International Journal of Mechanical Engineering and Mechatronics (IJMEM)

ISSN: 1929-2724

1. Introduction

The manufacturing processes of fasteners generally include wire-manufacturing, forming, heat treating, coating. A cold-heading-quality alloy steel rod is used to manufacture wire for cold heading. Generally, the wire that is spheroidizing-annealed-in-process is produced by drawing wire coil into wire, followed by heat treatment, cleaning and coating, and then a final drawing operation for cold forming. A cold heading quality AISI 1022 steel wire is widely used to manufacture self-drilling screw and tapping screw.

For wire-manufacturers, some companies simply purchase steel wires, cold reduce, and spheroidize them before selling to bolt manufacturers; some companies are bolt manufacturers who spheroidize the wires themselves before cold heading. Most companies were using a subcritical process by simply prolonged holding at a temperature just below Ae₁ [1].

Spheroidizing provides the needed ductility for cold heading [1]. Spheroidization of cementite lamellae through spheroidize annealing improve the ductility of steel [2]-[4]. Rad-Con Inc. (Cleveland, OH, USA) provided a spheroidized annealing process that produced steel wire with little or no decarbonization under completely computerized control [2]. O’Brien and Hosford [5] investigated spheroidization of medium carbon steels, AISI 1541 and AISI 4037, used in the bolt industry with two process cycles, intercritical cycle and subcritical cycle. Das et al. [6] studied a cold heading quality steel wire obtained from two different sources, which are used for manufacturing one automobile fastener. Both wires are spheroidize annealed and phosphate coated. The microstructures, compositions, and mechanical properties were evaluated to establish the characteristics of a good stock wire that can improve the tool life leading to higher productivity and product quality. The spheroidizing treatment consumes the most time of bolt manufacture. Commercial spheroidization of coils usually takes many hours.

Taguchi method is a quality improvement technique that uses experimental design methods for efficient characterization of a product or process, combined with a statistical analysis of its variability with the fact that pre-production experiments, properly designed and analyzed, can significantly contribute to efforts towards the accurate characterization and optimization of industrial processes, the quality improvement of products, and the reduction of costs and waste [7]. For heat treatment of steel, many studies proposed the use of Taguchi’s parameter design to obtain optimum condition with minimum number of experimental and lower cost [8]-[13]. A series of experimental tests on AISI 1022 low carbon steel wire were carried out and Taguchi method is used to obtain optimum spheroidized annealing conditions to improve the mechanical properties of steel wires for cold forming [13] and, with the new spheroidizing parameter settings, the performance measures were effectively improved over their value at the original settings.

The quality of spheroidize annealed wire affects the forming quality of screws. Various parameters affect the quality of spheroidized annealing such as spheroidized annealing temperature, prolonged heating time, furnace cooling time and flow rate of nitrogen (protective atmosphere). The effects of spheroidized annealing parameters affect the quality characteristics of wires, such as tensile strength and hardness.

In this study, based on the prior study [13], Taguchi method is used to optimize spheroidized annealing conditions to improve the mechanical properties of two AISI 1022 low carbon steel wires, which are obtained from two sources identified as W_A (f5.5mm) [13] and W_B (f6.5mm). The quality of wire W_A is better than wire W_B, while wire W_B is cheaper. Before cold heading, both of these wires are spheroidizing annealed after drawing wire coil to the same wire size with section-area reductions of about 60% for wire W_A and 70% for wire W_B, respectively.

2. Optimal Experiment Design

Two AISI 1022 low carbon steel wires are investigated in this study. Their chemical compositions are listed in Table 1. A subcritical process is used for spheroidized annealing of the steel wires, prolonged holding at a temperature just below Ae₁, then cooling in the furnace, the procedure as shown in Figure 1.

Table 1. Chemical composition of AISI 1022 low carbon steel wires (wt.%).

Wire	C	Mn	P	S	Si	Ni	Cr	Cu	Ti	Al
WA [13]	0.22	0.76-0.77	0.012-0.013	0.002-0.008	0.02-0.04	0.01-0.03	0.04	0.01-0.08	-	0.030-0.034
WB	0.19-0.22	0.73-0.79	0.012-0.029	0.003-0.010	0.03-0.07	0.00-0.01	-	0.01-0.02	0.0570-0.0754	0.0291-0.0494

Four process parameters with three levels listed in Table 2 are selected as the experimental factors. Every factor has three levels to spheroidize wires to evaluate the mechanical properties of wires. The parameters of Level 2 were the original spheroidized annealing process parameters for wires W_A and W_B. That is, with 10 m³/hr nitrogen to prevent decarbonization under completely computerized control, the steel wire coils were heated in the furnace to 700 °C just below Ae₁, holding and prolonged 7.5 hours, then cooling in the furnace for 8.0 hours.

Taguchi method allows the changing of many factors at the same time in a systematic way, ensuring the reliable and independent study of the factors’ effects. The orthogonal array table, L₉(3⁴), is used as an experimental design for these four factors [14], as listed in Table 3.

Spheroidizing provides the needed ductility for cold heading. Through spheroidized annealing, the ductility of steel wire may be improved, and the hardness may be reduced as well. When the hardness is reduced to improve the ductility of the steel wire through spheroidized annealing, the strength of the steel wire is simultaneously decreased. However, a given strength of the annealing steel wire has to be provided for cold heading. Therefore, the tensile strength of the steel wire is the main quality characteristic, with a target value of 383 MPa, which is assigned by the company. Each test result, including ten specimens, followed by each fabricated process and transformed to S/N ratio (signal to noise ratio). The S/N ratio for the nominal-the-best response is [14].

wherem is mean of each test result, m is target value, and S is standard deviation. The tensile tests are conducted on a 30 ton universal testing machine under a constant ram speed of 25 mm/min. The dimensions of the tensile specimen are f3.5mm × L300mm.

Table 2. Experimental factors and their levels for L₉ orthogonal array.

Factor		Level 1	Level 2	Level 3
A	Spheroidized annealing temperature (°C)	695	700	705
B	Flow rate of nitrogen (m3/hr)	5	10	15
C	Furnace cooling time (hr)	7.5	8.0	8.5
D	Prolonged heating time (hr)	7	7.5	8

Table 3. L₉(3⁴) orthogonal array experimental parameter assignment.

Exp. No.	A: Spheroidized annealing temperature (°C)	B: Flow rate of nitrogen (m3/hr)	C: Furnace cooling time (hr)	D: Prolonged heating time (hr)
L1	695	5	7.5	7.0
L2	695	10	8.0	7.5
L3	695	15	8.5	8.0
L4	700	5	8.0	8.0
L5	700	10	8.5	7.0
L6	700	15	7.5	7.5
L7	705	5	8.5	7.5
L8	705	10	7.5	8.0
L9	705	15	8.0	7.0

Analysis of variance (ANOVA) is an effective method to determine the significant factors and the optimal fabrication conditions to obtain optimal quality. For Taguchi method, the experimental error is evaluated with ANOVA to carry out the significance test of factors. The nature of interaction between factors is considered as experimental error [14]. As the effect of a factor in comparison to the experimental error is sufficiently large, it is identified a significant factor. The confidence level of a factor is evaluated with experimental error to identify the significant factor influenced the material property of spheroidized annealing wire.

3. Results and Discussion

For the drawn steel wire, which is not yet spheroidized annealed, the tensile strength and hardness are 822MPa and 285HV for wire W_A [13], and 759MPa and 263HV for wire W_B, due to heavy plastic work. Spheroidizing is the process of producing a microstructure in which the cementite is in a spheroidal distribution. The globular structure improves the formability of steel wires. When the wire is fabricated following the original spheroidized annealing process conditions (level 2 in Table 2), the mean tensile strength and mean hardness are 388.7MPa and 141.3HV for wire W_A [13], and 376.8MPa and 138.8HV for wire W_B. They are about half of the non-spheroidized wires.

The experiment results of the tensile strength and hardness (mean, μ; standard deviation, S; and S/N ratio) are shown in Tables 4 [13] and 5 respectively for wires W_A and W_B. The mean tensile strength varies from 372.0 to 407.0 MPa for wire W_A (Table 4a), and varies from 370.4 to 419.9 MPa for wire W_B (Table 5a). The deviations of the test results for wire W_A are obviously smaller than wire W_B. For wire W_A, the mean tensile strengths of tests L2, L3 and L7 are smaller than the target value, as shown in Table 4a. While for wire W_B, almost all the mean tensile strengths of tests (L2, L4~L9) are smaller than the target value, as shown in Table 5a.

The mean hardness varies from 134.0 to 147.7HV for wire W_A (Table 4b), and varies from 127.8 to 155.0HV for wire W_B (Table 5b). The deviations of the test results for wire W_A are similar to wire W_B. For wire W_A, the mean hardness of tests L2, L3 and L8 are smaller than the value at the original settings, as shown in Table 4b. While for wire W_B, the mean hardness of tests L4, L6 and L9 are smaller than the value at the original settings, as shown in Table 5b. The properties of spheroidizing annealed steel wires are obviously altered with various spheroidized annealing process conditions.

Table 4. The experimental results for wire W_A [13]. (a) Tensile strength; (b) Hardness.

(a)

Exp. No.*	T1	T2	T3	T4	T5	T6	T7	T8	T9	T10	μ(MPa)	S	S/N Ratio
L1	417	409	362	387	417	407	403	398	400	376	397.6	16.96	−27.10
L2	365	370	374	359	380	387	398	340	382	335	368.9	18.93	−27.38
L3	411	379	381	365	367	360	365	367	372	354	372.0	15.02	−25.29
L4	388	415	409	413	398	366	385	403	400	390	396.8	14.18	−26.06
L5	400	373	385	386	414	382	397	412	409	432	398.9	17.16	−27.48
L6	381	415	427	411	417	413	407	413	398	388	407.0	13.24	−28.88
L7	377	369	375	391	356	374	381	377	387	394	378.1	10.68	−21.28
L8	376	384	388	387	393	401	399	393	391	378	389.1	8.00	−20.25
L9	394	386	374	392	382	412	400	392	378	398	390.8	10.90	−22.71

(b)

Exp. No.*	T1	T2	T3	T4	T5	T6	T7	T8	T9	T10	μ (HV)	S
L1	147	145	147	148	148	144	152	154	155	137	147.7	4.98
L2	153	136	135	145	151	137	133	137	136	135	139.8	6.81
L3	138	136	144	146	145	144	135	149	142	133	141.2	5.08
L4	148	145	148	143	147	150	148	146	137	143	145.5	3.56
L5	141	132	144	140	142	161	139	142	137	138	141.6	7.20
L6	141	147	149	143	147	143	148	144	146	155	146.3	3.77
L7	151	141	147	144	137	143	142	154	135	138	143.2	5.76
L8	138	133	135	131	139	134	138	133	126	133	134.0	3.66
L9	146	147	148	146	145	136	148	142	139	144.1	3.78

*: Experimental conditions as defined in Table 3; μ: mean value of test results.

Table 5. The experimental results for wire W_B. (a) Tensile strength; (b) Hardness.

(a)

Exp. No.*	T1	T2	T3	T4	T5	T6	T7	T8	T9	T10	μ(MPa)	S	S/N Ratio
L1	363	393	420	377	438	447	429	438	400	417	412.1	26.55	-31.98
L2	365	370	374	359	380	387	398	340	382	335	368.9	18.93	-27.38
L3	447	435	433	420	430	363	418	392	429	433	419.9	23.38	-32.87
L4	384	380	370	361	371	357	366	363	374	380	370.4	8.35	-23.38
L5	346	414	397	372	387	395	368	439	343	351	381.3	29.45	-29.39
L6	390	371	389	385	379	356	347	382	340	337	367.7	19.52	-27.80
L7	366	373	343	399	372	401	369	354	342	408	372.8	22.27	-27.72
L8	389	335	403	357	379	337	354	395	369	381	369.9	22.47	-28.23
L9	367	362	364	358	388	379	363	370	372	351	367.4	10.04	-25.21

(b)

Exp. No.*	T1	T2	T3	T4	T5	T6	T7	T8	T9	T10	μ (HV)	S
L1	141	142	140	151	142	149	148	142	146	141	144.2	3.74
L2	153	136	135	145	151	137	133	137	136	135	139.8	6.81
L3	153	160	165	156	155	162	152	154	146	147	155.0	5.78
L4	137	130	126	123	125	129	127	126	130	125	127.8	3.76
L5	148	146	144	145	146	143	154	151	146	149	147.2	3.19
L6	137	129	140	139	138	134	137	131	144	140	136.9	4.25
L7	150	149	146	148	154	161	147	159	163	151	152.8	5.83
L8	148	137	156	158	150	139	141	138	156	139	146.2	7.95
L9	136	132	121	133	132	129	136	144	128	133	132.4	5.68

*: Experimental conditions as defined in Table 3; μ: mean value of test results.

3. 1. Wire W_A

To obtain optimum quality, analysis of variance (ANOVA) is an effective method to determine significant factors and optimum fabrication conditions. The confidence levels listed in Table 6 may identify the significant factor influenced the tensile strength of wire W_A. The contribution of a factor is the percentage of sum of square (SS), that is, the percentage of the factor variance to the total quality loss [14]. The effect of a factor may be pooled to error if its confidence level or contribution is relatively small. For S/N ratio, as shown in Table 6b [13], the contribution of spheroidized annealing temperature (A) is 87.0% of the total variation, which is the highest contributor to the variability of the experimental results. The contribution of prolonged heating time (D) is 10.2%, which is the second highest contribution. However, the factors of the furnace cooling time (C) and the flow rate of nitrogen (B) are not significant for the S/N ratio because their contributions are relatively small. With pooling of errors, the confidence levels are 99.9% and 95.4% respectively for spheroidized annealing temperature (A) and prolonged heating time (D), Therefore, both factors, especially the spheroidized annealing temperature, are significant which may be used to decrease the variance [14]. The factor of furnace cooling time (C) is not significant for S/N ratio, but is significant (100% confidence level) for quality characteristic, as shown in Table 6a, which may be used as an adjustment factor. The factor of flow rate of nitrogen (B) is not significant for either S/N ratio or quality characteristic, which may be used to reduce the cost.

Figure 2 illustrated the factor response diagrams and the level averages of four factors with respect to the quality characteristic and S/N ratio. For each factor, the effect is the range of the level averages. For S/N ratio, the maximum level average is the optimum level [7][14]. It is revealed that, for the four factors, most of  the level averages are larger than the target value, as shown in Figure 2a; and the original levels (Level 2), as shown in Figure 2b [13], are not the optimum fabricating parameters to obtain the target tensile strength for wire W_A. Obviously for the significant factors, spheroidized annealing temperature (A) and prolonged heating time (D), the optimum conditions are respectively A3 (spheroidized annealing temperature, 705 °C), D3 (prolonged heating time, 8 hr). For the other two factors, flow rate of nitrogen (B) and furnace cooling time (C), their effects of S/N ratios are relatively small, as shown in Figure 2b [13]. The effect of quality characteristic of flow rate of nitrogen (B), as shown in Figure 2a, is relatively small, too, which can be a factor to reduce the cost, therefore, B1 (flow rate of nitrogen, 5 m³/hr) is chosen as the optimum condition. However, the effect of quality characteristic of furnace cooling time (C) is obviously important, as shown in Figure 2a, which may be a adjustment factor, and C2 (furnace cooling time, 8 hr) is chosen as the optimum condition.

Table 6. Variance analysis table for wire W_A. (a) Quality characteristic; (b) S/N ratios [13].

(a)

Factor	SS	DOF	Var	F	Confidence	Contribution
A	7,234	2	3,617	15.9	100.0%	22.5%
B	471	2	235	1.0	64.1%	1.5%
C	3,823	2	1,911	8.4	100.0%	11.9%
D	2,216	2	1,108	4.9	99.0%	6.9%
Error	18,395	81	227	Sexp = 15.1
Total	32,139	89	*At least 99.0% confidence level

Pooling of errors

Factor	SS	DOF	Var	F	Confidence	Significance
A	7,234	2	3,617	15.9	100.0%	Yes
B	Pooled
C	3,823	2	1,911	8.4	100.0%	Yes
D	2,216	2	1,108	4.9	99.0%	Yes
Error	18,866	83	227	Sexp = 15.1
Total	32,139	89	*At least 99.0% confidence level

(b)

Factor	SS	DOF	Var	Contribution
A	64.3	2	32.13	87.0%
B	1.1	2	0.53	1.4%
C	1.0	2	0.51	1.4%
D	7.5	2	3.77	10.2%
Total	73.9	8		100.0%

Pooling of errors

Factor	SS	DOF	Var	F	Confidence	Significance
A	64.3	2	32.13	62.1	99.9%	Yes
B	Pooled
C	Pooled
D	7.5	2	3.77	7.3	95.4%	Yes
Error	2.1	4	0.52	Sexp = 0.72
Total	73.9	8	*At least 95.0% confidence level

SS: sum of square; DOF: degree of freedom; Var: variance; F: F-test; Sexp: experimental error.

In order to confirm the robust design of results, wire W_A was fabricated followed the optimum levels: A3, B1, C2 and D3. Figure 3 shows the original (using level 2s in Table 2) and optimum probability distributions respectively for tensile strength and hardness of wire W_A. As comparing with the original results, the optimum mean of tensile strength is 385.9 MPa, which is closer to the target value, and the deviation decreases about 30.6%. The optimum mean hardness of 131.4 HV is obviously decreased compared to the original mean hardness of 141.3 HV, as shown in Figure 3b, and also the deviation decreases about 43.5% compared to the original result. The new parameter settings evidently improve the performance measures, such as ductility and strength, over their value at the original settings. The optimum result improve the ductility and the strength of wire W_A, and so the formability is effectively improved.

3.2. Wire W_B

With analysis of variance (ANOVA), the confidence levels listed in Table 7 identify the significant factor influenced the tensile strength of wire W_B. For S/N ratio, the contribution of furnace cooling time (C) is 54.3% of the total variation, which is the highest contributor to the variability of the experimental results. The contribution of spheroidized annealing temperature (A) is 40.6%, which is the second highest contribution. With pooling of errors, the confidence levels are 98.7% and 99.3% respectively for spheroidized annealing temperature (A) and furnace cooling time (C), as shown in Table 7(b).

Therefore, both factors are significant which may be used to decrease the variance [14]. The factor of prolonged heating time (D) is not significant for S/N ratio, but is significant (99.5% confidence level) for quality characteristic, as shown in Table 7a, which may be used as an adjustment factor. The factor of flow rate of nitrogen (B) is not significant for either S/N ratio or quality characteristic, which may be used to reduce the cost.

Table 7. Variance analysis table for wire W_B. (a) Quality characteristic; (b) S/N ratios.

(a)

Factor	SS	DOF	Var	F	Confidence	Contribution
A	16,612	2	8,306	16.7	100.0%	22.7%
B	2,726	2	1,363	2.7	92.9%	3.7%
C	7,745	2	3,873	7.8	99.9%	10.6%
D	5,828	2	2,914	5.9	99.6%	8.0%
Error	40,294	81	497	Sexp = 22.3
Total	73,205	89	*At least 99.0% confidence level

Pooling of errors

Factor	SS	DOF	Var	F	Confidence	Significance
A	16,612	2	8,306	16.0	100.0%	Yes
B	Pooled
C	7,745	2	3,873	7.5	99.9%	Yes
D	5,828	2	2,914	5.6	99.5%	Yes
Error	43,020	83	518	Sexp = 22.8
Total	73,205	89	*At least 99.0% confidence level

(b)

Factor	SS	DOF	Var	Contribution
A	28.7	2	14.4	40.6%
B	1.4	2	0.7	1.9%
C	38.4	2	19.2	54.3%
D	2.3	2	1.1	3.2%
Total	70.7	8		100.0%

Pooling of errors

Factor	SS	DOF	Var	F	Confidence	Significance
A	28.7	2	14.4	15.8	98.7%	Yes
B	Pooled
C	38.4	2	19.2	21.1	99.3%	Yes
D	Pooled
Error	3.6	4	0.9	Sexp = 0.95
Total	70.7	8	*At least 95.0% confidence level

SS: sum of square; DOF: degree of freedom; Var: variance; F: F-test; Sexp: experimental error.

Figure 4 presented the factor response diagrams of four factors respectively respected to quality characteristic and S/N ratio. It is revealed that, almost half of  the level averages are smaller than the target value, as shown in Figure 4a; and the original levels, except flow rate of nitrogen (B), are the optimum fabricating parameters to obtain the target tensile strength for wire W_B. For the significant factors, spheroidized annealing temperature (A) and furnace cooling time (C), the optimum conditions are respectively A2 (spheroidized annealing temperature, 700 °C), C2 (furnace cooling time, 8 hr). For the other two factors, flow rate of nitrogen (B) and prolonged heating time (D), their effects of S/N ratios are relatively small, as shown in Figure 4b. The effect of quality characteristic of flow rate of nitrogen (B), as shown in Figure 4a, is relatively small, too, which can be a factor to reduce the cost, therefore, B1 (flow rate of nitrogen, 5 m³/hr) is chosen as the optimum condition. However, the effect of quality characteristic of prolonged heating time (D) is relatively important, which can be a adjustment factor, and D2 (prolonged heating time, 7.5 hr) is chosen as the optimum condition.

To confirm the robust design of results, wire W_B was fabricated followed the optimum levels: A2, B1, C2 and D2. Figure 5 shows the original (using level 2s in Table 2) and optimum probability distributions respectively for tensile strength and hardness of wire W_B. As comparing with the original results, the optimum mean of tensile strength is 378.7 MPa, which is smaller than the target tensile strength, while the deviation increases about 26.9%. The optimum mean hardness of 138.9 HV is not decreased but almost the same as the original mean hardness of 138.8 HV, as shown in Figure 5b, although the deviation decreases about 34.8% compared to the original result. The new parameter settings obviously do not improve the ductility of wire W_B. The quality of strength is neither improved because of the increase of deviation. Therefore, the formability of wire W_B is not improved through this optimum operation.

Through the optimization in spheroidized annealing of two AISI 1022 steel wires, W_A and W_B, both of the mean tensile strengths are close to the target tensile strength, and the quality is improved for wire W_A, but not for wire W_B. The mean hardness is decreased for wire W_A, and the quality is improved, so the formability is improved as well. However, for wire W_B, instead of decreasing, the mean hardness is greater than wire W_A, therefore, the formability of wire W_B is not improved. This result is due to the composition of titanium in wire W_B, as listed in Table 1, since adding 0.015wt% titanium could increase the hardenability of steel [15] and may cause excess inclusion to damage the surface quality and to reduce the formability [16].

4. Materials and Methods

In this study, the wires are spheroidizing annealed after drawing AISI 1022 steel wire coils W_A (Φ5.5mm) and W_B (Φ6.5mm) to a specific size (Φ3.5mm) with section-area reductions of about 60% for wire W_A and 70% for wire W_B, respectively. The steel wire coil W_A is manufactured (Φ5.5mm, Al-killed) by China Steel Corporation, Kaohsiung, Taiwan [13]; and wire coil W_B is manufactured (Φ6.5mm, hot rolled wire rod for cold heading) by Jiangsu Yonggang Group Co., Ltd., Jiangsu, China. Their chemical compositions are listed in Table 1. The steel wires are spheroidizing annealed, procedures as shown in Figure 1, with CCP-2820 pit type annealing furnace (Tainan Chin Chang Electrical Co., Ltd., Tainan, Taiwan). Taguchi method allows the changing of many factors at the same time in a systematic way. The orthogonal array table, L₉(3⁴), is used as an experimental design for the factors [14], as listed in Table 3.

5. Conclusion

The quality of spheroidize annealed steel wire affects the forming quality of screws. Four factors affect the quality of spheroidized annealing such as spheroidized annealing temperature, prolonged heating time, furnace cooling time and flow rate of nitrogen (protective atmosphere). The effects of spheroidized annealing parameters affect the quality characteristics of wires, such as tensile strength and hardness. In this study, Taguchi method is used to obtain optimum spheroidized annealing conditions to improve the mechanical properties of two AISI 1022 low carbon steel wires, W_A and W_B. Since a given strength of the annealing steel wire has to be provided for cold heading, the tensile strength is the main quality characteristic of spheroidized annealedsteel wire, with a target value of 383MPa. It is revealed experimentally that, for wire W_A, the spheroidized annealing temperature (A) and the prolonged heating time (D) are the significant factors; the determined levels are Level 3 for the spheroidized annealing temperature (705 °C, A3), Level 3 for the prolonged heating time (8 hr, D3), Level 2 for the furnace cooling time (8 hr, C2), and Level 1 for the flow rate of nitrogen (5 m³/hr, B1). The optimum mean tensile strength is 385.9 MPa, and the optimum mean hardness is 131.4 HV. The new spheroidizing parameter settings evidently improve the performance measures over their values at the original settings. The formability of steel wire W_A is effectively improved. For wire W_B, the spheroidized annealing temperature (A) and the furnace cooling time (C) are the significant factors; the determined levels are Level 2 for the spheroidized annealing temperature (700 °C, A2), Level 2 for the prolonged heating time (7.5 hr, D2), Level 2 for the furnace cooling time (8 hr, C2), and Level 1 for the flow rate of nitrogen (5 m³/hr, B1). The optimum mean tensile strength is 378.7 MPa, and the optimum mean hardness is 138.9 HV. However, the qualities of mechanical properties are not evidently improved through this optimum operation, neither the formability, which may be due to the composition of titanium. These results may be used as a reference for wire-manufacturers.

Acknowledgements

The authors would like to acknowledge the Ministry of Science and Technology of the Republic of China (Taiwan, R.O.C.) for their support of this research under grant MOST 105-2632-E-244-001, and the support of Homn Reen Enterprise CO., LTD., Taiwan for providing the materials and apparatus to carry out the spheroidized annealing experimental work.

References