1 Introduction

Closed-cell metal foams have ultra-low densities (0.2 to 0.8 g/cm3) and are good energy absorbers at low-transmitted stresses (Ref 1). Further, they have a combination of properties such as good fire resistance (in comparison with polymer foams), lower thermal conductivity, better mechanical damping as compared to the parent material. Aluminum-calcium foams are well known in closed-cell metal foams category (Ref 2).

Aluminum-based closed-cell foams can also be produced with aluminum alloy composites containing ceramic particles where the particles act as foam stabilizers (Ref 3, 4). Since the cell wall material influences the foam properties, high strength of the composite based on a heat treatable matrix alloy is beneficial. There may also be structural changes within the cell wall as observed for melt-processed aluminum foam where the grains in cell walls are smaller than for a pore-free material (Ref. 5). Increasing SiC content is beneficial in improving high temperature compressive properties in Al-alloy/SiC foams (Ref. 6). Further, these composite foams can be utilized in thin wall tubes to improve the crashworthiness (Ref. 7). While efforts were made to foam various aluminum alloy-ceramic particle composites by melt processing (Ref 8), including Al-Si/SiC composites (Ref 4, 9, 10), the reproducibility of the properties was hardly reported in the literature. For the same density, Kennedy observed that the scatter in properties is in the range of 2 to 5% of the mean values (Ref 11).

This matter is of concern with reference to the commercial manufacturing of aluminum foams. Therefore, the reproducibility of the cell structure and the properties has been evaluated as a function of foaming temperature, which is a crucial process parameter.

A melt-based batch process was used for making aluminum alloy-SiCP composite foams. In this work, a pre-made composite was re-melted and foamed using an external foaming agent. The reproducibility of these foams is presented in terms of cell size, density, elastic modulus, and compression properties.

2 Experimental Methods

2.1 Foaming Procedure

An A359 cast alloy (chemical composition in wt. %: Al-9.4Si-0.55 Mg-0.15Fe) composite containing 20 vol. % SiCP was used in this work. The measured median size of SiC particles is 6.3 µm. Microstructure of as-received cast composite (Fig. 1) showed angular morphology of SiCP with the matrix containing eutectic Si. The liquidus temperature of this composite as measured by differential scanning calorimetry is 586 ± 1 °C (Fig. 2). This is slightly lower than the liquidus temperature of 592 °C reported for the same composite (Ref 9). Titanium hydride (TiH2) powder was used as the foaming agent. In melt-processed foams, the particle size of TiH2 powder is important for better mixing and homogeneous distribution in the liquid melt. Fine particles tend to coagulate and don’t mix well in the melt, while too coarse particles dissociate slowly increasing the total foaming time which is likely to produce a wider cell size distribution in the foam. In the present case, TiH2 with a particle size (d50) of 11 µm is used.

Fig. 1
figure 1

SiC particle morphology and eutectic Si in the as-received cast A359 composite

Fig. 2
figure 2

DSC plot for A359-20% SiC composite

Foaming experiments were carried out with 0.75 wt. % of TiH2 at 1.35 kg melt size to make 100-mm diameter cylindrical foam ingots. A schematic diagram along with a flow chart is given in Fig. 3 to indicate the steps involved in foam synthesis by melt-processing. Cut pieces of aluminum composite ingot were melted in a clay graphite crucible at 700 °C. The oxides were skimmed and the melt was mechanically stirred slowly to keep the SiC particles in suspension. This was necessary to avoid undue enhancement in viscosity which could potentially obstruct uniform mixing of the foaming agent in the melt subsequently (Ref 12). After cooling the melt to the desired foaming temperature, the melt was again stirred to unsettle SiCP and TiH2 powder was mixed under continued stirring to initiate the foaming. Once the foam stopped rising, as observed visually, the crucible was taken out and was cooled under forced-air. Two foaming temperatures (640  and 660 °C) were chosen with differential superheats and, at each temperature, three identical trials were carried out. These six ingots were designated as DU-1A, DU-1B, DU-1C (prepared at 640 °C) and DU-2A, DU-2B, DU-2C (prepared at 660 °C).

Fig. 3
figure 3

Flow chart and schematic diagram showing the processing steps in A359-SiC composite foam making

2.2 Structural Characterization and Property Evaluation

At each experiment, the liquid foam height, and the solidified foam height were measured. These heights were normalized by the initial melt height to arrive at total expansion, and net expansion, respectively. Cylindrical foam ingots were sectioned longitudinally by wire electric discharge machining (EDM). Cell sizes were measured on optically scanned cross sections at 20-mm interval along the foam height which is also the foaming direction. At least 80 individual cell measurements were done on 20 mm × 100 mm area along superimposed random lines perpendicular to the foaming direction. Metallographic samples were polished with standard procedures followed for aluminum composites.

Samples for dynamic Young’s modulus measurements (75 × 30 × 10 mm) were extracted by wire EDM with sample thickness (10 mm) parallel to the foaming direction (Fig. 4). The sample length (75 mm) was kept symmetric across the ingot centerline. The ratio of sample length to the minimum dimension was kept above 5 as per ASTM E-1876. Room temperature Young’s modulus (E*) was determined by impulse excitation of vibration using resonant frequency damping analyzer (RFDA). During this test, the 75 × 30 mm rectangle was supported at nodal points and excited using an automatic impulse exciter. The excitation signal was captured using a microphone and, after subsequent analysis using Fast Fourier Transform in RFDA software, the flexural resonant frequency was extracted. From this frequency, E* was determined.

Fig. 4
figure 4

Schematic diagram illustrating the extraction of test samples from the longitudinally sectioned foam ingot along with actual foam samples

Compression test specimens of 20 × 20 × 25 mm were cut by wire EDM from the sectioned foam ingot on either side of the centerline (Fig. 4). The shape and dimensions of the sample were as per ISO 13314 – ‘Compression testing of cellular materials’ (Ref 13). Considering the cell sizes (≈ 1.4 mm) in our foams, sample dimensions were selected so that each dimension is at least 10 times the average cell size (Ref 13). The sample length (25 mm) was kept aligned with the foaming direction (Fig. 4). Compression test was carried out on a servo-hydraulic machine (Instron Model No. 5500R). The foam sample was compressed at a constant cross-head speed of 5 mm/min (an initial strain rate of 3.3 × 10–3 s−1) between steel loading platens along the length using graphite flakes as a lubricant. The recorded load–displacement data were converted to stress–strain (σ − e) curves.

In the σ–e plot (Fig. 5), stress corresponding to the first local maximum (first maximum compressive strength; Ref 13) is termed as ‘compressive strength’ (designated as σmax) in the present work. The plateau stress (σpl) was computed as the average of the stresses between 20 and 40% compressive strain intervals. The energy absorbed (W) and the energy absorption efficiency (We) were calculated up to 50% strain by equations:

$$W = \frac{1}{100}\mathop \smallint \limits_{0}^{50} \sigma {\text{d}}e$$
(1)
$$W_{e} = \frac{W}{{\sigma_{o} \times 50}} \times 10^{4}$$
(2)

where σo is the maximum stress between 0 and 50% strain.

Fig. 5
figure 5

Typical compression curve of an A359-SiCP foam sample illustrating extracted parameters (relative density = 0.154)

Foam density (ρ*) was obtained from the measured weights and physical dimensions of individual test samples, from which the relative density (ρ*s) was calculated. The density of the cell wall material (ρs) was computed as 2.79 g/cm3 from the rule of mixtures for A359-20% SiC composite.

3 Results and Discussion

3.1 Temperature Effect on Foam Stability, and Cell Size

The total and net expansion data for foams prepared at 640 and 660 °C is given in Fig. 6. For each experiment, foam collapse is the difference between total and net expansions. Foamability (the ability of the melt to reach large expansions) is quantified by the total expansion. Foam stability (the ability of the foam to remain structurally intact until complete solidification), on the other hand, is assessed by the net expansion. At a given foaming temperature, the total expansions are identical for the three experiments indicating consistent foamability. From the moment TiH2 addition is initiated, it dissociates, releasing hydrogen and forming gas bubbles, leading to melt expansion. This expansion involves gas diffusion to bubbles, their growth and likely coalescence due to rapid impingement among the rising bubbles (Ref 14, 15). The SiC particles present in the melt not only decrease the surface tension (Ref 8), aiding bubble formation, but also increase the melt viscosity, which slows the film drainage and downward liquid flow in the liquid foam (Ref 16).

Fig. 6
figure 6

Total and net expansion data for foam ingots prepared at 640 °C (DU-1A, DU-1B, DU-1C), and at 660 °C (DU-2A, DU-2B, DU-2C)

Also, despite 20 °C variation, the foamability changed little between two foaming temperatures, mainly due to constant TiH2 addition. Higher temperatures, however, increase the TiH2 dissociation rate (Ref 17).

During cooling, the foam either retained the total expansion (Fig. 6) showing good stability (negligible collapse at 640 °C) or exhibited varying collapse indicating instability (as observed at 660 °C). The macrostructures of foam ingots (Fig. 7) show the absence of cracks extending to several cells. The magnified pictures presented in Fig. 8 further confirm individual cells without cell wall ruptures. The collapse at 660 °C manifested as distorted regions with elongated cells (Fig. 9) within the ingot. The absence of very large cells with significant liquid drainage points out that the liquid foam might have collapsed under its own weight. In comparison with 640 °C-foams, the decay at 660 °C is certainly associated with longer cooling times from the foaming temperature to the liquidus temperature. Further, the liquid foam may also be structurally weak with reduction in strength of the liquid film network (≈ 15% of the foam volume considering the relative density is around 0.15) at a higher temperature. One can argue that the ‘resistance to collapse’ would be dependent on the temperature of the melt and a temperature difference of 20 °C (in the present case 640 °C versus 660 °C) may be significant.

Fig. 7
figure 7

Longitudinal mid-sections of foam ingots prepared at 640 , and 660 °C. Areas within the broken lines are magnified in Fig. 8. For ingots prepared at 660 °C, an estimated undistorted region is marked with a solid line

Fig. 8
figure 8

Magnified images of foams (marked with broken lines in Fig. 7)

Fig. 9
figure 9

Distorted region showing deformed/ elongated cells in foams prepared at 660 °C

Microstructures showed that the SiC particles are randomly distributed within the cell walls (including at the cell surfaces) and Plateau areas at both the foaming temperatures (Fig. 10). Unlike other studies on this system (Ref 18), particles’ preference to solid/gas interface is not observed. The presence of the SiC particles at the cell surface can be explained based on the fact that the particles are partially wetted by the melt, which can result in stable bubble-particle configurations (Ref 16) and increased surface viscosity (Ref 19). Removal of oxides during composite remelting also has a destabilizing effect, specifically at 660 °C, as was shown for A359-SiC composite foaming (Ref 8). Presence of eutectic Si is evident (Fig. 10b) similar to the as-received composite structure (Fig. 1).

Fig. 10
figure 10

Cell wall structures in A359-20% SiC composites foamed at 640 °C (a), and 660 °C (b)

The cell size measurements were carried out for all ingots along the height. For 660 °C- foams, a region of undistorted cells was estimated by visual observation (bordered with a solid line; Fig. 7). Figure 11 and 12 show the cell size data in the form of individual values of mean and its variations of standard deviation (SD) at each location for foams of 640 °C and 660 °C, respectively. For convenience, the foam height is represented as a fraction height along the X-axis (H0 is the foam height; Fig. 4). For each foam ingot, average cell size for the whole ingot (henceforth termed as global average) is given.

Fig. 11
figure 11

Individual cell size (mean ± standard deviation) measurements along the height for three foams prepared at 640 °C. The global average (average cell size obtained for the whole ingot) along with the standard deviation is given for each foam ingot. The horizontal line in each plot indicates the global average

Fig. 12
figure 12

Cell size (mean ± standard deviation) variation along the height for foams prepared at 660  ºC. Cell sizes were measured only in the undistorted regions (see Fig. 7). The horizontal line in each plot indicates the global average

At 640 °C, it is evident that for the three ingots, the global averages are within the individual cell size variations meaning uniform cell size along the foam height. For DU-1A, the SD is around 35% of the global average cell size (relative standard deviation, RSD). It is also clear that the global average cell sizes (≈ 1.4 mm) and their RSDs are identical (≈ 35%) showing reproducibility in cell structures along the entire foam ingot. For 660 °C, the cell size didn’t vary significantly both within the ingots and in between three ingots as shown by the average cell size and SD data (Fig. 12).

3.2 Density and Mechanical Properties

In view of the collapse and associated distortion of foams prepared at 660 °C, detailed study was not possible. This section mainly describes the properties of 640 °C- foams and present their variation and extent of property scatter among three experiments. For this, detailed density measurements were done for one foam ingot (DU-1A) with test samples extracted at various foam heights (Fig. 4). For the other two ingots (DU-1B & DU-1C), the samples were extracted at selected heights.

The data (Fig. 13a) shows that the relative density (RD) decreased up to 90 mm from the ingot bottom, beyond which it changed little. The maximum RD is 0.26 (ρ* = 0.73 g/cm3) at the ingot bottom which decreased to around 0.16 RD (ρ* = 0.45 g/cm3). The density gradient within the bottom portion of the foam may largely be attributed to gravity-induced liquid drainage through the network of struts (Plateau borders) toward the foam bottom as was observed in melt-processed aluminum foams (Ref 20). Liquid drainage resulted in thicker cell walls in the bottom portion of the foam ingot as shown in Fig. 13(b) and (c) which compares the average cell wall thickness of 1.83 mm (at 20 mm height) with 0.93 mm (at 140 mm height). For equivalent cell size (Fig. 11), thicker cell walls mean higher density. Overall, the presence of 20 vol. % particles coupled with forced-air cooling of liquid foams helped in limiting the drainage as shown by the thin layers of un-foamed metal at the bottom of the foam ingots (Fig. 7).

Fig. 13
figure 13

Relative density (RD) data and structures of 640  ºC-foams: (a) RD as varied with DU-1A foam height. The local average RD, determined after excluding the circled data points, is shown by a broken line. Foam structures at 20 mm (b), and 140 mm (c) heights exhibiting varying cell wall thicknesses. (d) RD data from compression (open symbols), and modulus (filled symbols) samples extracted from DU-1B & DU-1C ingots at selected heights. The data beyond 90 mm is compared to the local mean ± standard deviation (shown as broken line and dotted lines, respectively) obtained for DU-1A

As given in Table 1, the global average RD is 0.179 ± 0.031 with an RSD of 17%. The marginally changed density above 90 mm height (0.3 fraction height) is clear from the local average RD i.e., 0.160 ± 0.008, with an RSD of 5%, obtained after ignoring the data below 90 mm (circled points in Fig. 13a). Density data for samples extracted from other ingots (DU-1B and DU-1C) beyond 0.3 fraction height are within this deviation (Fig. 13d). Also, increased density is observed below 0.3 fractional heights in line with trends in Fig. 13a.

Table 1 Experimental properties obtained for an ingot prepared at 640 ºC

In line with density data (Fig. 13a), E* decreased up to 90 mm height beyond which it didn’t vary appreciably with increasing height (Fig. 14). With reference to its global average (Table 1), the RSD is 22% which is slightly higher than that for density (17%). The local average modulus obtained after ignoring the data below 90 mm height (circled points in Fig. 14) is 5.26 ± 0.33 GPa i.e., RSD of 6%. This scatter is in line with the density scatter (5%) within the same height (Fig. 13a). Modulus data obtained from samples of other foam ingots (DU-1B & DU-1C) are almost matching (inset graph in Fig. 14) with the data obtained for DU-1A.

Fig. 14
figure 14

Dynamic Young’s modulus data (E*) data for 640  ºC-foams. The variation of E* with foam height is presented for DU-1A ingot. Local average E*, determined after excluding the circled data points, is shown by a broken line. In the inset graph, the moduli for samples extracted from DU-1B & DU-1C at selected locations are compared to the local mean ± standard deviation (shown as broken and dotted lines)

The local average modulus was predicted using the local average RD (0.160 ± 0.008; Fig. 13a; column 2 in Table 1) by Ashby − Gibson (A-G) equations (Ref 21) for metal foams

$$\frac{{E^{*} }}{{E_{s} }} = \left( {\varphi \frac{{\rho^{*} }}{{\rho_{s} }}} \right)^{2 } + \left( {1 - \varphi } \right)\frac{{\rho^{*} }}{{\rho_{s} }}$$
(3)

The value of Es, the dynamic Young’s modulus of the cell wall material, is measured as 104.7 GPa for A359-20% SiC composite. The term φ is the fraction of material at cell struts (nodes). With a value of 0.8 for 0.13 RD Al-SiC foam (Ref 22), φ was assumed as 0.75 considering the RD of 0.160 in the present case. The A-G model value of E* is 5.70 ± 0.21 GPa which is in good agreement with the experimental value of 5.26 ± 0.33 GPa (column 4 in Table 1).

Data (Fig. 15) shows that the compression properties (σmax, σpl, and W) exhibited similar trends as the modulus and changed marginally beyond 90 mm foam height. This trend is in expected line with the density variation (Fig. 13a). Global average values of σmax, σpl, and W, are given in Table 1 with RSD being 31%, 35%, and 36%, respectively. This is almost double the global density variation of 17%. The local average properties obtained after ignoring the data below 90 mm height (Fig. 15) are 12.1 ± 1.2 MPa (σmax), 9.51 ± 0.92 MPa (σpl), and 4.55 ± 0.43 MJ/m3 (W). The RSD values are 9.9%, 9.7%, and 9.5%, respectively, which are again double the density variation (i.e., 5%) shown for local average RD.

Fig. 15
figure 15

Compression properties for 640 ºC-foams. For each property, local average (shown by a broken line) was calculated after excluding the circled data points. In the inset graphs, property data obtained for samples extracted from DU-1B & DU-1C ingots at selected locations is compared to the local mean ± standard deviation (shown as broken line and dotted lines, respectively) obtained for DU-1A. (a) Compression strength, σmax; (b) Plateau stress, σpl; (c) Energy absorbed, W; and (d) Energy absorption efficiency, We

It is seen that the scatter in properties is higher in the upper regions of the foam. This could be due to the fact that these regions experience the maximum depletion of melt due to drainage which thins the cell walls producing very dry foams. Such cell structures are vulnerable to coarsening and, hence, development of locally large cells which reduce the plastic strength, since it refers to the initiation of plastic deformation in the weakest region of the foam.

The changes in We are not as drastic as the other compressive properties. This property too decreased up to 90 mm, and remained constant (75.4 ± 2.6) beyond 90 mm height, with the global average of 77.6 ± 4.6 (Fig. 15d). The RSD is around 6% for the global average and 3.4% for the local average.

Compression properties obtained from selected samples of other foam ingots (DU-1B & DU-1C) are within the average values obtained for DU-1A (inset graphs in Fig. 15).

The collapse strength equivalent to plateau stress is predicted using the average density below 90 mm height (0.160 ± 0.008; Fig. 13a) in the A-G equation (Ref 21).

$$\frac{{\sigma^{*}_{pl} }}{{\sigma_{s} }} = 0.3\left( {\varphi \frac{{\rho^{*} }}{{\rho_{s} }}} \right)^{3/2} + \left( {1 - \varphi } \right)\frac{{\rho^{*} }}{{\rho_{s} }}$$
(4)

In the above equation, the yield strength of cell wall material, \(\sigma_{s}\), is taken as 205 MPa which is measured for A359-20% SiC composite. With φ assumed as 0.75, the A-G model value of \(\sigma^{*}_{{{\text{pl}}}}\) (10.8 ± 0.4 MPa) is close to the experimental \(\sigma_{{{\text{pl}}}}\) of 9.51 ± 0.92 MPa (column 8 in Table 1).

Excellent foam quality and near absence of defects gave rise to a good correlation of experimental values with A-G model predictions for both plateau stress and elastic modulus.

As stated earlier, a part of the foam prepared at 660 °C was distorted due to collapse and was not used for further analysis. However, there was sufficient volume of foam which was not distorted and which possessed sound cellular structure. This was used to extract a few samples for compression tests and elastic modulus measurements from selected heights within the foam. The summary of density and property data are given in Table 2. It is clear that for the given density levels in 660 °C-foams, the modulus and compression properties are comparable to the data obtained for 640 °C-foams. Further, the nature of compressive deformation is similar as seen from the curves obtained at 640 and 660 °C (Fig. 16).

Table 2 Summary of density and mechanical properties of 660 °C-foams
Fig. 16
figure 16

Compression stress–strain curves at 0.154 RD for foams obtained at two temperatures

4 Summary

  1. 1.

    Foams prepared at 640 °C showed reproducible expansion, cell size at given height and cell size variation with foam height.

  2. 2.

    In 640 °C-foams, the scatter in compression properties, evaluated in terms of relative standard deviation, is double the scatter obtained in density. The scatter in the elastic modulus is equivalent to that of density.

  3. 3.

    The A359-20% foams properties are close to the Ashby -Gibson model predictions.

  4. 4.

    Foams made at 660 °C exhibited liquid foam collapse before complete solidification. In regions without signs of foam collapse, the properties are on par with foams prepared at 640 °C.