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Compressive Deformation Behavior and Magnetic Susceptibility of Au2CuAl Biomedical Shape Memory Alloys
Kenji GotoAkira UmiseMasaki TaharaHideki Hosoda
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2019 Volume 60 Issue 5 Pages 662-665

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Abstract

The compressive deformation behavior and magnetic volume susceptibility were investigated for Au2CuAl biomedical shape memory alloys in a compositional range from 25 to 45 mol%Cu. Compression tests revealed that the stress for martensite variant reorientation was 282 MPa in Au2CuAl, and the value increased with the Cu content. On the other hand, the slip stress was higher at intermediate compositions. Moreover, intergranular fracture was suppressed during compressive deformation. Calculated antiphase boundary (APB) energies suggest the dissociation of superlattice dislocation, which leads to the active slip of ⟨111⟩-type. The measured magnetic volume susceptibility was −2.7 × 10−6 in Au2CuAl, hence, this alloy is judged to be metal-artifact-free in magnetic resonance imaging (MRI). The magnetic susceptibility increased up to +7.0 × 10−6 with increasing Cu content.

1. Introduction

Intravascular treatment has attracted much attention recently. Intervention medical devices such as stents and guide wires are used under X-ray fluoroscopy.1) TiNi shape memory alloy (SMA) is often used in the intervention devices.2) However, concerns are raised on the possibility of Ni allergy and poor radio-opacity.24) Hence, a new biomedical SMA exhibiting good biocompatibility, shape memory properties and X-ray radiography is required. Based on the background, we have proposed Au2CuAl alloy as a promising candidate. Au2CuAl is composed of nontoxic elements only, contains heavy element Au, which allows high X-ray absorption, and possesses shape memory effect.5) A typical Au2CuAl alloy is expressed as Au7Cu5Al4 and called “Spangold” owing to its glittering character due to martensitic transformation and originally developed for jewelry.6,7) This alloy has A2 (bcc) - B2 - L21 (Heusler) order-disorder phase transformation,8,9) and the L21 parent phase causes martensitic transformation.10,11) The typical crystal structure of martensite is orthorhombic with c/a value of 0.943.11) Monoclinic phase is also reported in Au–18 mass%Cu–6 mass%Al alloy.10) On the contrary to the crystallographic information, limited data is available regarding mechanical properties such as Vickers hardness as a function of the Al content.12) Then, we have investigated the tensile mechanical properties of ternary AuCuAl alloys, and found that they are brittle when the Al content is higher than 15 mol%.13) In addition, the fracture mode is intergranular fracture, and Fe addition enhances ductility.14) However, there is still no classification on plastic deformation behavior of ternary Au2CuAl. Therefore, the first purpose of this study is to evaluate the deformation behavior by compression tests.

Magnetic resonance imaging (MRI) is a powerful observation tool; however, accurate diagnosis is often inhibited by metal artifacts. The metal artifacts is caused by difference in magnetization between organs and devices, which causes disturbance in the uniformity of the magnetic field.2) The metal artifacts in MRI can be suppressed by controlling magnetic volume susceptibility close to the human body (−9 ± 2 × 10−6)2) and several metal-artifacts-free materials have been developed such as AuPtNb,15) ZrNb,16) ZrMo17) and NbTaWZr.18) Then, the second purpose of this study is to clarify the magnetic susceptibility of Au2CuAl toward the intervention device for MRI.

2. Experimental Procedure

The chemical compositions were Au–(25, 30, 35, 40, 45) mol%Cu–25 mol%Al. 10 g alloy ingots were produced by arc-melting with W electrode in Ar using 99.99% purity Au and Cu, and 99.9% Al. Since the maximum weight change after melting was 0.1 mass%, the nominal compositions were regarded as alloy composition. Hereafter, the alloys are named regarding the Cu content. For instance, 25Cu stands for Au–25 mol%Cu–25 mol%Al. The ingots were hot-pressed at 873 K in vacuum, and heat-treated at 773 K for 3.6 ks in Ar followed by water quenching (298 K). Then, disk-shape specimens with 2 mm of thickness were produced, and the test specimens were made by electrodischarge machining. For the phase identification, θ-2θ X-ray diffraction measurement (XRD: Philips X’pert Pro Galaxy System) was conducted at room temperature (RT, 298 K) using with CuKα radiation. Martensitic transformation temperatures were determined by differential scanning calorimetry (DSC: Bruker AXS DSC3200SA) in a temperature range from 223 to 423 K with a heating/cooling rate at 0.167 K/s. Compression tests were done by a tensile testing machine (Shimadzu Autograph AG-20kNXPlus) at RT with a constant strain rate of 3.3 × 10−4/s at RT (298 K). The specimen shape was a cylinder having 2 mm in diameter and 7 mm in height. Magnetic volume susceptibility was measured by a magnetic susceptibility balance (Sherwood Scientific LTD. MSB-AUTO) at RT (298 K) using rod shape specimens with 2 mm in diameter and 5 mm in height with hemisphere ends of 1R.

3. Results and Discussion

3.1 Phase constitution

Figure 1 shows XRD profiles obtained at RT (298 K). The apparent phases evaluated from the XRD profiles are also listed in Table 1. All of the alloys except 45Cu contained L21 parent phase and orthorhombic martensite phase. Small peaks of monoclinic martensite phase were detected in 35Cu and 45Cu only. 45Cu was composed of the martensite phases only. Forward (M) and reverse (A) martensitic transformation temperatures (Ms, Mf, As and Af) were determined by DSC as shown in Fig. 2. The transformation temperatures were also listed in Table 1. The subscripts “s” and “f” stand for start and finish, respectively. In all of the alloys, only single peaks were detected, and all As were higher than RT regardless of the composition. In 25Cu, 30Cu and 35Cu, Ms were all lower than RT, but forward transformation was hardly detected in 40Cu and 45Cu, probably due to wide temperature hysteresis resulting to small temperature difference between samples and reference materials. It should be noted that the disappearance of forward martensitic transformation in DSC measurements has been sometimes reported in SMAs such as Nb-added AuTiCo.19) XRD results and DSC results are consistent with each other. Microstructure of 25Cu was reported.13)

Fig. 1

Partial XRD profiles of Au2CuAl alloys. Open circles stand for the reflections from the parent phase (P), open and solid squares stand for the reflections from the orthorhombic (Mo) and the monoclinic (Mm) martensite phase, respectively.

Table 1 Apparent phases at RT by XRD shown in Fig. 1 and martensitic transformation temperatures by DSC shown in Fig. 2. P, Mo and Mm stand for L21 parent, orthorhombic martensite and monoclinic martensite, respectively.
Fig. 2

Partial DSC curves of Au2CuAl alloys. Note that forward phase transformation was not detected in 40Cu and 45Cu.

3.2 Compressive deformation behavior

Figure 3 shows stress-strain curves by the compression tests at 298 K. All of the alloys, except 40Cu, did not break during the compression but showed plastic deformation. Especially, 25Cu, 30Cu and 45Cu had good compressive deformability over 5%, and these results were quite different from those obtained by tensile tests.13) Therefore, it was revealed that (1) intergranular fracture is well suppressed during compression, and (2) Au2CuAl is not intrinsically brittle when grain boundary fracture is suppressed. Moreover, 25Cu, 30Cu and 45Cu all exhibited a two-stage yielding behavior. The two stage yielding behavior is often observed in shape memory alloys, and the first yielding corresponds to martensite variant reorientation (MVR) or stress-induced martensite formation. The second yielding often corresponds to dislocation slip (permanent deformation). On the other hand, 35Cu and 40Cu both exhibited single-stage yielding, and they buckled just after yielding. Then, the yielding behavior of 35Cu and 40Cu is judged to be slip deformation instead of MVR. This implies shape memory effect does not occur in these alloys. Figure 4 shows the results of MVR stress (σMVR) and slip stress (σSLIP) as a function of the Cu content. σMVR linearly increases with the Cu content. This is partially because As becomes higher with the Cu content. It is noted that σMVR in many SMAs is minimized at the temperature between Ms and As20) and that it increases with decreasing test temperature from martensitic transformation temperature such as NiTi, NiMnGa21) and (Au, Fe)Ti.22) On the other hand, σSLIP dose not simply increase with the Cu content but is higher at the intermediate composition, such as 35Cu. This may be partially due to solid solution (antisite defect) hardening by excess Cu substituting the Au sites.

Fig. 3

Compressive stress-strain curves of Au2CuAl alloys.

Fig. 4

Stress for martensite variant reorientation and slip stress evaluated in Au2CuAl alloys as a function of Cu content.

In order to evaluate the deformation behavior, antiphase boundary energy (APBE) was estimated. In the L21 type compounds, three possible slips are known: Burgers vector b = a⟨110⟩, b = 2a⟨100⟩, and b = 2a⟨111⟩, where a is the lattice constant of the bcc unit. It is commonly known from the von Mises criteria that bcc based intermetallics can be ductile when ⟨111⟩ dislocations move; at least five slip systems are active. For the activation of ⟨111⟩ slip, the perfect dislocation has to be dissociated into a combination of superpartial dislocations with APBs, and this must occur when APBE is sufficiently low. The dislocation dissociation of L21 compounds is described as: a/2⟨111⟩ / APB(I) / a/2⟨111⟩ /ABP(II) / a/2⟨111⟩/ APB(I) / a/2⟨111⟩.23) Then, APBEs on {100}, {110}, {112} and {123} of 25Cu (stoichiometry) were evaluated based on APBE calculation for B2 compounds24) and listed in Table 2. The assumptions are: the long range order parameter of 1, the interaction energies between unlike atoms9) listed in Table 3, and the experimental lattice parameter (2a = 0.623 nm). The distance between separated superpartial screw dislocations (= width of APB) can be estimated by the equation and also listed in Table 2;   

\begin{equation} r = G\boldsymbol{{b}}^{2}/2\pi\gamma_{\text{APB}}, \end{equation} (1)
where r is the separation distance, G is the shear modulus, b is the Burgers vector and γAPB is APBE. Since G is not reported in Au2CuAl, 52 GPa of Cu2MnAl was employed.25) The calculated distances all exceed 3.1 nm and 10b. This is larger than 5b for the limitation of Elastic theory. Then, the superlattice dislocation with b = 2a⟨111⟩ can be dissociated into a combination of four a/2⟨111⟩ super-partial dislocations containing APBs. This dissociation is possible even if the G value is 30% lower than the employed value. Therefore, Au2CuAl is judged to be ductile in polycrystalline state due to the ⟨111⟩ slip. In this case, planner slip is predicted since all the superpartial dislocations have to move on the same slip plane.

Table 2 Antiphase boundary (APB) energies and width of APBs in stoichiometric Au2CuAl.
Table 3 Interaction energies employed.9)

3.3 Magnetic susceptibility

Figure 5 shows the magnetic volume susceptibility as a function of the Cu content. The magnetic susceptibility was ranged from −2.7 to +7 (×10−6). The result revealed that the absolute values of magnetic volume susceptibility of Au2CuAl alloys are quite small in comparison with other nonmagnetic metals (e.g.: Ti = 182, Cr = 320, Zr = 109 and Pt = 279 (×10−6)),26) and that the stoichiometric Au2CuAl (25Cu) alloy has similar magnetic susceptibility to that of human body (−9 ± 2 × 10−6). In this case, Au2CuAl alloy is judged to be MRI metal-artifact-free. A real observation of MRI is now planned.

Fig. 5

Magnetic volume susceptibility as a function of Cu content in Au2CuAl alloys. The open circles are the experimental data at 298 K by magnetic susceptibility balance, and the solid circles are estimated values using pure element data26) and the rule of mixture.27)

As for the composition dependence, the magnetic susceptibility increases with increasing Cu content. In order to estimate the compositional effect, the volume magnetic susceptibility χvt is calculated by the following equation,27)   

\begin{equation} \chi_{vt} = d_{t}\left\{\left(\frac{W_{1}}{W_{t}}\cdot\frac{\chi_{v1}}{d_{1}}\right) + \left(\frac{W_{2}}{W_{t}}\cdot \frac{\chi_{v2}}{d_{2}}\right) + \cdots \left(\frac{W_{n}}{W_{t}}\cdot \frac{\chi_{vn}}{d_{n}}\right)\right\}, \end{equation} (2)
where Wt is the total mass, and Wn, χvt and dn are the mass, volume magnetic susceptibility and density of component n, respectively. χvt values (×106) are: −34 for Au, −9.63 for Cu and +20.7 for Al26) when these elements are fcc pure metals. The calculated results show that both lines have similar tendency as shown in Fig. 5. The increase in magnetic susceptibility can be understood by the decrease in Au, which has the largest negative susceptibility. Then, the experimental data and compositional tendency of magnetic susceptibility are reasonable and important for the alloy design of MRI compatible AuCuAl alloys. Although a slight difference between the experimental and calculated values is observed, this difference is probably due to the difference in crystal structure, atomic distance and density. Nevertheless, the simple calculation by eq. (2) can qualitatively predict the magnetic susceptibility.

4. Conclusions

  1. (1)    Polycrystalline Au2CuAl alloys were deformed by compression tests at RT. 25Cu (stoichiometry), 30Cu and 45Cu alloys all showed comparably good compressibility. Also, intergranular fracture was suppressed under compression.
  2. (2)    25Cu, 30Cu and 45Cu all exhibited a two-stage yielding behavior, the former must correspond to martensite variant reorientation, and the latter must correspond to slip deformation.
  3. (3)    APB energies of Au2CuAl estimated were 142–189 mJ/m2 in {110}, {110} and {112}. 2a⟨111⟩ superlattice dislocation could be dissociated into four superpartial dislocations with APBs.
  4. (4)    The magnetic volume susceptibility of Au2CuAl was −2.7 × 10−6, and it increased with the Cu content. This value is close to that of human body. Hence, this alloy is judged as metal-artifact-free in MRI.

Acknowledgements

This work was supported by Grant-in-Aid for Scientific Research Kiban S 26220907 from Japan Society for the Promotion of Science (JSPS). We would like to thank Prof. Tso-Fu Mark Chang for his support to complete this research.

REFERENCES
 
© 2019 The Japan Institute of Metals and Materials
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