Quasi-static:
Engineering stress vs. engineering strain graphs for the as-built specimens are shown in blue lines in Fig. 3. The I-WP specimen (a) shows a densification process that begins almost immediately after the initial yielding point with a small value of strain before densification starts. Densification occurs when every unit cell collapses and contacts the surrounding cells. Alternatively, the Primitive (b) and Gyroid (a) specimens seem to deform more before densifying leading to greater densification strain values. The densification phase of lattice structures is usually caused by the struts contacting together after the buckling, yielding, or fracturing of the material [75]. The early densification phase for the I-WP specimens is attributed to the structure’s higher relative density, 38.73%. The Primitive and Gyroid specimens have lower relative densities, 26.26%, and 21.34% respectively, allowing more plastic deformation before layer/strut contact initiates densification. The Primitive and the Gyroid specimens demonstrate a similar densification phase likely due to their similar relative density values. Despite the Gyroid specimens having a slightly lower density in comparison to the Primitive topology, the Gyroids outperform the Primitive specimens in several parameters, including yield strength, 55.1 MPa compared to 50.6 MPa, and toughness, 45 MJ/m3 compared to 30.9 MJ/m3, respectively. This superior performance of Gyroid lattice structures has also been noticed by other authors [76]. The quasi-static tests demonstrated that the I-WP topology had the highest yield strength of 98.4 MPa. However, the I-WP specimens had a significantly lower ductility value at 5.9%, compared to the Primitive specimens with a ductility value of 51.6%, or the Gyroid specimens with a ductility of 58.3%.
Engineering stress vs. engineering strain graphs for the aged specimens are shown in red lines in Fig. 3. The aging heat treatment increases the elastic modulus of I-WP specimens to 4290.9 MPa, which is an increase of 100.4% and greater than the other topologies in this study. The Gyroid specimens only experience a 32.5% increase, up to 3196.5 MPa, to the elastic modulus after aging. Primitive specimens experience the smallest elastic modulus increase of 26.8%, up to 2468.5 MPa, after aging. All the specimens subjected to quasi-static compressive tests showed an increase in yield strength after aging heat treatment. The I-WP specimens have the highest increase of 65.2% from 98.4 MPa to 162.6 MPa. The Primitive specimens had the next highest increase of 63.8% from 50.6 MPa to 82.9 MPa. The Gyroid had the lowest increase of 54.8% from 55.1 MPa to 85.3 MPa.
Figure 4 shows the ductility, toughness, and elastic modulus values for the as-built and heat-treated specimens. The numerical values of material properties for the various topologies are shown in Table 5. The elastic modulus was calculated based on the slope of the stress-strain curve before the first yielding point. Toughness was calculated using Eq. 5 below where \({\epsilon }_{f}\) is the strain upon failure and \(\sigma\) is stress:
$$T={\int }_{0}^{{\epsilon }_{f}}\sigma d\epsilon$$
5
Dynamic:
Dynamic engineering stress vs. engineering strain graphs for the as-built and heat-treated specimens are shown in Fig. 5. Uniaxial compression tests under dynamic loading conditions were performed at strain rates of 600 s− 1 (black), 800 s− 1 (red), and 1000 s− 1 (blue), shown in Fig. 5 with squares, triangles, and diamond markers, respectively. Similar to the quasi-static tests, the I-WP specimens had much larger yield strength, than the Primitive or Gyroid specimens. The as-built I-WP specimens have higher yield strengths under quasi-static loading, 98.4 MPa, compared to dynamic strain rates at 600 s− 1 and 1000 s− 1,77.1–85.3 MPa, respectively, shown in Table 5 and Fig. 6. This is interesting since Inconel 718 has a higher yield strength at higher strain rates in fully dense specimens[77]. The as-built Primitive and Gyroid specimens behave differently and have higher yield strengths at the highest dynamic strain rate, 1000 s− 1. However, at the lowest dynamic strain rate, 600 s− 1, the Primitive and Gyroid specimens have lower yield strengths, 46.5 and 50.9 MPa, respectively, than under quasi-static loading conditions, 50.6 and 55.1 MPa, respectively, as shown in Table 5 and Fig. 6.
The yield strength of the heat-treated specimens exhibited higher values compared to the as-built specimens (Fig. 6, Table 5, and Fig. 5b, d, and f). Following aging heat treatments, all specimens experienced at least a 35% increase in yield strength under dynamic loading conditions. The largest increase in yield strength was in the I-WP specimens tested at a strain rate of 600 s− 1 where the yield strength nearly doubled from 77.1 MPa to 154.1 MPa. The strain rate sensitivity of the heat-treated lattice structures can be seen in Fig. 5b, d, and f. The heat-treated I-WP specimens behave like the as-built structures and have lower yield strengths at higher strain rates. The heat-treated Primitive and Gyroid specimens have similar yield strengths to those tested under quasi-static strain rates; they both showed lower yield strengths at the dynamic strain rate, 600 s− 1, with values similar to the as-built specimens. The highest yield strengths at the highest dynamic strain rate, 1000 s− 1 for the Primitive and Gyroid specimens. Typically, materials yield strength increases as the strain rate increases, which is observed in all the as-built topologies. However, the yield strength of the aged I-WP specimens lowered as the strain rate increased.
Table 5
Material properties of the Lattice Structures
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)
The effect of heat treatment on specific energy absorption
The specific energy absorption (SEA) of the lattice structures under the quasi-static loading was calculated before and after the heat treatment process. The SEA value is a good indicator of the potential of the lattice structure for energy absorption and expresses the energy-absorbing capability per unit mass. It has been widely used as an accurate means of evaluating the structure’s energy absorption capacity, particularly, for lattice structures [13], [21]. The SEA can be calculated using the equation below [78]:
$$SEA= \frac{EA}{m}= \frac{{\int }_{0}^{\delta }Fd\delta }{m}$$
6
In this equation, F represents the compressive force, m signifies the mass, and EA corresponds to the total energy absorbed by the cellular structure, calculated as the area beneath the load-displacement curve up to the point of densification.
Figure 7 summarizes the results of the SEA calculation. The results illustrate that before the heat treatment process is conducted, under quasi-static loading, the Gyroid structure shows the highest performance in specific energy absorption, 19.1 mJ/g, significantly higher than the other two structures, namely, the I-WP with an SEA value of 10.5 mJ/g, and Primitive structures with an SEA value of 10.7 mJ/g (Fig. 7). Interestingly, after the heat treatment process is performed, under the quasi-static loading conditions, the I-WP structure shows an SEA value of 19.6 mJ/g, almost equal to that of the Gyroid specimens, 19.8 mJ/g, in terms of specific energy absorption. As can be seen here, structures exposed to the heat treatment process demonstrates higher SEA values. This can be attributed to the heat treatment effects on material properties, and the formation of strengthening precipitates that affect the process of dissipating the energy from external loading by plastic deformation or fracture, through enhancing the strength of the materials [38]. As a result, there is a significant elevation in the plateau stress level, resulting in a larger area beneath the stress-strain curve in the heat-treated specimens compared to their untreated counterparts. Specifically, the I-WP structure stands out by achieving the highest SEA value increase from 10.5 mJ/g before heat treatment to 19.6 mJ/g after the heat treatment. Furthermore, the SEA values for the Gyroid and Primitive structures are reported as 19.1 J/g and 10.7 J/g, respectively, before the heat treatment to 19.8 J/g and 15.4 J/g, respectively, after the heat treatment, as illustrated in Fig. 7. The increase in the SEA value due to the postprocessing in all three types of specimens emphasizes that the heat treatment process is a means for manipulating the SEA value through microstructure modification and consequently, mechanical property optimization.