3.1. Tensile Properties
Figure 1a shows the mechanical properties of the as-received sample. The tensile strength of this cold-worked sample is up to 1900 MPa, but the elongation is low and the pseudoelastic plateau did not appear in the curve. Neither a distinct yielding stage nor a stress plateau attributable to pseudoelasticity is observed. The sample fractures at the point of tensile strength, suggesting that a significant amount of substructure or internal stress has been introduced into the cold-drawn NiTi alloy, leading to the fracture of the wire without necking.
In contrast,
Figure 1b presents the mechanical curves of the samples with different heat treatment processes; all samples exhibit distinct stress plateaus indicative of pseudoelasticity. Notably, these heat-treated samples show a decreasing trend in ultimate tensile strength (UTS) compared to the as-received material. The 400 °C–10 min sample demonstrates the closest resemblance to the as-received samples in terms of UTS. The UTS of the samples only decreased by 10 MPa (from 1900 MPa to 1890 MPa), whereas its total elongation was significantly enhanced. On the other hand, the rapid middle-temperature aging (mid-temperature aging) method led to the emergence of a stress plateau in the samples, with a strain value of approximately 7% to the right of this plateau. It can be inferred that the introduction of this stress plateau has broadened the total elongation compared to the as-received samples. Interestingly, although the diameter of the wire samples precludes precise measurement of the elastic modulus using an extensometer, a distinct elastic modulus was observed on either side of the stress plateau. This is attributed to stress-induced phase transformation, a phenomenon that has been extensively studied in superelastic NiTi alloys.
Increasing the heat treatment temperature results in a marked decrease in the pseudoelastic plateau, and extending the holding time also leads to a rapid decline of the plateau for samples treated at 450 °C and 500 °C. The samples treated at 400 °C with extended time maintain a nearly constant platform stress of around 650 MPa. The reversible strain of the samples increases gradually, with the holding time exerting a relatively minor influence. We speculate that the heat treatment induces material recovery, leading to the partial elimination of substructures such as dislocations and internal stresses. It is noteworthy that all samples still do not exhibit necking phenomena; instead, they fracture at the UTS position. However, these speculations require further experimental verification.
Nevertheless, the tensile experiments can be regarded as preliminary experiments. We have observed potential pseudoelastic properties of the samples in the temperature range of 400–500 °C during heat treatment.
3.2. Pseudoelasticity Properties and Specific Damping Capacity
Figure 2a–c presents the hysteresis curve results of NiTi subjected to different heat treatments, and
Figure 2d presents the calculated results of the specific damping capacity (SDC). Since the as-received samples in
Section 3.1 did not exhibit distinct pseudoelastic curve characteristics, they were not tested. Additionally, all samples in the 500 °C group exhibited varying degrees of bending during the return loading process; therefore, SDC numerical calculations were not performed for this temperature group and we will not discuss this temperature further.
Figure 2a,b illustrate typical pseudoelastic flag-type curves of NiTi alloy, which, owing to their large envelope area, possess significant energy dissipation capabilities. The hysteresis curves depicted in
Figure 2a,b exhibit distinct upper and lower stress plateaus, which are the result of stress-induced phase transformation and are typical characteristics of pseudoelasticity in NiTi. Lorène et al. conducted in situ testing using synchrotron X-ray radiation diffraction (SXRD) to investigate this process and demonstrated the existence of the B2-R-B19′ phase transformation pathway during loading. However, only a single B2 phase diffraction peak was observed during the unloading process [
18].
Comparing
Figure 2a,b, significant differences can be observed in both the upper and lower stress plateaus.
Figure 2a shows that the upper stress plateau of the samples treated at 400 °C remains almost unchanged at 650 MPa, while the stress value of the lower stress plateau exhibits a slight decrease with prolonged annealing time, with a decrease of 50 MPa (from 350 MPa to 300 MPa). However, in
Figure 2b, for samples treated at 450 °C, the decrease in the upper stress plateau is 100 MPa (from 550 MPa to 450 MPa), and the lower stress plateau experiences a drastic decrease (from 200 MPa to 100 MPa), particularly for samples annealed for 40 min and 60 min, where the changes are most pronounced.
For a more in-depth discussion of this phenomenon, the SDC calculation equation (Equation (1)) was employed to calculate the curves in
Figure 2a,b. The specific calculation results are presented in
Figure 2d.
Under cyclic loading, materials exhibit hysteresis, where the stress–strain curve forms a closed hysteresis loop. In the Equation (1), the area of this loop, denoted as Δ
w, represents the energy dissipated by the material within one cycle, while w represents the total stored energy throughout the entire cycle process. In this case, the area of Δ
w refers to the shaded area of part
in the schematic diagram provided in
Figure 2d, whereas the area of
w corresponds to the total area encompassing both parts
and
.
Through calculation, it was observed that for samples subjected to heat treatments at 400 °C for 10 to 60 min and at 450 °C for 10 to 20 min, the values of SDC exhibited approximately linear growth (from 40% to 55%). However, a sudden jump was observed within the 450 °C range at 20 min and 40 min, denoted by red symbols indicating abnormally large SDC values. These anomalies in the two sets of data drew our attention, prompting speculation about a new mechanism possibly involving the introduction of new phases or microstructural organizations causing such a jump.
3.3. X-ray Diffraction
Figure 3a shows the X-ray diffraction (XRD) pattern of as-received NiTi wire. The signal of the whole sample is weak with only one single peak, which means that a strong (110) textile structure exists in the cold-drawn wires. A fine sweep was taken in range from 36–48° and the pattern is shown in
Figure 3b, and the broad peak indicates a strong lattice distortion in the as-received NiTi wire.
Figure 3c,d shows the fast sweep results for samples heat treated at 400 °C and 450 °C, respectively, for 10, 20, 40, and 60 min.
Figure 3e,f shows the corresponding fine sweep results. The peaks corresponding to the B2 austenite phase, B2(110) and B2(211), were observed.
Table 1 presents the calculations of the full width at half maximum (FWHM) for the B2(110) peak, which indicates a trend of decreasing FWHM with increasing holding temperature. The FWHM shows a similar trend with aging time, but it is noteworthy that the sample aged at 450 °C for 60 min is an exception, which may be attributed to possible microstructural evolution.
Extreme plastic deformation can produce nanocrystalline or amorphous structures in many alloys. Prokoshkin et al. found that the X-ray diffraction peaks progressively converge to 43° with increasing deformation level [
19], which is consistent with the results shown in
Figure 3b. However, because of this phenomenon, it is challenging to identify the phase composition of the as-received cold-drawn samples. After mid-temperature processing, as shown in
Figure 3c,d, only the diffraction peaks of the B2 phase were observed for all the samples. The narrowing peak width shown in
Figure 3e,f and
Table 1 indicates the release of strong strain, the recovery of grain lattice, and grain growth.
Nevertheless, the XRD outcomes are insufficient to fully elucidate the phase constitution in the thermally treated samples, as the pronounced plastic deformation obscures potential peaks attributable to phases such as martensite B19′ or R phase. Consequently, TEM was employed for further characterization, enabling an in-depth analysis of the possible phase composition and microstructural features within the sample.
3.4. TEM Result
The TEM results are presented in
Figure 4.
Figure 4a,c show the bright-field images of samples heat treated at 400 °C and 450 °C, respectively, where both samples exhibit fine grains of nanometric dimensions.
Figure 4e plots the grain size distribution for both samples, revealing an average grain diameter of 26 nm for the 400 °C–60 min sample and 40 nm for the 450 °C–60 min sample.
Figure 4b,d present the selected area electron diffraction (SAED) results corresponding to
Figure 4a and
Figure 4c, respectively, with the selected areas having a radius of 200 nm. In
Figure 4b, the polycrystalline rings characteristic of the austenitic B2 phase could be observed.
Figure 4d reveals a slight enhancement in the diffraction intensity of the polycrystalline rings and a greater number of rings assignable to the B2 phase. Nevertheless, SAED analysis could not reveal the presence of phases other than the B2 phase, thereby indicating that the matrix of the 400 °C–60 min and 450 °C–60 min is predominantly composed of the austenitic B2 phase. Kuranova et al. investigated the evolution of phase structures in NiTi alloys following intense torsional plastic deformation upon isothermal annealing within the temperature range of 200–500 °C [
20]. They noted that in samples subjected to heat treatment within the 400–500 °C interval, the SAED revealed the presence of distinct diffraction spots corresponding to R phase, B19′ phase, and Ni
4Ti
3 nanoprecipitates. The authors proposed that Ni
4Ti
3 precipitates formed at grain boundaries, with their content not exceeding 1%. However, despite employing SAED with a probing area significantly larger than the grain size, we still failed to find the evidence for the presence of R phase and other phases, indicating further experimental characterization of phase composition is warranted.
Figure 5a presents a representative HRTEM image of 400 °C–60 min sample, where the red boxed region displays an overlap of multiple lattice fringes, suggesting that multiple phase structures may be present. A fast Fourier transform (FFT) analysis of this region (
Figure 5b) reveals that a set of diffraction spots corresponding to the
plane of the B2 phase, while the other set belongs to the R phase, the latter of which has been well documented in the literature [
13,
14,
21,
22]. Focusing on the R-phase diffraction spots circled in red in
Figure 5b, an inverse Fourier transform (IFFT) was performed, yielding the lattice fringes depicted in
Figure 5c. It can be seen that there is a high density of edge dislocations in the R-phase lattice structure. We marked the areas where edge dislocations appeared as accurately as possible in black. According to calculations, the density of edge dislocations is 1.1 × 10
21/m
2 in this phase.
Similarly, HRTEM characterization was performed on the 450 °C–60 min sample.
Figure 6a presents a representative HRTEM image; FFT analysis was applied to the red-framed area, yielding the diffraction spots shown in
Figure 6b. In comparison to the diffraction pattern displayed in
Figure 5b, a new set of diffraction spots emerges. Yan and Song [
13] have previously reported similar diffraction outcomes and proposed that these new spots should be ascribed to variants of the R phase. Furthermore, no diffraction spots indicative of Ni
4Ti
3 nanoprecipitates were detected.
Figure 6c, d show the IFFT transformations of the two sets of diffraction spots attributed to the R phase, which we denote as R
1 and R
2, respectively. Additionally, the R
2 phase exhibiting a higher dislocation density than the R
1 phase. These nanoscale R-phase variants generate multiple microdomains in the B2 phase matrix, which is similar to the nano-domains reported in [
13] These two variants of the R phase give rise to a more uneven distribution of microstress fields.
As shown in
Figure 6, the edge dislocations are not very prominent. Therefore, we provided
Supplementary Material Figure S1. After calculation, the density of edge dislocations is 6.5 × 10
16/m
2. Compared to
Figure 5c, the density of edge dislocations in samples subjected to 450 °C heat treatment has significantly decreased.
3.5. Internal Friction
To investigate the formation mechanism of the R phase during cooling, we employed IF technique to examine the dynamic phase transformation process of the samples. The samples were initially held at 90 °C for 10 min to ensure the complete transformation of all R phases and any potential B19′ martensite into the B2 austenite phase.
Figure 7a depicts samples subjected to different durations at 400 °C followed by quenching. During the initial cooling stage (from 90 °C to 50 °C), the IF values Q
−1 are about 0.008,showing the typical IF characteristic of NiTi B2 phase [
13,
22,
23]. With continuous cooling, two distinct peaks, labeled P
1 and P
2, are observed. The P
1 peak is attributed to the phase transformation from the B2 phase to the R phase, according to Song’s report [
13]. The P
2 peak, relatively broad and whose peak position varies with vibration frequency as opposed to P
1, is more complex. It should be ascribed to the superposition of the phase transformation peak from R phase to B19′ phase and the relaxation peak of NiTi [
13]. However, considering the low-temperature regime associated with this phenomenon, it is out of the scope of present discussion.
Figure 7b shows the temperature-dependent IF curves during cooling run for the samples annealed at 450 °C for 10 min, 20 min, 40 min, and 60 min, respectively. For the IF curve of 450 °C–10 min sample, it exhibits two weak IF peaks as the temperature decreasing, which is same as the curves of 400 °C. The paint peak P
1 between 30 °C and 0 °C is frequency-independent, indicating first-order phase transformation trait, which can be attributed to the B2 → R transformation [
13,
23]. A broad IF peak with faint relaxational characteristic for all samples between −70 °C and 0 °C, and is associated to the thermally activated process of R phase
→ B19′ as well [
13,
22,
23].
Notably, as the holding time extended, the P
1 IF peak progressively broadens and splits, with a new phase transformation peak, designated P
1′, first emerging in samples annealed for 40 min. This dual peak feature becomes evident in the cooling curve for the 60 min annealed samples, which is particularly evident in the 0.5 Hz curve. Furthermore, with the prolongation of the annealing time, the P
1′ IF peak shifts conspicuously toward lower temperatures, with the decrease in transformation peak temperature reaching up to 10 °C, while the P
1 peak displays a minor tendency to shift towards higher temperature. Frenzel et al. [
24] have posited that Ni content has a profound influence on all transformation temperatures in Ni-rich NiTi alloys, such that a mere 0.1 at% change in Ni composition within the atomic ratio range of 50.0 to 51.2 at% for NiTi alloys can lead to a 10 °C drop in transformation temperatures. Unfortunately, Frenzel’s study did not encompass investigations into the transformation temperatures of the R phase. Nonetheless, Urbina et al. [
17] and Héraud et al. [
18] have each suggested that the R-phase transformation represents a variant of the martensitic transformation, acting as an intermediate state in the B2 to B19′ transformation process. Drawing inference from these conclusions, we can posit that the P
1′ peak should also be attributed to the transformation from B2 to R phase, implying that our IF experiments have captured the dynamic transformation processes of two R-phase variants.
Finally, our experimental findings still entail two issues worthy of discussion. Firstly, past reports [
11,
12,
25] on the R phase often emphasize that the introduction of Ni
4Ti
3 nanoprecipitates through low- or intermediate-temperature aging heat treatments facilitates the formation of the R phase. However, none of our experimental results could confirm the presence of either Ni
4Ti
3 or Ti
2Ni nanoprecipitates. Consequently, the following question arises: What is the underlying cause for the generation of the R phase in our case? Takashi [
26] pointed that the R phase can nucleate from single dislocations and other defects. Song [
13] demonstrated that the generation of R-phase variants was promoted by short-range ordering of Ni atoms under mid-temperature aging. Huo observed segregation of Ni elements in samples subjected to low-temperature aging and, through molecular dynamics calculations, concluded that R-phase transformation is initiated when strain fluctuations exceed ±3% [
14]. Based on the experimental results presented above and in comparison with previous reports, particularly considering the uneven distribution of dislocation densities revealed in
Figure 6c,d, we can infer that the R phase observed in our experiments is induced by a non-uniform stress field resulting from this irregular distribution of edge dislocations.
Additionally, the P
1 and P
1′ IF peaks appear to correlate with the two R-phase variants depicted in
Figure 6c and
Figure 6d, respectively. Given that the quenching temperature of the samples is 18 °C, which is higher than the temperature of the P
1 peak yet lower than that of the P
1′ peak, the phase composition of the quenched samples would logically contain a significantly greater volume fraction of the R phase corresponding to the P
1 peak than that related to the P
1′ peak. Building on the above inferences, we contend that the P
1 IF peak should be associated with the R
2 phase diffraction spots shown in
Figure 6d, while the P
1′ peak aligns with the R
1 phase diffraction spots presented in
Figure 6c. Lastly, we realize that a segregation of Ni elements has occurred within the NiTi B2 matrix, leading to microregions with varying Ni contents due to the rapid heat treatment regimen employed.