Influences of Shot Peening Parameters on Mechanical Properties and Fatigue Behavior of 316 L Steel: Experimental, Taguchi Method and Response Surface Methodology

Severe plastic deformation methods like shot peening (SP) are known as efficient surface treatments and grain refining processes which afford more effective properties in metallic materials. In the current research, a comprehensive study was carried out on SP of AISI 316 L steel. It included 42 different SP treatments with a wide range of Almen intensities of 12–27 A and various coverage degrees (100%–1500%). Several experimental tests were conducted in order to explore the microstructure, grain size, surface topography, hardness, wettability, and residual stresses of the specimens. Next, two different approaches including Taguchi method (TM), and response surface methodology (RSM) were deployed for modeling, analysis, and optimization. RSM and TM were used to examine the influence of the effective parameters. Based on the optimized results, the fatigue behavior of the selected treatments was investigated experimentally in both smooth and notched specimens.


Introduction
Metallic biomaterials are extensively used in bio-applications such as pharmaceutical and textile industries and surgical implants. AISI 316L stainless steel is widely employed in aerospace, food, and chemical, as well as biomaterial industries, due to its strong corrosion resistance in aggressive environments and its exceptional biocompatibility [1][2][3]. Compared to other metals and alloys, the biomaterial of 316L austenitic stainless steel is one of the most commonly used materials for fracture fixation devices due to its distinctive mechanical properties and its low cost [4,5]. The biomaterial of stainless steel 316L is self-protected by the spontaneous formation of a thin oxide film. It has been used in wire form for neurosurgical clips, artificial hip, surgical sutures, and microvascular clips (to cure aneurysms) [6,7]. Besides, this grade of austenitic stainless steel is applicable in producing vascular stents and 1 3 electrodes and conducting lead wires. Pulse generator housing of cardiac pacing systems is another area where stainless steel 316L is commonly used [8,9].
Generally, grain refinement brings about a reduction in the size of the grain (coarse grains of the material) so that it reaches a submicron (< 1000 nm) scale. Grains with a size of 1-100 nm and 100-500 nm are called nanostructured (NS) and ultrafine-grained (UFG), respectively [18]. In their microstructure, NS and UFG materials are featured by a very high density of grain boundaries, which can play a significant role in the development and exhibition of superior properties. Compared with UFG metals or alloys, the most considerable properties of NS grains are their high yield and fracture strength as well as their superplastic behavior at relatively low temperatures and high strain rates. Furthermore, NS metals depict a high strain rate sensitivity, compared to UFG materials [19,20].
Shot peening (SP) is one of the popular approaches in grain refinement. Specially, it is considered one of the surface severe plastic deformation (SSPD) methods. SP is a cold working process whereby small shots are thrust at the surface of a material at a certain velocity. A single shot mechanically deforms the material by creating a dimple when it strikes the surface [21,22].
There exist two main parameters in the SP process, including Almen intensity and surface coverage. Based on the values of Almen intensity and coverage and the overall severity of peening, one could have either a conventional shot peening (CSP) or a severe shot peening (SSP). There is an extensive body of research concerning the effects of CSP on the improvement of different materials [23][24][25][26][27]. In the SSP process, unconventionally high Almen intensities and coverages are employed to introduce more compressive residual stresses and to refine the grains of surface layer of the treated material [28,29]. SSP is generally used for nanocrystallization of the surface [30][31][32][33]. Moreover, other types of shot peening treatments, using ultrasonic waves to create vibrational excitation of the shots, have been used for this purpose [34,35]. However, to carry out SSP, three approaches have so far been proposed: increasing Almen intensity at a very high range [36,37], increasing coverage beyond 100% (or 200%) [38,39], and heightening both Almen intensity and coverage simultaneously [40][41][42].
Recently, Bagherifard et al. [43] and Al-Janabi et al. [44] have proved that the performance of the treated materials of magnesium alloy AZ31 and AISI 304 in the bio environment such as biocompatibility and wettability increases significantly as a result of applying SSP. Moreover, regarding the application of SSP to steel AISI 316 L, Bagherifard et al. [45,46] in their other research revealed that the mechanical properties and the application of this material are finely enhanced in severely treated specimens, in comparison with specimens which had been treated conventionally. In both studies, they applied two different SP treatments (Almen intensity of 15A and coverage of 100% for CSP and Almen intensity of 7C and coverage of 1500% for SSP). They also studied mechanical properties including roughness, hardness, residual stress, wettability, as well as some cell-based and bacterial assays. Moreover, Li et al. have studied the effect of Rotational Accelerated Shot Peening (RASP) as an innovative surface nanocrystallization technique on the microstructure of 316 L stainless steel [47].
Considering the above discussion, since the beneficial effects of SP on steel AISI 316 L have been established [45][46][47] and because of its diverse applications, the authors of the current study have attempted to conduct a comprehensive study on steel AISI 316 L biomaterial in order to shed more light on this process and the way it should be analyzed under different circumstances. The aim is to scrutinize the effects 42 different SP treatments with varying Almen intensities of 12-27 A and distinct coverages of 100%-1500%-conventional to severe-on surface morphology, surface hardness, residual stress, surface roughness, and surface wettability of 316L biomaterial. As for the main novelty of this work, besides the tests, experimental results were analyzed and optimized with two different approaches, namely response surface methodology (RSM), and Taguchi method (TM) as follow for parametric analysis and optimization.

Material and Specimens
Commercial AISI 316L stainless steel was chosen as specimen material and its chemical composition is shown in Table 1. The supplied sheets of the material were mechanically ground and polished to achieve mirror finishing. Then, ASTM E8M [48] and ASTM E466 [49] standards were applied to fabricating tensile and fatigue test specimens, respectively, with a thickness of 6 mm. Figure 1 presents the shape and size of the related specimens.
Tensile tests were performed at room temperature as well as the strain rate of 0.06 mm/mm/min by utilizing a clip gauge extensometer with a parallel length of 25 mm. The stress-strain diagrams are illustrated for three specimens in Fig. 2. Also, the key parameters of these diagrams are reported in Table 2. The yield stress was calculated based on the strain offset of 0.2%. The average value of elastic modulus was estimated around 212 GPa. Figure 3 represents the typical microstructure of the employed material. The solute banding lines can be observed clearly using Nomarski contrast. The average grain size was 130 µm (without twins) or 110 µm (including twins) as determined by stereological methods.

Shot Peening Treatments
An air blast shot peening (ABSP) device was used to execute 42 distinct SP treatments on the specimens. All treatments were performed by using standard steel shots with an average hardness of 48-50 HRC, impingement angle of 90°, nozzle diameter of 6.

Microscopic Observations
For microstructural evolution, the samples of each series were cross-sectioned, impregnated in a Phenolic hot mounting resin, and ground with a series of SiC papers up to P4000 (average scratch size of 5 mm). Afterward, the cross-sections

XRD Grain Size Measurements
XRD measurements were performed to determine the grain size after applying SP treatments at a higher severity. To do the XRD analysis, the authors used the X'Pert PRO MPD (PANalytical) X-ray diffractometer system in conjunction with the X'Pert High Score Plus (V. 3) analyzer with Cu Kα radiation. This was operated at 40 kV and 40 mA, scanning angle of 30°-150°, and irradiated area of 10 mm. The full width at half maximum (FWHM) of the diffraction θ peaks were obtained, and crystallite sizes were calculated using Scherer's equation [51]: where d is the apparent size of crystal, λ stands for the wavelength of x-radiation (i.e. λ Cu-Kα 1.54 Å), B signifies the corrected FWHM (i.e. region below the curve which is divided by the maximum radian height), θ represents the diffraction angle, and K denotes a constant close to unity (i.e. 0.94). β can be obtained from the observed FWHM by convoluting the Gaussian profile modeling specimen broadening β r : where β 0 is the observed broadening, and β i is the instrumental broadening.

Microhardness Measurements
Microhardness experiments were carried out (up to 800 µm on the cross-sectional surface within 20 µm intervals) to explore the impact of the applied SP treatments on hardness. Qness GmbH Q30 A microhardness tester at a load of 10 gf with a duration of 7 s using Vickers indenter. (1)

Surface Roughness Measurements
A common side effect of SP process influencing fatigue behavior, surface roughness of specimens is calculated through SURFCORDER SE500. The definition of ISO 4287 was employed to analyze roughness parameters [52].

Residual Stress Measurements
Multiple XRD analyses were conducted using Xstress 3000 G2/G2R X-ray Stress Analyzer (radiation Cr Kα, an irradiated area of 4 mm diameter, sin 2 ψ method, and diffraction angle of (2θ) ~ 156 scanned between 45 and − 45) in order to investigate the impact of residual stresses on the specimens. The observations were performed in depth step by stepwise via taking away a thin layer of material (~ 40 µm). This removal was accomplished by electro-polishing with an acetic acid (94%) and perchloric acid (6%) solution.

Wettability Measurements
The water contact angle was studied to explore surface wettability via Krüss DSA 100 by sessile drop technique, and image analysis (OCA-20, Dataphysics Instruments). A pipette was used to pour approximately 2 μL of ultrapure distilled water into the samples. The data were recorded by taking 10 different measurements from the surfaces. Additionally, the average value of the static contact angle was calculated.
(Specimen preparation for microstructural evolution and other experiments is schematically illustrated in Appendix 1.)

Fatigue Test
The SANTAM SAF-250 universal test machine was used to carry out fatigue test under tension-tension loading conditions. The mean stress was considered a positive value, and the stress ratio of R = 0.1. The loading frequency of 20 Hz was applied to all fatigue tests. In the present study, 20 fatigue test samples were employed to develop the S-N diagram for each treatment and SP conditions. The fatigue test was performed at 10 different stress levels. Hence, the mean fatigue life of the two specimens was considered as the fatigue life at the corresponding cyclic load level [53]. The number of cycles to failure increases by decreasing stress amplitude until the S-N curve turns into a horizontal line at a particular limiting stress. This value is the fatigue limit endurance upto which the material can bear an infinite number of cycles without failure [54,55]. The fatigue limit endurance may be measured through the JSME S 002 standard [56] and using the staircase method.

Response Surface Methodology
Response surface methodology (RSM) is both a statistical and mathematical approach for modeling, analysis, and optimization of real engineering problems. Here, optimization is performed by making a detailed analysis of the responses in terms of several input variables. RSM has been particularly useful in manufacturing and materials sciences for several decades. Metal cutting processes take advantage of RSM optimization [57,58]. In addition, RSM has entered materials sciences [59]. With regard to SP, prevention of Almen strip wastes and time during the detection of pre-shot peening conditions make the usability of statistical methods meaningful. Therefore, RSM is applied to optimize Almen intensity in terms of surface roughness, surface residual stress, surface nanocrystallization, and surface mechanical properties [60,61]. In this study, the influence of Almen intensity (A) and surface coverage (B) was determined on the deformed layer thickness, surface microhardness, surface roughness, surface residual stress, maximum compressive residual stress, and water contact angle (WCA).
RSM is depicted by response surface "Y" as a second order polynomial regression equation.

Taguchi Method
Different Design of Experiments (DOE) methods have been proposed to reduce the number of tests and laboratory costs associated with classifying effective parameters in each process. The results of this analysis can be used to determine the most important effective parameter as well as ineffective parameters on the response. In the last decade, many studies have been done to optimize SP parameters such as shot size, speed, pressure, and nozzle distance by using the Taguchi method. In this research, tensile strength, surface roughness, and surface residual stress were considered as an optimization target function. Sun et al. [62] have optimized laser peening parameters by using FEM and Taguchi approach. Three different parameters including laser power, pulse width, and laser shot diameter have been used as the inputs, and surface residual stress has been considered an output. Pathak and Munjadas [63] have optimized parameters of SP process on the Al 2024 alloy specimens. They reported the effects of shot size, shot velocity, impact angle, and shot distance on surface residual stress and surface roughness. Besides, the effects of shot peening parameters (shot diameter, speed, and duration of treatment as time) have been investigated on the surface roughness and tensile strength of AA 6061 [64]. Jamaluddin et al. [65] have improved the quality of shot blasting process by applying Taguchi approach and performing various tests. Empirical studies have been done on the SP parameters for welded austenitic stainless steel in association with surface hardness and static strength [66]. In addition to the above parameters, flow rate is also considered an important and effective parameter of SP process [67]. The effects of SP parameters on the ultimate strength of low carbon steel have been explored by carrying out tensile tests on v-notched specimens (angle and depth of notch are 45 degree and 2 mm, respectively) [68].
As a novelty of the present research, TM, one of the most common DOE techniques, has been used to perform a comprehensive study into the impact of shot peening parameters on metallurgical and mechanical properties of 316L stainless steel biomaterial. To this end, a large number of experiments were carried out. Two effective variables of SP treatment including Almen intensity and surface coverage were used at the five different levels to create Taguchi algorithm as shown in Fig. 4. Table 3 shows the symbols used for the variables as the control factors and their level of test. In the present analysis, an L25 orthogonal array was used to run the experiment as indicated in Table 4.
Moreover, various outputs were investigated and it was revealed that increasing the value of some outputs (type I) and reducing the value of some others (type II) produce beneficial effects.
Type I outputs include depth of deformed layer, surface microhardness, surface residual stress, and maximum residual stress.
Type II outputs include surface roughness and surface wettability.
Here, in order to maximize outputs type I, the larger the-better type is employed to calculate S/N ratios using Eq. (10) [69][70][71]: where y 1 , y 2 , … , y n stands for the bent angles calculated in the bending process, and every bending condition is repeated n times. Also, in order to minimize outputs type II, the smaller the-better type is employed to calculate S/N ratios using Eq. (11): Fig. 4 Conceptual structural of TM according to the considered input and output parameters 1 3 In order to compare the results of various output parameters with different dimensions, Regulated Deficit Irrigation (RDI) is used as a dimensionless method that is based on maximum and minimum values of the solution as follows Eq. (12) [72]:

Microstructural Characterization
Cross-sectional OM images of plastically deformed specimen's surfaces after applying SP treatments are shown in Fig. 5. The figure depicts OM observations for all of the considered intensities and four coverages of 100, 500, 1000, and 1500% for each respective Almen intensities. It can be seen that by increasing the severity of the SP process through raising the values of Almen intensity and coverage, the depth of the plastic deformation in the surface layer improves as well. Figure 6 exhibits  the FESEM images of shot peened specimens. In Fig. 6a, c, the change in the effect of surface coverage could be identified at the constant Almen intensities of 12A and 27A, respectively. The lowest and highest conditions of Almen intensity indicate the capability of surface coverage within the context of layer depth and nanocrystallization. Figure 6c shows effective nanocrystallization on behalf of the highest Almen intensity and coverage. Since at the same magnification, the structurally evolved layer covers the surface on solely. In Fig. 6b, different Almen intensities of 15, 18, 21, and 24A have been compared at the same value of coverage (750%). It can be observed that by increasing intensity and coverage simultaneously, grain refinement in the surface layer improves, and by increasing intensity, surface roughness rises. In order to have a better understanding about the condition of grain refinement by the SP process at a high severity, highly magnified FESEM images of some of the considered samples with Almen intensities of 15, 18, 21, and 24 A and the highest coverage of 1500% have been presented in Fig. 7. The created UFG and NS grains and layers, that reducing grain sizes to the refined grains scale, clearly realized near the top surface layer. As reported by Chamanfar et al. [73], and Bagherifard et al. [45], this layer, representing a brittle white layer near the surface, is considered to be the fine-grained layer. Notwithstanding the existence of a fine-grained layer, it is possible to trigger cracks to nucleate and initiate on this layer. The presence of the unetchable properties complicates determining the structure of compounds or phases on this layer, although it is fairly hard and thermally stable [74]. Also, Saitoh et al. have demonstrated with same coverage of 750%, and c treated specimens with same intensity of 27A with different coverages of 500 and 1500% with respect to creation of the NS grains in the surface layer that the sharp boundaries between NS and UFG layers can be observed [75]. Although surface nanocrystallization by the SSP process was revealed through FESEM observations, XRD measurements were performed to achieve a greater certainty in this regard and to determine the size of the surface grains. Treated specimens with the highest coverage (1500%) were chosen for each considered intensity. The XRD patterns of treated specimens are displayed in Fig. 8. As mentioned, the crystallite sizes of specimens in the surface layer were determined by Scherer's equation based on the value of FWHM of a diffraction peak (Table 5).

Measurements in Plastically Deformed Layer
Different experimental measurements of hardness, roughness, residual stress, and wettability were carried out in the plastically deformed surface layer. Moreover, the results of microstructural characterization were used to calculate the depth of the deformed layer. The depth of this layer of coarse grains (similar to the grains of the not shot peened material) can be considered as the depth of the deformed layer [76,77]. In this study, an average of seven times measurements of depth in different areas was regarded as the depth of the deformed layer. As an example, determination of the depth of deformed layer for the shot peened specimen having an  intensity of 21A and 500% coverage is shown in Appendix 2. The results of experimental measurements are presented in Fig. 9. It can be observed that both parameters of Almen intensity and surface coverage, directly related to one another, have a considerable influence on depth of the deformed layer (Fig. 9a, b). Surface roughness measurements (Fig. 9c) showed that by increasing surface coverage at a fixed intensity, roughness rises initially and then it is stabilized at the surface coverage of 200%-400%. However, it decreases at surface coverage of 1000%-1200%. Surface morphology of some shot peened specimens is illustrated in Appendix 3, confirming the roughness measurements. In the same coverage, intensity has a direct relation with roughness as well (as shown by FESEM observations in Fig. 6). Surface wettability of the shot peened steel 316L (Fig. 9d), as one of the main parameters of biocompatibility, decreased as the severity of SP process. Amount of the surface wettability can directly mediate the absorption of proteins to the implant surface and therefore, affect cell adhesion and its functions at the implant-tissue interface. Surface morphology and roughness and grain refinement are the main parameters that influence the surface contact area. In addition, surface energy and consequently enhancing the interaction of the substrate with the wetting medium have considerable effects [46]. The results indicated that the shot peened surface becomes more hydrophilic, with increased wettability observed, as its severity rises above the as-received material.
XRD stress measurements were employed to determine various distributions of residual stress in the treated specimens. For instance, in Fig. 6e, f, the residual stress distribution of shot peened specimens was compared under different Almen intensities of 12 and 21A by considering different values of coverage is presented. The as-received specimen (not shot peened) exerts approximately − 25 MPa compressive residual stresses on the surface; however, more compressive residual stresses are induced in the surface layer with the application of SP treatments.
The magnitude of compressive residual stress (CRS) depends on the severity of SP process. In Fig. 6g, h, surface residual stress and maximum value of residual stress in depth are presented, respectively. It is evident that by increasing both Almen intensity and surface coverage, the CRS value is enhanced. Nevertheless, as it can be clearly observed and as previously reported by Maleki et al. [26,40,42], Almen intensity has stronger effects than surface coverage on inducing residual stress.

RSM Results
The Almen intensity and surface coverage factors were determined by using ANOVA regression analysis. The effect and capability of the factors were evaluated for six responses (depth of deformed layer, surface ssmicrohardness, roughness, residual stress, and water contact angle). The factors and interactions were identified as "Almen intensity (A)", "surface coverage (C)", "Almen intensity*Almen intensity (A 2 )", ""surface coverage*surface coverage (C 2 )" and "Almen intensity*surface coverage (AC)", respectively. The regression analysis was significant for all of the responses ( Table 6). The P value extracted from the analysis points to the significance of the model under the value of 0.05. Otherwise, the factors and interactions should be defined as "insignificant" terms. The R-sq (%) of all responses exceeded 97%. Thus the model could be accepted as usable, and the outputs are predictable for the responses. The R-sq (adj) (%) and R-sq (pred) (%) pass 96% for all responses and demonstrates the significance of the model. According to Table 6, surface coverage is the predominant factor in determining the deformed layer depth, as the P values of surface coverage prove its significance. Almen intensity by itself is an insignificant factor for the response. Figure 10a reveals the slope of the curves and distinguishes surface coverage as the principal factor. Surface microhardness is influenced positively by both factors due to the its low P values. It is only the term "A 2 " which is insignificant for the model. Figure 10b shows that microhardness improves in a descending order through the severity of the factors individually. In other words, a harder layer could only be obtained with higher Almen intensities and at lower coverage values. The factors are significant except the term "AC" for surface roughness. However, the curves slope are nearly zero (horizontal) (Fig. 10c). Roughness remains largely stable, although coverage increases at a constant Almen intensity. The P value of surface coverage closer to the critical boundary of significance expresses the behavior of the factor on roughness. The more effective parameter for residual stress exposure is Almen intensity (Fig. 10d). Surface coverage loses its effect substantially as a result of the exertion of maximum CRS (Fig. 10e). WCA regression analysis shows the only parameter that has a significant influence is the interaction of "AC". Thus, Almen intensity and surface coverage have no remarkable effects individually. The increase of this interaction results in a lower impact than that obtained through WCA. The RSM analysis was confirmed by six individual measurements ( Table 7). The experiment and predicted results were compared and error percentage was evaluated. The predicted values were assessed for each response by regression equations (see Appendix 4). The arithmetic mean of errors was 2%. Error percentage was below 0.69% for surface microhardness individually and 1.34% for WCA. The confirmation tests provided by the model are consistent with different practical applications.

Taguchi Method Results
Taguchi sensitivity analysis was performed at every level of input parameters. The main effects of S/N ratios are plotted in Fig. 11. And the effect rate of each response in terms of various inputs is depicted in Fig. 12 (A and B symbols representing Almen intensity and surface coverage, respectively).
As shown in Fig. 12, Almen intensity is the more effective parameter for surface roughness, surface residual stress and maximum value of residual stress in depth. Conversely, the more effective parameter for depth of deformed layer is surface coverage. However, the effect of both input parameters is approximately equal for surface microhardness and wettability.

Optimization
In this study, Almen intensity and surface coverage were assessed as two inputs for the responses of deformed layer depth, surface microhardness, surface roughness, surface and maximum value of residual stress, and WCA alterations. The greater values of deformed layer, hardness and CRS afford a better SP process. On the contrary, the roughness values should be kept at their minimum intervals for dynamic applications. To this end, two different methods of RSM and TM were used to optimize SP parameters.

Optimization Through RSM
The optimization was carried out by Minitab Response Optimizer. The Almen intensity of 25.2183 (0.01 mm A) and surface coverage of 1500% were optimized with a composite desirability value of 0.7086 (Fig. 13). Given the optimized factors, maximum and surface CRSs were respectively optimized with − 626.6756 and − 379.5670 MPa, by overcoming the desirability value of 0.90. Surface hardness was optimized with 480.0854 HV, and depth of deformed layer reached 171.3848 µm.

Optimization Through TM
The optimization was undertaken by utilizing the results of Taguchi approach for 2 different cases. The purpose of the first case was to obtain optimal shot peening parameters and their corresponding output values by taking into account all the results of (R1-R6). But in the second case, which focused on the improvement of fatigue life, surface wettability was disqualified as an output. This is because each of the other outputs directly or indirectly affects fatigue life of components. The results of optimization analysis via Taguchi approach are reported in Table 8.

Fatigue Test Results
RSM determined that optimized Almen intensity is 25.2183A and the results of TM indicated that 26.12736A and 20.90548A are optimized values for two cases I and II, respectively. The optimized value for surface coverage is 1500%, based on both methods. Therefore, three different treatments including 21-S1500, 24-S1500, and 27-S1500 were selected to investigate the effects of various surface treatments on the fatigue behavior of 316L stainless steel. The results of fatigue tests including S-N curves and fatigue limit of smooth and notched specimens are illustrated in Fig. 14.  samples) is used, the number of cycles to failure will be very low, even in the low-cycle region or where static failure occurs (one or more loading cycles). Hence, one of the common methods for comparing the fatigue limit of these two samples (notched and un-notched) is to keep constant the number of cycles to failure and calculate the stress accordingly. In the present research, a large number of experiments were done to graphically compare the endurance fatigue limit of these two types of specimens. As shown in Fig. 14 (S-N curves), the longest fatigue life is associated with severe shot peening treatment of 27-S1500, whose SP parameters were obtained via TM as the optimized values (for case I). Moreover, the fatigue limit of the 27-S1500 specimen is the highest in both modes of smooth and unnotched fatigue in comparison with other types of SP treatments. Table 9 summarizes the effects of different SP treatments on the fatigue strength of 316L stainless steel.
The results imply that SSP processes have been able to significantly improve fatigue strength, especially in the case of SSP: 27 A & 1500% treated specimens. Specially, 67.4208% and 81.25% enhancements were observed respectively for smooth and notched specimens. The data reported in Table 10 reveal that the influence of SP process on fatigue life improvement will rise by increasing the number of loading cycles. On the other hand, this treatment is more effective if lower stress amplitudes are applied. Moreover, fatigue strength improvement of notched specimens surpassed that smooth specimens in all cases examined. This finding shows that the effect of SP treatment in the crack growth stage is greater than that in the stage of crack germination. In other words, the consequence of this process on the crack growth rate is more significant than its effect on the overall life of the component (S-N).
In addition, to have a better understanding about the mechanism of fatigue behavior of the treated specimens, the surface local fatigue of smooth specimens was calculated. This approach correlates the surface local fatigue strength to surface hardness and residual stress, which are generally determined for the surface-hardened material [78,79]. The surface local fatigue strength is determined by utilizing the following relationship [80]: Hv 2 )X * Fig. 13 The optimization of the model by RSM where surface local fatigue (σ sw ), is considered to be a function of base fatigue limit (σ w0 ), ultimate tensile strength (R m ), induced surface microhardness (H V ), surface residual stress (σ s,res ), mean applied stress (σ m ), as well as applied relative stress gradient (X*). It was obtained about 787 MPa for the conventional SP process. The relative values of surface local fatigue of smooth specimens are depicted in Fig. 15. It can be observed that besides the results of the experiments, theoretically by increasing the severity of SP process, heightens the required stress for crack initiation.

Summary and Conclusion
In the present research, a comprehensive study was undertaken on the shot peening of steel AISI 316 L biomaterial. A total of 42 different SP treatments with varying Almen intensities of 12-27 A and various coverage degrees of 100-1500% (from conventional to severe) were applied to experimentally investigate the mechanical properties of 316L biomaterial. The experimental results revealed that increasing SP severity, is followed by a rise in the depth of plastically deformed layer, surface microhradness, surface residual stress and maximum compressive residual stress, but a considerable drop in the water contact angle. Moreover, the rise of SP severity causes surface roughness increase initially, yet a further SP severity stabilizes surface   roughness. Eventually, in the third step, surface roughness falls as a result of SP severity. Two different methods of response surface morphology, and Taguchi method were utilized for parametric analysis and optimization which were conducted based on the experimental results. The results of the three approaches are largely in line have very good agreement with experimental results. Parametric analysis demonstrated that heightening Almen intensity and surface coverage plays a considerable role in the increase of the depth of plastically deformed layer, surface hardening and rising of induced compressive residual stress. Parametric analysis of surface roughness showed that intensity of peening has a greater effect than surface coverage; also, it can be seen that increasing surface coverage leads to a reduction in roughness. On the other hand, by enhancing the inputs, surface wettability decreases and becomes more hydrophilic.
Moreover, sensitivity analysis determined the effective parameters and the SP process was optimized according to the experiments. Table 10 summarizes the related results; TM was used for sensitivity analysis to achieve the relative importance of the each input parameters.
Finally, after optimization and determination of the optimal values of Almen intensity and coverage through two approaches of RSM and TM, different smooth and notched fatigue specimens were prepared with desirable conditions to investigate the fatigue behavior via axial fatigue tests. The results illustrated that the SSP processes improve fatigue strength significantly. This was particularly the case for SSP: 27A & 1500% treated specimens, which revealed enhancements of 67.4208% and 81.25% for smooth and notched specimens, respectively.
It can be concluded that if alternative approaches such as RSM and TM are adjusted carefully, it is possible to achieve results that approximate experimental observations. Hence, these approaches can be employed as powerful tools for modelling, analyzing and optimizing widely used processes such as SP.