The present invention relates to an interlayer for joining materials of dissimilar coefficient of thermal expansion (CTE).
A divertor is a device within a tokamak plasma vessel which allows for removal of waste material and power from the plasma while the tokamak is operating. The waste material naturally arises as particles diffuse out from the magnetically confined plasma core. To confine the plasma, tokamaks utilise magnetic fields. However, particles slowly and randomly diffuse out, and eventually impact one of the divertor surfaces, which are configured to withstand the high flux of ions.
The high heat flux and erosion experienced by the surface layer of a divertor requires a material that can stand up to those conditions. A common choice is a refractory metal having a melting point over 1850° C., e.g. titanium or vanadium, more preferably over 2000° C., e.g. molybdenum, or tungsten. However, refractory metals are generally brittle, so the cooling elements of the divertor which contain a coolant under pressure are commonly made from an alternative material which is tougher (hereafter a “thermally conductive material”), such as copper.
This presents a problem—the thermal expansion coefficient of the thermally conductive material will be very different to that of the refractory metal, and there will be significant heat flux and temperature changes at the join between them. This means that a common failure mode of a divertor is damage due to stresses at this join.
The stresses at the join between the thermally conductive material and the refractory metal can be mitigated by providing an interlayer—a layer of material having a thermal expansion coefficient intermediate between that of the refractory metal and that of the thermally conductive material. The interlayer may be a composite material comprising both the refractory metal and the thermally conductive material, and may be graded such that the proportion of each material varies linearly through the interlayer, to provide a more gradual change in thermal expansion coefficient and other material mechanical and thermal properties.
The “linear” interlayer 210 has a thermal expansion coefficient which decreases linearly with distance across the interlayer. While this is shown as a continuous decrease, it may be the result of e.g. a laminated composite with differing proportions of high thermal expansion and low thermal expansion layers in the different regions, with the value plotted on the graph being the effective bulk thermal expansion coefficient over a small distance.
The “stepped” interlayer 220 has a thermal expansion coefficient which decreases in a stepwise fashion with distance across the interlayer, with a linear decrease between each step.
Each of these could be effectively implemented by lamination of thin films of each material, or by powder grading. However, lamination results in bonding layers through the interlayer which are parallel to it, and may be prone to failure depending on the materials being joined. Powder grading can suffer from similar failures in stepwise interlayers, at the interface between layers of different grading.
While the above has been written in the context of a divertor for a tokamak, such interlayers are also useful in other contexts where there is a need to join two materials with different thermal expansion coefficients where temperature variations occur. The particular case of a refractory metal joined to a thermally conductive material is also relevant on the “first wall” (i.e. plasma facing surface) of a plasma chamber such as a tokamak, and to other applications where a high heat flux and high erosion are expected, such as rocket exhausts.
According to a first aspect of the invention, there is provided a method of manufacturing an interlayer comprising a first material and a second material. A first structure 302 is formed from the first material on a first surface using an additive manufacturing technique. The first structure comprises at least one surface which is not in contact with the first surface and faces towards the first surface at an angle of less than 90 degrees.
A second structure 303 is formed from the second material, such that the second structure conforms to the first structure on a side of the first structure opposite the first surface. The first structure and the second structure together form the interlayer, and the first structure and second structure are shaped such that separating the first and second structure requires deforming one or both of the first or second structure.
According to a second aspect, there is provided an interlayer for joining first and second components. The interlayer comprises first and second surfaces and first and second structures. The first structure is formed from a first material, and extends from the first surface. The first structure has at least one surface which is not in contact with the first surface and faces towards the first surface at an angle of less than 90 degrees. The second structure is formed from a second material. The second structure extends to the second surface and conforms to the first structure on a side of the first structure opposite the first surface. The first structure and the second structure together form the interlayer, and the first structure and second structure are shaped such that separating the first and second structure requires deforming one or both of the first or second structure.
Further embodiments are provided in claim 2 et seq.
A construction for producing a composite interlayer is illustrated in
The use of additive manufacture to form the initial structure provides several benefits. Firstly, additive manufacture processes will often provide a somewhat rough surface, which improves bonding to the second material. Secondly, the use of additive manufacture allows for complex shapes to be formed at small scale. This potential complexity allows for a larger surface area of interface between the two materials for a given area of the interlayer, and for additional features to provide mechanical keying between the two materials. Furthermore, such structures can be easily designed with “structural grading” i.e. the configuration of the first structure such that the resulting layer has a given relationship between depth and proportion of each material.
Mechanical keying is provided by including features such that, even in the case of complete failure of the bonding between them, the first and second structures could not be pulled apart without deforming one or both of them. For example, this may be achieved by having “overhangs” in the first structure as shown in
It is advantageous for the first surface to have a large surface area, when compared to the area in the plane of the interlayer. Greater surface area improves the overall bonding strength between the first structure and the second material, and inhibits the propagation of cracks across the interlayer.
To simplify design of the first structure, it may be designed as several smaller units which are tiled across the plane of the interlayer, and then the resulting tiling is printed to form the first structure. The first structure may be a periodic structure, e.g. where the tiles are the same and can tile periodically, or it may be a non-periodic structure, e.g. to provide different types of structure in different parts of the interlayer. For example, the first structure may be configured such that one region has improved keying features for additional structural stability, and another region has a different structural grading profile to account for differences in expected heat load across the interlayer.
One particularly useful class of surfaces which can be used to design the first structure are triply periodic minimal surfaces (TMPS), which are a class of mathematical surfaces which locally minimise their area, and which tile space periodically in three dimensions. Depending on the TPMS used, it can be converted from an infinitely thin mathematical ideal to a practical structure than can be printed by either filling in the surface (e.g. capping any exposed ends and filling the interior of the capped surface), or expanding the surface with a non-zero thickness (e.g. such that the structure is the locus of points within a distance t of the surface, where t may be a function of position within the interlayer and/or may be restricted to measurement in one plane).
Three TMPS of note are the gyroid, SchwarzD and SchwarzP surfaces, defined by the following equations and shown in
sin x cos y+sin y cos z+sin z cos x=0 Gyroid (FIG. 5A):
sin x sin y sin z+sin x cos y cos z+cos x sin y cos z+cos x cos y sin z=0 SchwarzD (FIG. 5B):
cos x+cos y+cos z=0 SchwarzP (FIG. 5C):
Each figure shows a portion of the surface, as would be used to construct an interlayer. For the gyroid and SchwarzP surface, this involves expanding the surface with a thickness depending on the depth into the interlayer, and for the SchwarzD surface this involves capping and filling the surface as described above. In each case, the position of the surface is chosen such that the first material fills the lower portion of the interlayer. The gyroid and SchwarzP surface provide improved mechanical keying compared to the SchwarzD surface, due to the presence of through holes (i.e. it would require actual breaking of the structures to separate them, rather than just deformation), and additionally their construction allows for the thickness at different depths through the interlayer to be more easily configured, e.g. by varying the distance t as defined previously. In each case, the region of the TPMS within the bounds of the interlayer is at most one period vertically (i.e. in the direction of the thickness of the interlayer), and extends for many periods horizontally. The size of each cell (i.e. unit of the repeating structure) of the TMPS can be adjusted by applying appropriate scaling to the function defining it. 1
The first structure may be configured to have a specific cross section at each depth through the interlayer, e.g. as a proportion of the area of the interlayer. In this way the required grading for the interlayer can be achieved structurally. For example, to achieve the linear grading 210 shown in
The second exemplary interlayer 620 follows a function such that the slope of the function approaches zero monotonically towards the low thermal expansion material, i.e. the magnitude of the slope is always steady or decreasing as the function moves towards the low thermal expansion material. This results in the steepest changes in thermal expansion coefficient being adjacent to the high thermal expansion material, which provides favourable performance as the high thermal expansion material and the interlayer at that interface will generally be more ductile and compliant than the low thermal expansion material and the interlayer at the corresponding interface, and therefore able to accommodate higher stresses without failure.
One example function for the second exemplary interlayer would be a polynomial function of the form α=Σk=0n akdk, where α is the coefficient of thermal expansion (CTE) (averaged over a small thickness, in the case of composite materials), d is the depth through the interlayer (i.e. the distance from one of the materials being joined), and ak are numerical coefficients. By selection of the coefficients ak, a profile can be determined such that slope of the resulting function approaches zero monotonically at least within the range of the interlayer (0<d<1, as defined previously). For example the interlayer may follow a square function (where n=2) or a cubic function (where n=3).
While the exemplary interlayers shown in
Similar to the difference between the linear interlayer and stepped interlayer in
For an approximation to the sigmoid interlayer, the difference in average CTE for adjacent steps closer to the edge of the interlayer (i.e. closer to the high or low thermal expansion surfaces) will be less than the difference in average CTE for adjacent steps towards the midpoint of the interlayer.
For an approximation to the second exemplary interlayer, the difference in average CTE for adjacent steps will be greater the closer those steps are to the high thermal expansion surface.
While the above is described in terms of an interlayer constructed in discrete steps, it also applies to other constructions of an interlayer. As a first example, an interlayer which perfectly follows the functions shown in
The particular case of N=4 is shown in
The N=4 case will hold for any interlayer sufficiently different from the linear interlayers to show the desired improvements. The advantage will increase for interlayers that obey closer approximations to the smooth functions discussed above, but this will be a trade off with structural requirements of the interlayer (e.g. providing sufficient strength to keying features) and practicality of manufacture (e.g. there may be a need for a minimum cross section of e.g. 5%, 2%, or 1% of the interlayer area as the ideal grading function tends to zero, because the resulting structure would otherwise not be achievable).
Where the above discusses average CTE, it should be noted that this is linearly related to the fraction of the interlayer within the region which is composed of the first material. In particular,
where k is the volume fraction of the first material, CTE1 is the coefficient of thermal expansion of the first material, and CTE2 is the coefficient of thermal expansion of the second material. As such, any relationship between aCTE in different regions of the interlayer apply equivalently to the volume fraction of the first material in that region (and thereby to the average cross section of the first material in that region). In particular, in the case where the first material is the low thermal expansion material, the average cross sectional area in each region will decrease with distance from the first surface, and the relationship between differences in average cross sectional area will be the same as the relationships between differences in aCTE as defined above.
Suitable additive manufacturing methods for forming the first structure include powder bed systems, powder feed systems, and wire fed systems.
In a powder bed system, a powder bed is created by raking a powder of the first material across the work area. An energy source (e.g. a laser or electron beam) is used to bind the powder by melting or sintering into the required shape for each layer. A further layer of powder is then raked across the surface, and the process is repeated to build up the structure layer-by-layer.
Alternatively, rather than sintering the powder in-place using an energy source, a binder (e.g. a resin) may be applied to the required areas of powder in each layer, in a technique known as metal binder jetting. This forms a “green” part, which can then be processed into the final structure by curing the binder (if necessary), removing excess powder, and sintering the bound powder. The binder can be chosen such that the step of sintering also removes the binder—i.e. it melts away or burns off, or an additional step to remove the binder e.g. chemically may be included. Further post-processing steps such as infiltration of additional metal into the sintered structure may be included.
As a yet further alternative, the powder may be provided as a mixture of the powder and a curable binder, and the binder may be selectively cured in the required areas in each layer, in a manner equivalent to resin-based 3d printing. This method is known as “metal lithography” or “lithography based metal manufacturing”. Such selective curing may be achieved by selectively exposing a photopolymerisable resin to an appropriate wavelength of light, e.g. using a display screen or laser. Once the “green” structure has been built, it is processed as for the metal binder jetting technique above.
In a powder feed system, a powder of the first material is fed via a nozzle onto the build surface, and heat source (e.g. a laser or electron beam) is used to melt and sinter the powder is as is applied. The nozzle and heat source are then moved relative to the structure (which may involve the nozzle remaining stationary and the structure moving), and the process is repeated to build up the desired structure.
Wire feed systems are similar to powder feed systems, except that the feedstock is a wire of the first material, rather than a powder. The wire is contacted against the workpiece, and the end of the wire is melted (e.g. by a laser or electron beam) to deposit a small dot of the material, and this process is repeated with the wire moved relative to the structure.
Similar systems may provide the first material as a melt spray, or in some other suitable form.
While additive manufacture is the most promising technique for forming the first structure for an interlayer having the desirable mechanical keying and large surface area features discussed earlier, other suitable techniques such as casting may also be used to achieve a first structure such that when the second structure is provided to form the interlayer, the first structure and second structure are shaped such that separating the first and second structure requires deforming one or both of the first or second structure.
The second material may be filled into the first structure by any suitable method. Examples include casting, providing the second material as a powder that is then sintered, providing the second material as a solid which is forced to conform to the first structure via the application of pressure and heat, or providing the second structure in the same additive manufacture process as the first structure.
Casting involves providing the second material as a liquid, which then floods the spaces left by the first structure and is allowed to solidify in place. Casting is appropriate where the melting point of the second material is less than the melting point of the first material, to avoid damage to the first structure during casting.
Where the second material is provided as a powder, this will similarly be made to fill the spaces left by the first structure, and can then be sintered to form the second structure by any suitable technique, e.g. hot isostatic pressing (HIP), cold isostatic pressing, vacuum sintering, uniaxial hot pressing, vacuum uniaxial hot pressing, or field assisted sintering technique (FAST) pressing.
Where the second material is provided as a solid, this may be forced to conform to the second structure by the application of pressure and heat—i.e. causing a plastic deformation of the second material such that it conforms to the first structure and forms the second structure. This is particularly suitable where the second material is more deformable than the first material, such that the second material is deforming around a substantially unchanged first structure.
With any of the above techniques, bonding may be improved by first providing a thin layer of the second material on the upper face of the first structure, e.g. by the application of a foil, by plasma spraying, by chemical vapour deposition, or other suitable technique.
The second structure may also be provided within the same additive manufacturing technique as the first structure. For powder bed techniques, this may be performed by providing each powder layer such that certain regions of the layer comprise a powder of the first material, and other regions of the layer comprise a powder of the second material, such that the first and second structures are formed together when the powder layers are bound (whether by melting, sintering, or application of a binder). For powder and wire fed techniques, this may be done by providing separate feeds for each of the first and second material, or a single feed which can switch between the two materials during the additive manufacturing process.
Additionally, with any of the above techniques, they may be performed in a way which forms the component the interlayer is joined to in situ on the interlayer, or vice versa. For example, when the second material is cast or provided as a powder, this may be done in a mould such that the portions beyond the interlayer form the desired component. Where the second material is provided as a solid and forced to conform by pressure, this solid may be the component which the interlayer is intended for. Where the second material is constructed via additive manufacture, the additive manufacture may also form the desired component.
One particular example use case for such interlayers is in attaching cooling apparatus, e.g. heat sinks and heat exchangers, to components expected to undergo high heat flux. In such examples the interlayer typically connects a high thermal expansion material (e.g. copper) of the cooling apparatus to a low thermal expansion material (e.g. tungsten or other refractory metal) of the component undergoing high heat flux. A particular example of such a component is a divertor of a tokamak plasma chamber, as described in the background.
Example materials for the interlayer include the case where the first and second material are both metals, e.g. the first material is a refractory metal or an alloy thereof, and the second material is copper or an alloy thereof. The refractory metals are those elemental metals having a melting point above 1850° C., which includes niobium, molybdenum, tantalum, tungsten, rhenium, and titanium.
Number | Date | Country | Kind |
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2105385.5 | Apr 2021 | GB | national |
PCT/EP2022/054990 | Feb 2022 | WO | international |
Filing Document | Filing Date | Country | Kind |
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PCT/EP2022/059477 | 4/8/2022 | WO |