Besides the obvious effect of increasing flow stresses due to work-hardening, it can be seen from the results of ambient temperature tests that after cold rotary swaging neither in tension nor in compression distinct yield points can be obtained from the deformation curves. While in compression no elastic region can be observed at all regardless of pre-deformation, the tensile tests exhibit increasing deviations from linearity with increasing stresses. This can be attributed to a superposition of several effects, namely residual stress formation, (residual) stress relaxation and Bauschinger effect. The absence of clear yield points after cold working indicates that macroscopic residual stresses (type I[
26]) in longitudinal (axial) direction may prevail.[
13,
27] With residual stresses present, specimen sections with tensile (compressive) residual stress yield earlier under tensile (compressive) loads than the section with opposed residual stress. As axial and tangential residual stresses are a common by-product of the rotary swaging process,[
28] they help explain the non-linearities found in tension. Additionally, recovery and relaxation of residual stresses under applied load may occur at elevated temperatures.[
17,
27] In particular, large degrees of cold work promote thermally activated residual stress relaxation in Alloy 718.[
17] Exposing shot-peened Alloy 718 with an estimated near-surface cold work of 30 pct at 525 °C (798 K), residual stresses were found to relax by more than 50 pct within only 10 minutes.[
17] It is therefore deduced that particularly for high degrees of work-hardening, residual stresses relax to a large degree already during the 20-minutes soaking period at 550 °C, accompanied by a certain degree of recovery. In addition, stress relaxation during testing is likely to occur. However, the immediate onset of plastic deformation in compression at ambient temperature can only be rationalized by consideration of the Bauschinger effect, particularly its transient portion.[
29‐
32] The latter denotes decreased resistance against plastic deformation in the direction opposite to preceding deformation. It is mainly owed to the presence of mobile dislocations with directionality in their resistance to motion and supported by annihilation of dislocations during reverse deformation.[
29] In contrast, the permanent softening contribution to the Bauschinger effect is closely related to the decay and reformation of longer-range internal stress fields upon strain reversal.[
31] At room temperature, Alloy 718 is known to exhibit inhomogeneous deformation by planar slip.[
6,
20,
21] Accordingly, the prevalence of planar slip bands after cold rolling (5 pct reduction in area) could be shown using TEM analysis[
6] and confirmed for deformation up to
\(\varphi = 0.62\) (46 pct reduction in area) by cold rotary swaging.[
19] Such planar dislocation structures, accompanied by precipitates prone to slip transmission, promote the Bauschinger effect.[
30] Results in support of residual stress formation and Bauschinger effect were found in studies by Kalluri
et al.[
7,
10] and Praveen
et al.[
6,
13] in precipitation-strengthened Alloy 718. The material was pre-strained by means of uniaxial tension and cold rolling, respectively. In cyclic tests, tensile (compressive) pre-strain caused tensile (compressive) mean stress,[
7] as may be expected after uniaxial pre-deformation. In the case of cold rolling, mean stress formation was explained in terms of residual stresses.[
6] As explained above, a combination of effects is more likely to prevail. The observed (partial) restoration of the elastic range in compression at 550 °C can be attributed to static strain aging,[
30]
i.e., the pinning of mobile dislocations by diffusing elements.[
33,
34] Yet, stress magnitudes at the onset of plastic deformation are still significantly below those measured at 550 °C in tension. Mataya
et al.[
30] investigated the Bauschinger effect in N-strengthened austenitic steel exhibiting planar slip at ambient temperature and wavy slip at an elevated temperature of 480 °C (753 K). They found that sole stress-relief of the material reduced the transient portion of the Bauschinger effect, while permanent softening was only suppressed when the prior deformation had occurred in a homogeneous fashion (wavy slip),
i.e., deformation at elevated temperature. This was attributed to the formation of dislocation cell structures with less extent of backstress formation. It is therefore most likely that backstresses relaxed to some extent during the soaking period, which may have been more pronounced in the more severely work-hardened material states. Despite the assumed occurrence of static strain aging, dynamic strain aging during elevated temperature deformation was only observed in terms of serrations in the non-swaged state. The effect can be attributed to the interaction of moving dislocations with diffusing interstitial elements, such as C, and is strain rate and temperature dependent.[
33,
34] At increasing temperatures (475 °C to 625 °C or approx.
\(750\,{\rm{K}}\,{\rm{to}}\,900\,{\rm{K}}\)), substitutional elements such as Cr[
32,
33] and Nb[
34] additionally contribute to the effect. The largely increased dislocation density (see above) after rotary swaging might allow for fast diffusion paths.[
33] Yet, deformation of rotary swaged Alloy 718 is devoid of serrations. The underlying effects will be subject to future investigations.