding nonprestrained specimens. Between the prestrained specimens, remarkable difference can be seen around ΔKth, whereas the crack propagation rates are observed to be almost the same in the region of large ΔK. It is well known that the prestrained specimens show a low value in the threshold stress intensity range. It is clear that the fatigue crack propagation behavior of Q235 steel is very sensitive to prestrained particularly in the near-threshold region.Figure 3
Theda/dN versus ΔK  for pretention specimens.


## 3.1. Tension-Fatigue

In both cases, the cyclic softening curves with different plastic strain amplitudes and tension prestraining amounts are shown in Figures1(a)–1(f). In general, for both cases, the higher tension prestraining amount results in a higher axial stress and the larger the cyclic softening rate at the initial stage under same strain amplitude. The saturation stress level at low prestrained is lower than that without prestrained, because  the dislocation structures were rearranged at the end of cyclic deformation. In ϕ=45° case, the axial stress at the beginning of reloading is a little higher than that of ϕ=0° case under the same tension prestraining amount.Cyclic softening curve of specimen with different tension prestraining amounts at various plastic strain amplitude, (a)–(c):ϕ=0°; (d)–(f): ϕ=45°.An explanation for above results can be reached from the study on evolution of dislocation structures. As in previous work [10–12], the higher tension prestraining amount, the higher dislocation density in the dislocation structures formed in the preloading, and the higher axial stress of specimens at the early stage of reloading in fatigue. Figures 2(a)–2(f) show that some exceptions about the rearranged dislocation structures are worth mentioning here. (i) While at the same low strain amplitude, only vein-bundle structures can be found in non-prestrained and low pretension samples; see Figures 2(c) and 2(d). (ii) in ϕ=45° case, microbands embedded in cell structures have been detected in some grains after reloading in fatigue under relatively high plastic strain amplitude, Figures 2(b), 2(c), and 2(f), this is due to the occurrence of intense glide on one slip system that was inactive during the rolling.Saturation dislocation structure of specimens at various plastic strain amplitude with different preloading conditions (a)εpl=0.6×10-3, non-prestrained, ϕ=0°; (b) εpl=0.6×10-3, 10% tension prestrained, ϕ=0°; (c) εpl=2.5×10-3, 2% tension prestrained, ϕ=45°; (d) εpl=1.5×10-3, non-prestrained, ϕ=0°; (e) εpl=2.5×10-3, 10% tension prestrained, ϕ=0°; (f) εpl=2.5×10-3, 10% tension prestrained, ϕ=45°. RD = rolling direction, TD = testing direction, and MB = microband.
(a)(b)(c)(d)(e)(f)


## 3.2. Fatigue Crack Growth

(1)dadN=c(ΔK)m.
Figure 3 was obtained by Paris equation (1), where c and m are material constants. This curve may be divided into three regions [13, 14]. As shown in Figure 3, the prestrained specimens show the faster propagation rates than do the corresponding nonprestrained specimens. Between the prestrained specimens, remarkable difference can be seen around ΔKth, whereas the crack propagation rates are observed to be almost the same in the region of large ΔK. It is well known that the prestrained specimens show a low value in the threshold stress intensity range. It is clear that the fatigue crack propagation behavior of Q235 steel is very sensitive to prestrained particularly in the near-threshold region.Figure 3
Theda/dN versus ΔK  for pretention specimens.


## 4. Conclusions

(1) Cyclic deformation behavior of Q235 steel with tension prestraining at two amplitudes of strain path change was studied. For both cases, higher tension prestraining amount leads to higher axial stress at the beginning of cyclic deformation under the same strain amplitude. In the subsequent cyclic deformation, with increasing the cyclic number, the dislocation structure formed in preloading is resolved gradually. At the end of fatigue tests, for most specimens, the dislocation structures are almost the same as those of specimens as if the tension preloading did not happen. In ϕ=45° case, the axial stress at the beginning of reloading is a little higher than that in ϕ=0° case under the same tension prestraining amount.(2) The experimental results show that with increasing the pretension deformation degree, the fatigue crack growth rate increases, especially at the near threshold section. The result of quantitative analysis shows that the pre-tension deformation reduced the fatigue crack growth threshold and increases the crack growth coefficient and consequently decreases the fatigue resistance of the part with mechanical damage.



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*Source: 657284-2009-07-19.xml*