Result and Discussion Effect of Solution Treatment on Fatigue Crack Propagation Behaviour of Magnesium Alloy.

The specimen used for fatigue crack propagation rate test was centre cracked-plate tension CCT specimen. Figure 3 shows the geometry of the specimen according to ASTM E647-08 standard [20]. The dimension of the specimen was determined by following equation according to the test standard: ys W a BW P N      2 1 max Here, σ N is the nominal stress, σ ys is the yield stress, P max is the maximum load, B is the specimen thickness, W is the width of gauge position and a is the crack length. A screw type fixture was used in the CCT specimen. To avoid the excessive lateral deflection or buckling of the CCT specimen during the test, the gauge length and thickness of gage position was limited to 12 mm and 2 mm, respectively. The gage position was then polished with 500 to 1500 grit emery papers to obtain a smooth surface. The fatigue crack propagation rate test was conducted by using a pneumatic fatigue testing machine 14 kN maximum capacity and to investigate the effect of heat treatment on fatigue crack propagation behaviour. The tests were performed at frequency of 10 Hz by using sinusoidal loading form. A stress ratio R = 0.1 was applied in the tests. The loading direction was in the extrusion direction of the material and the testing was carried out at room temperature. The crack propagation curve crack propagation rate dadN versus stress intensity factor range ΔK was obtained by using K-decreasing and K-increasing test procedures. The decreasing and increasing load steps are 5 - 7 of the previous loading value. The stress intensity factor value for the CCT specimen was calculated using the following equation: Fig. 3. Centre cracked-plate tension CCT specimen used in the FCP tests      F a K   2 Here, Fα is a boundary correction factor which depends on the ratio of the crack length a to the width of the specimen W. For the CCT test specimen used in this study, the boundary correction factor is given as [19],     2 4 2 sec 06 . 025 . 1        F 3 where W a 2   4 The crack length was measured using travelling microscope. The threshold stress intensity factor ΔK th was determined when a crack growth is not observed for 10 6 cycles. A hole with a 1 mm diameter was drilled in the centre of the specimen before introducing a 1.35 mm notch by EDM electrical-discharge machining to facilitate fatigue pre-cracking. The procedure for introducing a pre-crack was followed the ASTM standard [20]. The specimen was aligned so that the load distribution is symmetrical. The load ratio R during pre-cracking is the same as the load ratio used in the fatigue crack propagation test. The pre-cracking was interrupted after a pre-crack length equal to 0.1 of specimen thickness was attained at maintained pre-cracking propagation rates of about 10 -8 mcycle.

III. Result and Discussion

The comparison of fatigue strength of solution treated and extruded AZ61 magnesium alloy is shown in Figure 4. The figure shows that fatigue strength of the solution treated samples increase as that compared to the fatigue strength of the as-extruded AZ61 samples. The fatigue limit for solution treated and as- extruded AZ61 were 180 MPa and 150 MPa, respectively. The higher fatigue strength observed for 10 3 10 4 10 5 10 6 10 7 10 8 100 150 200 250 300 Number of cycles to failure, N f cycles M ax im um s tr es s M Pa Solution treated As-extruded Fig. 4. Fatigue strengths of solution treated and as-extruded samples a a 1 TABLE 2 MECHANICAL PROPERTIES OF AZ61 MAGNESIUM ALLOY Material type Yield Stress, σ y MPa Ultimate Tensile Strength, σ uts MPa Vickers Hardness Hv As- extruded 244 265 270 309 329 308 67 Ave. of 10 points Ave. 268 315 Solution treated 308 292 288 381 324 322 71 Ave. of 10 points Ave. 296 342 the solution treated sample is believed due to higher tensile strength and also higher hardness properties compared to that of the as-extruded sample as shown in Table 2 . After the solution treatment the increment in hardness from Hv 67 to Hv 71 is believed due to the solid solution strengthening. In the heat treatment process, the solution treated samples were heated into the  solid solution zone where atoms of alloying elements dissolved into the matrix. In this condition, the samples were quenched in water, which limit the time for precipitation to takes place. Optical micrographs revealed that there is no precipitation of second phase observed in the solution treated sample. Further, the aging processes performed Fatigue crack propagation Fatigue crack initiation A s- re ce iv ed L ow h ar dn es s m at ri x S ol ut io n tr ea te d H ig h ha rd ne ss m at ri x Cyclic load Matrix Inclusion Cyclic load Inclusion Matrix Crack Crack Crack Crack Matrix Matrix Su rf ac e Su rf ac e P.S.B High stress Concentration site Δa i Δa i+1 Δa i Δa i+1 Δa i+1 Δa i+1 Δa i Δa i Fig. 5. Mechanisms of crack initiation and propagation for as-extruded and solution treated AZ61 magnesium alloy at different aging times and temperatures were unable to achieve higher hardness compared to that of solution treated sample due to limitation of second phase precipitation. This result was in aligned with the results obtained by Uematsu et al. who reported that precipitation of Mg 17 Al 12 in AZ61 magnesium alloy is very limited due to low percentage of Al content as compared to other magnesium alloy with higher Al content such as AZ80 [22]. The increased in hardness of solution treated sample resulted in difficulty for the extrusion and intrusion of persistence slip bands to occur and consequently the fatigue crack tends to initiate at higher stress concentration sites such as inclusions or foreign particles at sub-surface. For the as-extruded samples, the extrusion and intrusion play a prominent role in initiating fatigue crack. Therefore, the increased in hardness and yield strength in solution treated samples delay the fatigue crack initiation and result in a higher fatigue life. The initiation and propagation mechanisms of fatigue crack in both samples are illustrated in Fig. 5. Detailed fracture surface observations showed that foreign particle was found at the fatigue fracture origin of the solution treated samples especially for the samples which exhibited higher fatigue life more than 10 5 cycles as shown in Fig. 6a. The foreign particle size observed was about 20 to 30µm. Pile-up of slips deformation at near the foreign particle during fatigue cycles contributed to high stress concentration at around the foreign particle and resulted in fatigue crack initiation. In contrast, SEM observation results on fracture surface of as-extruded samples showed that there was no evidence of foreign particle at the fatigue fracture origin. The fatigue crack initiation site was relatively flat as shown in Fig. 6b. The FCP curve of solution treated AZ61 magnesium alloy as a function of stress intensity factor range ΔK at room temperature is shown in Fig. 7. The FCP curve for as-extruded AZ61 magnesium alloy is also plotted in the same figure for comparison [8]. From the figure, it can be noted that there is not much difference in the FCP resistance for both curves at a low ΔK region. However the difference of fatigue crack propagation resistance can be seen at a higher ΔK region above 2.0 MPa√m. Fatigue crack propagation resistance for solution treated samples is found lower as compared to the as-extruded samples. It can be considered that the crack in as-extruded AZ61 has more frequent chances of encounter with grain boundaries due to the smaller grain size, resulting in a slower propagation rate. This argument is similar to the FCP behaviour of AZ31B-L as mentioned by Uematsu et al. [22]. The arrows in the figure indicate that the threshold value of stress intensity factor range at ΔK th . From the figure, the threshold value for solution treated AZ61 magnesium alloy is at 0.91 MPa√m. This value is almost at par to that of the extruded magnesium alloy where the threshold value is at 0.92 MPa√m. From the result, it can be concluded that heat treatment does not affect the threshold value of AZ61 magnesium alloy. However, a slight difference in the fatigue crack propagation resistance is been demonstrated at higher ΔK region. Similar FCP behaviour of the AZ91D magnesium alloy was also reported by Kobayashi et al. [17]. The dadN-ΔK curves obtained at the Paris regime can be expressed as:   m K C dN da   where C is a constant and m is the slope of the curve on the log-log plot. Values of constants C and m were calculated using the least square method and the results are shown in Table 3. Fig. 6. Observations were done using SEM equipped EDX. a Foreign particle b Flat surface 0.1 0.5 1 5 10 10 -12 10 -11 10 -10 10 -9 10 -8 10 -7 10 -6 Stress intensity factor range, Δ K MPa.m 12 Fa ti gu e cr ac k pr op ag at io n ra te , d a dN m c yc le Solution treated As-extruded Sajuri et al. [21] Fig. 7. Fatigue crack propagation behavior of solution treated and as- extruded AZ61 magnesium alloy a b 5 TABLE 3 CRACK PROPAGATION PARAMETER AT THE PARIS REGIME FOR AZ61 MAGNESIUM ALLOY a Overview b Micrograph of fracture surface at ‘a’ in a at low ΔK region c Micrograph of fracture surface at ‘b’ in a at high ΔK region Fig. 8. Fracture surface observations of FCP test for solution treated specimen.

IV. Observation of Fracture Surface