Energy-absorbing structures and materials protect people, vehicles, and buildings from shock and collisions. An impact energy absorber is a material or structure with high plateau stress and a sizeable area under the stress-strain curve. Stress-strain diagrams for these materials are typically long and smooth (Fig. 6). In the "ideal energy absorption zone," which is depicted in Fig. 6, they absorb a large amount of energy during the plateau stress zone.
In this investigation, thirteen specimens were tested; four samples for quasi-static compression, and nine samples to low velocity impact loads. Table 1 lists the details of these specimens.
Under a quasi-static compression load of 1 mm/min, stress-strain curves for specimens SS2, SS3, SS12, and SS13 are shown in Fig. 6.
Table 1
Specification of specimens utilized in this study
specimen
|
SS2
|
SS3
|
SS12
|
SS13
|
TS1
|
TS2
|
TS5
|
TS8
|
TS11
|
TS12
|
TS13
|
TS17
|
TS18
|
Density (kg/m3)
|
1608
|
1600
|
1653
|
17.31
|
1762
|
1718
|
1691
|
1707
|
1716
|
1700
|
1665
|
1642
|
1679
|
Mass (gr)
|
16.8
|
16.4
|
18.3
|
18.8
|
15.5
|
15.5
|
14.7
|
15.1
|
14.5
|
14.7
|
21.1
|
22.1
|
20.8
|
Area (mm2)
|
450.50
|
473.93
|
450.29
|
445.84
|
416.78
|
420.25
|
422.51
|
427.25
|
418.61
|
428.50
|
433.06
|
567.87
|
612.81
|
Height (mm)
|
21.6
|
21.62
|
24.57
|
24.28
|
21.1
|
21.47
|
20.56
|
20.69
|
20.37
|
20.17
|
20.6
|
23.7
|
20.21
|
It can be seen in Fig. 6 that these materials have a high energy absorption capacity due to their large area under the stress-strain curve. This aluminum foam's yield stress is higher than other commercial aluminum foams, as shown by the stress-strain diagrams.
Figure 6 clearly shows that the diagram is divided into three main sections. During quasi-static loads, the first section of the stress-strain curve is linear elastic, which occurs in the case of small strains, usually less than 5% strain. Consequently, the behavior in this section has a slope equal to the Young module of foam. This foam begins to compress at a specific time but not under constant stress. One can see a work hardening zone that reaches about 50% of the strain range. Elastic buckle, plastic deformation, or brittle crushing of the cell walls causes foam cells to collapse as they are put under more stress. A significant increase in stress from densification causes the cell walls to meet and touch. There is a sharp increase in stress in the densification section, which can be seen in the third section of Fig. 6.
Table 2 compares the foam studied in this study to other foams studied in Refs [11, 14, 16–19]. The Stainless Steel PM Foam studied in Ref [11] has a high strength-to-density ratio of 46.9 with a density of 2.9 g/cm3. The foam investigated in this study has a density of 1.6 g/cm3, which is up to 45 percent lower than the density of Stainless-Steel PM Foam.
Under quasi-static compressional loading, the mechanical properties of specimen SS13 are shown in Fig. 7. There is a calculated Young module for the specimen, which is 840 MPa in the elastic region of the diagram. The Yield stress in this area is around 38 MPa, which is more than most of the other metal foam researched in the literature.
Table 2
strength to the ratio of foams studied in the present study and Refs [11, 14, 16-19]
The average plateau stress is calculated by calculating the area under the stress-strain curve from strain 0.1 to strain 0.5 (this section depicts an ideal energy absorber). Therefore, the equivalent classic behavior of the foam has a plateau stress of \(84.10 \text{M}\text{p}\text{a}\) with a density of 1.6, which is higher than the more significant part of other metal foam studied in the literature.
Three different heights are used to test dynamic impact loads on the nine specimens that were previously mentioned.
Impact drop tests were performed on the test specimens TS1, TS8, and TS13 at an impact drop height of 1.5 m, TS2, TS11, and TS17 at an impact drop height of 2.25 m, TS5, TS12, and TS18 at an impact drop height of 3 m. Figure 8 through Fig. 10 show the impact results, including acceleration, velocity, absorb energy, and stress-strain responses.
Figures 8, 9, and 10 show that impact acceleration and absorb energy are proportional to impactor height; as the height increases, so does the acceleration.
As is illustrated in Fig. 8-(c), Fig. 9-(c), and Fig. 10-(c) the initial energy had the value of 500 Jules for TS1, TS8, and TS13. In contrast, this value for samples TS2, TS11, and TS17 was about 750 Jules, and it had the value of 1050 Jules for specimens TS5, TS12, and TS18. As shown in the figures, increasing the height of the impactor increases both the initial energy and the impact velocity; this increases the slope of the diagram, a shorter time for graphs to reach zero, and a faster rate of compression. For instance, the energy and velocity of a hammer falling from 1.5 m reach zero in approximately 0.003 to 0.0035 seconds, for 2.25 m dropping this time is about 0.003, and for 3 m falling this time is about 0.0025 to 0.003 seconds.
The dynamic stress-strain responses are also interesting since it represents classic foam behavior, as it is depicted in Fig. 8-(d), Fig. 9-(d), and Fig. 10-(d). The most similarity between the dynamic stress-strain responses and the classic foam behavior is observed in Fig. 8-(d), where the yield stress is 200–250 MPa, and the plateau stress is about 150–180 MPa continues in the strains of range 0.1 to 0.4. The results of dynamic stress-strain diagrams are the best way to demonstrate how unique the foam is. These diagrams show how this type of foam behaves similarly to a classic foam. It is clear that this foam is also sensitive to strain rate and that as strain rate increases, so does the amount of energy it can absorb. Also, remember that foam has a higher rate sensitivity than aluminum.
Figure 11 compares the stress-strain diagrams for the quasi-static compression test of four specimens (SS2-SS3-SS12-SS13) and the dynamic drop impact test of samples (TS5-TS12-TS18) from a height of 3 meters. Initially, it is evident that the behavior of the foam in a quasi-static compression test is elastic; however, as the load increases, the foam enters the plastic region and hardens. Eventually, the specimen buckles and collapses, resulting in a sharp rise in stress. In contrast, in dynamic drop impact tests, the impact load is so high that the foam stress-strain diagram is elastic for only minor strain ranges (0-0.05). After that, it begins a plastic region with hardening behavior until a peak with a value of about 250–300 MPa; it has a small drop due to the mass's minor separation. At that point, the plateau stress begins with hardening behavior until the specimen collapses.
Figure 12 compares stress-strain curves of refs [7, 14, 20–22] and two specimens, TS18 and TS12. The diagrams in this study have the highest stress values and the most significant area under the stress-strain curve, resulting in the highest energy absorption value. Aluminum foam dynamic and static behavior, as well as aluminum-steel foam values, are compared here. According to this diagram, the investigated foam has the highest or one of the highest energy absorption values among metal foams.