EP0846189A1 - Stickstoff enthaltende memory und vibrationsdämpfende legierungen - Google Patents

Stickstoff enthaltende memory und vibrationsdämpfende legierungen

Info

Publication number
EP0846189A1
EP0846189A1 EP96922913A EP96922913A EP0846189A1 EP 0846189 A1 EP0846189 A1 EP 0846189A1 EP 96922913 A EP96922913 A EP 96922913A EP 96922913 A EP96922913 A EP 96922913A EP 0846189 A1 EP0846189 A1 EP 0846189A1
Authority
EP
European Patent Office
Prior art keywords
steel
iron
nitrogen
shape memory
steels
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Ceased
Application number
EP96922913A
Other languages
English (en)
French (fr)
Inventor
Kari Martti Ullakko
Valentin Gavriljuk
Peter Yakovenko
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Individual
Original Assignee
Individual
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Priority claimed from FI953393A external-priority patent/FI953393A0/fi
Priority claimed from FI960866A external-priority patent/FI960866A/fi
Priority claimed from FI961922A external-priority patent/FI961922A0/fi
Application filed by Individual filed Critical Individual
Publication of EP0846189A1 publication Critical patent/EP0846189A1/de
Ceased legal-status Critical Current

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Classifications

    • CCHEMISTRY; METALLURGY
    • C22METALLURGY; FERROUS OR NON-FERROUS ALLOYS; TREATMENT OF ALLOYS OR NON-FERROUS METALS
    • C22CALLOYS
    • C22C38/00Ferrous alloys, e.g. steel alloys
    • C22C38/18Ferrous alloys, e.g. steel alloys containing chromium
    • C22C38/40Ferrous alloys, e.g. steel alloys containing chromium with nickel
    • C22C38/58Ferrous alloys, e.g. steel alloys containing chromium with nickel with more than 1.5% by weight of manganese

Definitions

  • Iron-based shape memory and vibration damping alloys containing nitrogen Iron-based shape memory and vibration damping alloys containing nitrogen.
  • This invention concerns nitrogen-containing shape memory and vibration damping metals, particularly shape memory steels.
  • Shape memory metals mean metallic materials, in which a so-called one or two- way shape memory effect appears.
  • the shape memory effect is based on the exploitation of a martensitic transformation.
  • an austenitic (austenite is a phase that is stable at high temperatures) sample is cooled, it forms martensite. If the formation of the martensite does not favour any direction, for example due to external stress, the shape of the piece does not change.
  • the twin structure of the martensite phase of the material is rearranged so that the twins that are in an advantageous orientation with the stress grow at the expense of the others and new martensite can arise as a result of the stress.
  • the piece is reheated above the temperature of austenite formation, the material may return to its form preceding the deformation.
  • martensite does not arise during cooling, but forms during deformation. Because twinning occurs in three dimensions, the shape of the piece may even change during deformation in a very complicated manner, and nevertheless still return to its original shape when heated. A one-way shape memory effect can be exploited, for example in attachment, tensioning and prestressed structures.
  • the sample When a rod-like sample deformed by straining is heated to the austenite range, the sample will recover its length before deformation, if the shape memory effect is complete. Recovery may also be partial. If, for example, the recoverable strain is half of the strain arising from stretching, it is said that the recovery rate is 50 %. The stress caused by recovery is called recovery stress.
  • the material In a two-way shape memory effect, the material "remembers two shapes", which are achieved by heating and cooling. The temperature difference between the states may even be 1°C.
  • actuators in active vibration damping in robotics, valves, heat relays and composite structures.
  • BCT Body-centred tetragonal
  • BCC Body-centred cubic
  • HCP Hexagonal close-packed
  • BCT martensite is formed from the FCC (Face-centeral cubic) austenite phase.
  • BCT martensite is generally formed in such an alloy in which there is a high stacking fault energy.
  • HCP martensite arises in deformation. HCP martensite generally arises in such alloys, in which there is a small stacking-fault energy and a small change in specific volume.
  • the memory properties are based on the fact that deformation takes place by twinning, nor does slip practically appear.
  • the second of the patents referred to is also an iron-based memory steel, in which there is Cr 5 - 20 %, Si 2 - 8 % and at least one of the following elements: Mn 0-1 - 14.8 %, Ni 0.1 - 20 %, Co 0.1 - 30 %, Cu 0.1 - 3 %, N 0.001 - 0.3 %, and in which Ni + 0.5Mn + 0.4Co + 0.06Cu + 0.002N ⁇ 0.67 (Cr + 1.2Si) - 3.
  • the last patent referred to depicts an iron-based memory steel, in which there is Cr 0.1 - 5.0 %, Si 2.0 - 8.0 %, Mn 1.0 - 14.8 % and at least one of the following elements: Ni 0.1 - 20 %, Co 0.1 - 30 %, Cu 0.1 - 3.0 %, N 0.001 - 0.400 %, and in which Ni + 0.5Mn + 0.4Co + 0.06Cu + 0.002N ⁇ 0.67 (Cr + 1.2Si), which is balanced with iron and random impurities.
  • the addition of at least one element from the group Cr, Ni, Co or Mo is intended to improve corrosion resistance.
  • corrosion resistance is not very good in these steels, on account of the high manganese content.
  • these alloys oxidize at high temperatures. Oxidation may occur already when the sample is being heated to the austenite range to recover the original shape after deformation.
  • the addition of chromium to the alloy, in which there is 20 - 40 % manganese and 3.5 - 8.0 % silicon, may lead to the formation of a brittle ⁇ -phase, which reduces the shape memory properties, formability and ductility of steel.
  • Certain ferrite steels have a high damping capacity.
  • the damping is based on magneto-elasticity. Their use is limited by the fact that their damping properties are substantially weakened by deformation or welding. In addition, their strength is only at the level of mild structural steel (Fe37), and they are cold-brittle.
  • phase boundary between the e-martensite phase appearing in certain iron and manganese alloys and the austenite phase is sensitive to the mechanical loading of the material. This movement has been shown to damp vibration (C.-S.
  • Figure 1(b) shows the stress-temperature graphs of the same example steels in Figure 1(a) measured during the heating cycle carried out after the treatment described. During the heating cycle, the length of the samples was kept constant. The treatments shown in the figures were carried out five times and the curves show the fifth treatment,
  • Figure 2 shows the length of a 6 % deformed sample of one alloy according to the invention (steel number 5) as a function of temperature
  • Figure 3 shows the damping capacity (logarithmic decrement) of one steel (steel number 25) as a function of the vibration amplitude compared to the reference steel (steel number 27) and
  • Figure 4 shows the stress of the same steels as a function of strain.
  • the surface energy of the stacking fault of the austenite must be as small as possible.
  • e-martensite must form in the deformation and the quantity of ⁇ -martensite must be as small as possible.
  • the strength ofthe austenite must be as high as possible. In a strong matrix, the deformation of austenite through slipping becomes difficult. 4.
  • the temperature of formation of martensite M s must be above the Neel temperature T N) at which antiferromagnetic ordering takes place.
  • Manganese stabilizes austenite strongly and increases the solubility of nitrogen, which also stabilizes austenite.
  • Mn-content is less than 5 %
  • ⁇ -martensite begins to form (in addition to e-martensite) to such an extent that memory and damping properties begin to substantially worsen.
  • the reduction of the manganese content may cause the formation of ⁇ -ferrite during the cooling following melting, which leads to the formation of porosity, because the solubility of nitrogen in ⁇ - ferrite is very small. If, on the other hand, the manganese content exceeds 50 %, the Neel temperature rises too much, nor can even the addition of silicon and nitrogen reduce it sufficiently from the point of view of the shape memory effect.
  • Silicon reduces the stacking fault energy of austenite, increases strength and reduces the Neel temperature. If the content is less than 2 %, the desired properties are generally no longer obtained. Nonetheless, thanks to nitrogen alloying, the memory effect is also present in such alloys in which there is no silicon at all. At silicon contents in excess of 8 %, the ductility of steels diminishes and the hot and cold-workability is reduced.
  • Nitrogen has been selected as part of the alloy, because it reinforces austenite (and martensite) more than any other element and stabilizes austenite, as well as improving corrosion resistance. Nitrogen improves both shape memory and damping properties in the alloys according to the invention. Nitrogen prevents the formation of the brittle ⁇ -phase, which reduces ductility.
  • An appropriate Neel temperature can be set by selecting a suitable ratio of nitrogen and manganese. The alloying of nitrogen and manganese has opposite effects on the Neel temperature. When the nitrogen content is less than 0.01 %, the effects described above are insignificant. If the content is above 0.8 %, the steel becomes brittle.
  • Chromium reduces the stacking fault energy and improves corrosion resistance and high temperature oxidation resistance. Chromium also increases the solubility of nitrogen. If the chromium content is less than 0.1 % the above effects are insignificantly small. If, on the other hand, the chromium content is above 20 %, ⁇ -ferrite may form during the solidification stage of the smelting of the steel. In the same way, during the solidification or during the heat treatment stage of steel, brittle ⁇ -phase may form.
  • Nickel stabilizes austenite strongly and improves the corrosion resistance of steel and its high temperature oxidation resistance. At contents of less than 0.1 %, the effects are insignificant. At contents of more than 20 %, the temperature at which martensite still forms with the aid of deformation becomes very low, when the amount of martensite forming decreases and finally no martensite forms at all.
  • Cobalt improves the memory and hot-working properties of steel. At contents of less than 0.1 %, the effects are insignificantly small, while if the content grows to more than 20 %, no further improvements are gained.
  • Copper stabilizes austenite and improves corrosion resistance. The advantageous effects of copper appear, if the content is more than 0.1 %. If the copper content exceeds 3 %, the formation of ⁇ -martensite in deformation is prevented, because copper increases the stacking fault energy of austenite.
  • Vanadium and niobium increase yield strength. They also increase the solubility of nitrogen in a molten state, which is important from the point of view of manufacture. If the contents are less than 0.01 %, the effects are insignificant, while if they exceed 1 %, shape memory properties and the formability of the steel weaken. Vanadium and niobium form finely dispersed nitrides, which reinforce steel, which in turn may increase the recoverable strain of the shape memory effect.
  • Molybdenum reduces the stacking fault energy and improves high temperature oxidation resistance. If the content is smaller than 0.1 %, the effects are insignificantly small, and if the content is greater than 3 %, the memory and hot-workability properties of the steel worsen.
  • Carbon has been selected as an alloying component, because it reinforces and stabilizes austenite and improves the shape memory effect. Contents of less than 0.001 % have no effect on the properties, and if the content exceeds 1 %, ductility begins to diminish substantially.
  • Rare earth metals e.g. Sc, Y, La, Ce. Rare earth metals prevent the precipitation of elements at the grain boundaries, which improves corrosion resistance. If the contents are less than 0.0005 %, the effects are insignificantly small. If the contents are more than 0.02 %, the mechanical properties and workability of the steel weaken decisively.
  • the ability ofthe elements in the steel to stabilize austenite can be depicted by the nickel equivalent N ⁇ , which is the left-hand side of the above equation.
  • the right-hand side depicts the ability of the elements to stabilize ferrite, this being termed the chromium equivalent and marked Cr ,, .
  • the phosphorus and sulphur contents must be less than 0.02 %.
  • the result according to the invention is a memory steel composition, which, in addition to iron, contains the following elements in the contents given (weight-%):
  • composition In order to improve certain properties, one or more of the following elements may be added to the composition:
  • Rare earth metals e.g. Sc, Y, La, Ce
  • the nitrogen alloying was observed, according to the invention, to substantially improve not only the shape memory properties of Fe-Mn-based memory steels, but also their mechanical properties, including damping properties.
  • Other advantages of memory and damping steels according to the invention are ease of manufacture, working and joining by welding. Because a weld also has shape memory properties, the areas of the joints do not form points of discontinuity in, for example, prestressed structures.
  • nitrogen improves corrosion resistance and high temperature oxidation resistance.
  • Other alloy components used in memory steel such as Mn and Cr
  • Alloy 18 also 1.2 Mo and 0.001 Ce; Alloys 26 - 28 also 0.001 P.
  • the yield and ultimate strengths and fracture strains are given in Table 2. The investigation of yield strength and fracture strains was carried out for several other steels.
  • the displacement rate in the testing machine fixture was 1 mm/min.
  • the measured length of the samples was 100 mm and the thicknesses 0.8 mm.
  • the nitrogen alloying was shown to increase the yield strength and ultimate strength of the steel, but it was not observed to reduce the fracture strain.
  • Figure 4 shows stress-strain plots for materials 25 and 27 (reference alloy). Material 25 clearly work-hardens more than material 27, and the greatest value for strain measured for the nitrogen alloyed material 25 was more than 50 % greater than for the reference material 27.
  • the test demonstrates that nitrogen alloying clearly improves precisely the mechanical properties of damping steel. The damping capacity was retained at quite a high level even in worked steel, up to a reduction of a few percent.
  • Shape memory properties were investigated on a materials testing machine using samples of 3 mm thick annealed wire, with a dimensional length of 30 mm. The samples were stretched by 5 mm and then heated above A, temperature (at this temperature, all martensite has changed into austenite). The recovery of the strain in relation to the original strain (preceding heating) was used as a criterion of the shape memory properties. Depending on how great this value was, three quality classes were set for this ratio (shape recovery rate).
  • Class 1 ratio greater than 70 %
  • Class 2 ratio 30 - 70 %
  • Class 3 ratio less than 30 %
  • the nitrogen-alloyed sample 4 also contained Cr and V-nitrides.
  • Figure 1 (a) shows the increase of stress during straining, e-martensite arises in deformation.
  • the stress level (strength) of the nitrogen-alloyed steel 4 is clearly greater than that of steel 2, which does not contain nitrogen.
  • the values for Fe-Mn-Si-based non-nitrogen steels given in the literature are clearly Iower than those of steel 4.
  • the maximum values for the recovery stress of steel 4 were about 300 MPa, while the value for the nitrogen-free steel 2 was only about 200 MPa.
  • the recovery stress values given in the literature for nitrogen-free Fe-Mn-Si-based memory steels are 150 - 200 MPa.
  • Nitrogen-alloying thus clearly increases recovery stress.
  • Recovery stress is a very important variable in shape memory steel applications (e.g. tighteners, fasteners and prestressed structures), often even more important than recoverable strain.
  • the recoverable strains of nitrogen-alloyed memory steels are 1.5 - 4 %.
  • Thermo- mechanical cycling i.e. the so-called training of memory steel, was observed to increase the recoverable strain and to generally move the formation of austenite to a Iower temperature in nitrogen-alloyed steels too.
  • thermo ⁇ mechanical cycling was repeated five times and the curves of the Figure were measured from the fifth cycle.
  • the ratio between recoverable strain and the original deformation also increased as a result of training. Its value was generally 0.6 - 1.
  • Complete recovery was observed with a strain of as much as 3 %, for example in steel number 22.
  • Nitrogen-alloyed steels according to the invention have good shape memory properties and mechanical properties, even at cryogenic temperatures. Recoverable strains of a few per cent were measured in tensile tests carried out at liquid nitrogen temperatures.
  • Nitrogen-alloyed shape memory steels were also observed to have a two-way shape memory phenomenon.
  • the recoverable strain in one and two-way shape memory effect is given in Figure 2.
  • the example steel is steel 5 of Table 1.
  • the sample When a sample deformed by a 6 % stretch is heated, the sample shortens by 3.5 %, which is the recoverable strain of a one-way shape memory effect.
  • the sample When the sample is cooled and heated after this to between -196° C - 750° C, a loop is obtained, which depicts a two-way memory phenomenon. In this steel, its magnitude is about 0.4 % after the third cycle.
  • the damping capacities of materials 25 and 27 are given in Figure 3 as functions of the amplitude of the vibration. At a small amplitude with a value of 0.00005, the damping capacity (logarithmic decrement) is about 0.02. As the vibration amplitude increases, the damping capacity of both materials increases, but the damping capacity of alloy 25 increases more rapidly and at an amplitude value of 0.0002 it is more than 50 % greater than that of alloy 27. The effect of nitrogen-alloying in improving damping capacity is obvious. A high damping capacity was shown to be retained over a broad range of temperatures. The damping values of steel 26 were between those of steels 25 and 27.
  • the damping capacity (logarithmic decrement) of steels according to the invention is typically 0.01 - 0.08 at small vibration amplitudes (relative deformation 10" 6 - 10 " 5 ). At greater amplitudes, (c. 10 4 ) the damping capacity is as much as 0.1.
  • Steel number 23 is an example of a steel, which combines excellent mechanical properties, corrosion resistance and memory properties (a deformation of 2.5 % is recovered completely), as well as a high damping capacity.
  • the corrosion resistance of the steels was evaluated metallographically after the samples had been in the atmosphere for one year.
  • the steels were divided into three classes, on the basis of the following criteria.
  • Class 3 The surface was entirely coated with corrosion products.
  • the samples were heated to 600° C in an air atmosphere and thereafter the same kind of evaluation as in Section 3 was carried out.
  • the steels were divided into three classes on the basis of the following criteria.
  • Class 3 The surface was entirely coated with corrosion products.
  • Nitrogen-alloyed memory steels according to the invention are the first shape memory materials whose properties and prices permit the extensive industrial application of shape memory materials. Nitrogen-alloyed memory steels are excellently applicable as materials for attachments (e.g. machine components, stones), tensioners (e.g. pipe connections) and various prestressed structures (e.g. concrete reinforcement steels).
  • attachments e.g. machine components, stones
  • tensioners e.g. pipe connections
  • various prestressed structures e.g. concrete reinforcement steels.
  • nitrogen-alloyed shape memory steels manufactured according to the invention have yet one more excellent property, i.e. the ability to exploit the formation of nitrides to reinforce the composition.
  • one procedure is that after cold-working the steel is aged by heating, e.g. to about 300 - 600°C. The aging causes nitrides to form and in this way the strength of the steel is further improved.
  • shape memory steel for example in the prestressing of concrete (or rather in prestressing that is carried out afterwards) provides construction design with quite new opportunities, because shape memory steel can be installed in the desired shape inside the mass.
  • the state of prestressing can be set suitably by heating the steel at a selected point, for example using induction heating or by an electric current led to the steel or other suitable manner.
  • the use of memory steel as a prestressing method also makes it possible to increase the stress by means of heating carried out later, if the martensite phase has been left in the steel during the first heating.
  • the properties and price of nitrogen alloyed steels according to the invention permit their wide industrial application. They can be used either as cast components, or as products that have been worked in various ways. They are suitable for use in large constructions too, because they can be joined by welding.
  • Steels according to the invention are also suitable for such applications, in which the material must absorb impact energy and shock waves (e.g. vehicles and military applications).
  • An additional advantage of material according to the invention compared to many other metallic damping materials is their high modulus of elasticity and high strength.
  • shape memory steels are excellently suitable for many attachment and tensioning applications. Pre-deformations can be carried out at room temperature, at which it is also possible to store the deformed components (compare Ni-Ti-cryofit connectors).
  • the moduli of elasticity of the steels are high (the moduli of elasticity of Cu and Ni-Ti-based memory metals, for example, are substantially smaller, which means that the greater part of the recoverable strain of these metals may be in elastic strain).
  • the advantages of steels according to the invention are great recovery forces and recoverable strain, high mechanical strength and ductility, good corrosion resistance and high temperature oxidation resistance, excellent steel working and machining properties.
  • the steels can be joined by welding.
  • the weld too, has been shown to have a shape memory property. This can also be exploited in applications. A practical demonstration was made by bending a butt weld and straightening it by heating. Further, steels according to the invention can be economically manufactured by conventional methods used in the steel industry.
  • Shape memory metals according to the invention have also an excellent ability to damp Shockwaves and impact energy, because the deformation of austenite steel to martensite consumes a great deal of energy. In many applications, the deformations may be very great, because the deformation mechanism is (up to a certain degree of deformation) the formation of martensite, instead of plastic deformation. Due to this, the limit of deformation of the material is very high. Applications of this include vehicle frame structures and certain military applications.
  • the prestressing of concrete carried out with the aid of shape memory steel was tested/demonstrated by manufacturing two reinforced steel beams (16 x 16 x 60 mm 3 ). Inside both beams there were four 1 mm-thick longitudinal shape memory steel reinforcements according to the invention, which were spaced at 10 mm from one another. Ties were placed round the reinforcements at intervals of about 7 mm. Separate pre-deformation was not carried out on the memory steel wires, instead normal cold-drawing of the wire to a thickness of 1 mm served as pre- deformation. The wires placed inside one of the beams were heated to a temperature of 250°C, at which most of the martensite that had arisen in the deformation changed to austenite and the wires simultaneously shortened.
  • the wires placed inside the other beam were not heated. Both steel pillars were placed inside a form and the form was filled with concrete.
  • the concrete was composed of normal Portland cement and sand, which was sieved through a 1.5 mm sieve. After casting, the concrete mass was vibrated to reduce voids.
  • the concrete beams had hardened for 6 weeks, they were heated to 250°C. A compressive stress then arose in the beam, the reinforcement wires of which had not been previously heated, as a consequence of the steel wires trying to shorten as the martensite changed to austenite.
  • both beams were bent, the prestressed beam broke under a greater load. This demonstrates that prestressing, carried out with the aid of shape memory steel, works.
  • connection of pipe connections/machine components to an axle can be carried out using shape memory steel according to the invention.
  • Machine components e.g. flywheels and parts of electric motors
  • the tolerance required is achieved by either heating the machine component or by cooling the axle with e.g. liquid nitrogen.
  • the shape memory effect can also be exploited in attachment.
  • the changes in dimension achieved with memory steels are much greater than those caused by thermal expansion.
  • Attachment can take place by means of e.g a sleeve made from shape memory steel. The sleeve can be pre-deformed by drawing the sleeve in the direction ofthe axle.
  • the sleeve When the sleeve is placed between the axle and the machine component and heating is carried out to the austenite range, the sleeve tries to return to its pre-drawing form. The thickness of its wall increases and simultaneously it tightens the machine component onto the axle. If the sleeve is made from two-way shape memory steel, the removal of the machine component takes place by cooling to a temperature that has been selected, with the aid of the alloying ofthe memory steel and thermomechanical treatment, so much Iower than the operating temperature of the machine, that unintentional detachment cannot take place.
  • a pipe connection made from memory steel is a sleeve, the inner diameter of which is smaller than the outer diameter of the pipe.
  • the inner diameter of the sleeve is enlarged to be greater than the diameter of the pipe by deforming the sleeve, e.g. by means of a mandrel.
  • the enlarged sleeve is placed over a butt joint between two pipes. The sleeve tightens the pipes together when it is heated to the austenite range.
  • a separate attachment component made from memory steel is not always required, because in many instances the product itself can be made from memory steel.
  • construction applications demanding high resistance to fatigue can also utilize the invention. Because nitrogen-alloyed shape memory steels are strong, and they have so-called super-elastic properties, they easily withstand fatigue loadings at even high loading amplitudes. When steel is stressed, the deformation mechanism is (up to a certain limit) twinning and not slipping. This mechanism is recoverable and material fatigue is then very small. Because steels according to the invention are, in addition, cheap and easily worked and easily welded together, they are highly suitable as construction materials for large steel structures and machines in which they are subject to great fatigue loadings.
EP96922913A 1995-07-11 1996-07-11 Stickstoff enthaltende memory und vibrationsdämpfende legierungen Ceased EP0846189A1 (de)

Applications Claiming Priority (7)

Application Number Priority Date Filing Date Title
FI953393A FI953393A0 (fi) 1995-07-11 1995-07-11 Kvaevelegerade minnismetaller
FI953393 1995-07-11
FI960866A FI960866A (fi) 1995-07-11 1996-02-26 Muistimetalleja
FI960866 1996-02-26
FI961922 1996-05-07
FI961922A FI961922A0 (fi) 1996-05-07 1996-05-07 Daempningsstaol
PCT/FI1996/000408 WO1997003215A1 (en) 1995-07-11 1996-07-11 Iron-based shape memory and vibration damping alloys containing nitrogen

Publications (1)

Publication Number Publication Date
EP0846189A1 true EP0846189A1 (de) 1998-06-10

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EP96922913A Ceased EP0846189A1 (de) 1995-07-11 1996-07-11 Stickstoff enthaltende memory und vibrationsdämpfende legierungen

Country Status (6)

Country Link
EP (1) EP0846189A1 (de)
JP (1) JP2000501778A (de)
AU (1) AU6361396A (de)
CA (1) CA2225679A1 (de)
RU (1) RU2169786C2 (de)
WO (1) WO1997003215A1 (de)

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