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The satellite LARES 2 is designed to test dragging of inertial frames, or frame-dragging, predicted by Einstein's theory of General Relativity, with accuracy of a few parts in a thousand. For this purpose, besides the typical requirements for a space construction, a high density alloy must be used. In this paper are reported the studies performed on a nickel alloy, the Haynes 242, that is considered a possible candidate for manufacturing all the metallic parts of LARES 2 and other passive geodetic satellites. Haynes 242 density and mechanical properties are compliant with the requirements of the mission. Three different casting with the nominal composition of the alloy have been prepared and tested along with a commercial bar of Haynes 242. The results of tensile and hardness tests on several specimens with different aging time are reported, along with the relevant metallographic analysis. Furthermore, a test on the machinability, performed on a screw, which is the most demanding item from the manufacturing point of view, is reported.
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D. Pilone et alii, Frattura ed Integrità Strutturale, 56 (2021) 56-64;
DOI: 10.3221/IGF-ESIS.56.04
56
Haynes 242 Alloy for LARES 2 Satellite
D. Pilone, A. Brotzu, F. Felli
DICMA, Sapienza Università di Roma, Via Eudossiana 18, 00184 Roma, Italy
daniela.pilone@uniroma1.it, andrea.brotzu@uniroma1.it, ferdinando.felli@uniroma1.it
I. Ciufolini
Dipartimento di Ingegneria dell’Innovazione, Università del Salento, Via per Monteroni, 73100 Lecce, Italy
ignazio.ciufolini@gmail.com
B. Negri
Agenzia Spaziale Italiana, Italy
barbara.negri@asi.it
C. Paris
Centro Ricerche Enrico Fermi, Via Panisperna 89/A, 00184 Roma, Italy
claudio.paris@cref.it
A
BSTRACT
. The satellite LARES 2 is designed to test dragging of inertial
frames, or frame-dragging, predicted by Einstein’s theory of General
Relativity, with accuracy of a few parts in a thousand. For this purpose, besides
the typical requirements for a space construction, a high density alloy must be
used. In this paper are reported the studies performed on a nickel alloy, the
Haynes 242, that is considered a possible candidate for manufacturing all the
metallic parts of LARES 2 and other passive geodetic satellites. Haynes 242
density and mechanical properties are compliant with the requirements of the
mission. Three different casting with the nominal composition of the alloy
have been prepared and tested along with a commercial bar of Haynes 242.
The results of tensile and hardness tests on several specimens with different
aging time are reported, along with the relevant metallographic analysis.
Furthermore, a test on the machinability, performed on a screw, which is the
most demanding item from the manufacturing point of view, is reported.
K
EYWORDS
. Haynes 242; LARES 2; Mechanical properties; passive satellite.
Citation: Pilone, D., Brotsu, A., Felli, F.,
Ciufolini, I., Negri. B., Paris, C., Haynes 242
Alloy for Lares 2 Satellite, Frattura ed Integrità
Strutturale, 56 (2021) 56-64.
Received: 08.01.2021
Accepted: 07.02.2021
Published: 01.04.2021
Copyright: © 2021 This is an open access
article under the terms of the CC-BY 4.0,
which permits unrestricted use, distribution,
and reproduction in any medium, provided
the original author and source are credited.
I
NTRODUCTION
ARES 2 is a satellite of the Italian Space Agency (ASI), designed to test the dragging of inertial frames [1], or frame-
dragging, an intriguing phenomenon predicted by Einstein’s theory of General Relativity, with accuracy of a few
parts in a thousand [2]. Frame-dragging has important implications in high energy astrophysics, the physics of black
L
D. Pilone et alii, Frattura ed Integrità Strutturale, 56 (2021) 56-64; DOI: 10.3221/IGF-ESIS.56.04
57
holes and gravitational waves detection. The satellite will also contribute to space geodesy and global climate monitoring
similarly to what has been done with LARES satellite [3]. The main body of the satellite is made of one single piece of bulk
metal. This type of design has been experimented the first time with LARES satellite [4]. The single piece design was chosen
to reduce thermal gradients on the satellite and consequently the thermal thrust, a small but not negligible perturbation [5].
The satellite is completely passive, and it behaves as a test particle in the gravitational field of the Earth. It is covered with
Cube Corner Reflectors (CCRs) that reflect the laser pulses sent from the network of ground stations of the International
Laser Ranging Service (ILRS). The CCRs used for LARES 2 are smaller than the ones used for LARES and are Commercial
Off The Shelf (COTS). By reconstructing its orbit with the laser ranging technique [6] it is possible to reach accuracies at
the centimeter level or less. The LARES 2 mission has been designed aiming to an accuracy of one order of magnitude
better than the one of LARES satellite. This goal can be achieved because of the special design of the satellite, its orbit, that
must be supplementary to the one of the LAGEOS satellite, and the use of an updated gravitational field of Earth from
GRACE and GRACE Follow-On missions [7-9]. The launch of LARES 2 is scheduled for 2021 with the qualification
launch of VEGA C, an enhanced version of the VEGA launcher of the European Space Agency (ESA), and manufactured
by an Avio-ASI joint venture. The main requirements for the structural material of the satellite are:
Physical: density of about 9000 kg/m3, low sensitivity to heating by irradiation, non-magnetic properties, high thermal
conductivity.
Technological: good castability, good workability.
Mechanical: hardness higher than 28 HRC (285 HV), yield strength higher than 517 MPa and elastic modulus greater
than 200 GPa.
The first requirement is a compromise between the radius of the satellite, that cannot be smaller than 0.2 m, and the need
to have the smallest surface-to-mass ratio. In fact, a radius smaller than 0.2 m would have not allowed to accommodate the
303 CCRs which have been considered an acceptable threshold for the strength of the reflected signal from the satellite.
The non-gravitational perturbations are proportional to the surface-to-mass ratio, that therefore must be minimized. The
non-gravitational perturbations cannot be modeled with the required accuracy and degrade the accuracy of the frame-
dragging measurement. The second requirement is related to the manufacturing of the satellite. The third requirement
concerns the contact between the four hemispherical heads of the arms of the separation system and the corresponding
four hemispherical cavities manufactured at the equator of the satellite. In Fig. 1 two hemispherical cavities are indicated
with the arrows while the darker cavity is manufactured to allow handling and transportation of the satellite.
Figure 1: Rendered image of LARES 2 satellite and sketch of preliminary separation system [10].
The second and third requirements are induced by the pressure of the separation system on the satellite that is defined as a
pre-load. This one is required to maintain the satellite in place during all the launch phases [11].
Based on these requirements, some copper and nickel-based alloys have been developed and analyzed. These alloys meet
the above-mentioned physical requirements, but they have advantages and disadvantages.
D. Pilone et alii, Frattura ed Integrità Strutturale, 56 (2021) 56-64; DOI: 10.3221/IGF-ESIS.56.04
58
The copper-based alloys better meet the physical and the technological requirements but hardly reach the limit of the
required mechanical properties; moreover, they change surface color due to oxidation during exposure to the air. The nickel-
based alloys are more difficult to produce, have lower thermal conductivity, are more expensive but with significantly higher
mechanical properties.
Different alloys of various compositions [12-14] have been produced and studied by analyzing microstructures, heat
treatments, mechanical characteristics and workability. Important preliminary indications were obtained for a final choice
of the alloy for the satellite, also bearing in mind all the problems related to the certifications required for new alloys to be
used for a satellite to be launched with a rocket [15,16].
The construction of the satellite involves the production of a spherical component of about 0.40 m in diameter. It is
therefore necessary to evaluate the possible technologies that can be used (casting, forging, sintering, etc.). In particular, it
is important to study which technology can be usefully applied to the different candidate alloys.
Among the alloys having mechanical properties close to the requirements the HAYNES® 242 ™ alloy is one of the most
interesting [17-22]. This alloy was originally developed for applications in gas turbines. It is an alloy with very low thermal
expansion and high resistance, even at high temperatures. It maintains good mechanical performances up to 760 °C. The
traditional heat treatment of the alloy leads to the formation of Ni2 (Mo, Cr) precipitates having a size of about 10 nm. Due
to the formation of a large volumetric fraction of this phase, a great increase in the mechanical strength of the alloy is
obtained.
Literature data suggest that the standard thermal treatment is aging at 650 °C for 24 h.
A study was therefore carried out producing some demonstrative castings. Forging tests, machinability tests and mechanical
tests were carried out on these castings to evaluate their potential, their characteristics and to verify whether they could be
usefully used for the satellite production. Samples of commercial Haynes 242 alloy were also tested for comparison.
EXPERIMENTAL
or the production of the specimens a Vacuum Induction Melting Furnace (VIM) was used. The first casting was
produced by melting the alloy under vacuum and by casting the molten metal in a metallic mold. The second casting
made under vacuum was poured into a ceramic mold and was characterized by the presence of big shrinkage cavities.
For that reason, the metallic mold was preferred in this experimental work. The third casting was obtained by casting the
molten metal, after fusion in air, in a metallic mold. The production of the castings under vacuum is divided into two phases.
First, nickel was inserted into the crucible and molten inside the furnace at about 1455 °C. After about 7 minutes, a
temperature of 1480 °C was reached and the alloying elements were added: molybdenum, chromium, silicon, manganese
and aluminum. About 10 minutes were required to obtain the complete fusion of all elements. When the temperature
reached 1420 °C the alloy was cast. The production of the casting in air required the same procedure.
In addition to the three ingots described above, a commercial hot rolled bar was purchased from Haynes International. The
solubilization treatment conducted on the specimens produced from the three ingots and the rolled bar, as well as on the
forged material, that will be discussed below, is the standard treatment [17,20]. The solubilization treatment was carried out
at 1100 °C for 1 hour and the subsequent cooling was carried out in air. The aging of the specimens was performed at 650
°C for 24 h, 48 h, 120 h and 144 h. The specimens were subjected to metallographic characterization and to mechanical
tests to observe the variations induced by the heat treatment. Metallographic analyses were performed after electrochemical
etching carried out at 6 V by using a solution of 1 g of oxalic acid in 20 ml of hydrochloric acid. Some specimens were
produced from the ingot poured under vacuum, cast in a ceramic mold and subjected to hot forging. Forging was performed
after bringing the casting to a temperature of 1150 ° C for 2h: the obtained deformation was about 15%.
Tensile tests were carried out for determining tensile strength, yield stress and elongation. Tensile test specimens were cut
from the three ingots, the commercial bar and the forged material described above; they were 8 mm large, 3 mm thick and
they had a gauge length of 30 mm. Machinability tests have been carried out by producing screws.
RESULTS AND DISCUSSION
he compositional characterization of the samples by means of SEM-EDS allowed the determination of the
composition of the specimens produced.
Tests were carried out on various samples taken from the three produced castings (Tab. 1). The alloy density was
measured by using several specimens and the resulting mean value was 9,1 g/cm3.
F
T
D. Pilone et alii, Frattura ed Integrità Strutturale, 56 (2021) 56-64;
DOI: 10.3221/IGF-ESIS.56.04
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The electrochemical etching revealed the dendritic structure of the alloy (Fig 1). Optical images in Fig. 2 highlights the
presence of fine precipitates in the interdendritic areas. These precipitates are Ni
2
Mo e Ni
2
Cr. Samples subjected to forging
and aging have been also analyzed to identify their microstructure. As it can be seen in Fig. 3 the dendritic structure
disappeared and a fine microstructure formed.
Ni Mo Cr Fe Co Si Al
Nom. Comp. Bal. 25 8 2 max 1 max 0.8 max 0.5 max
Casting 1 64.75 26.63 7.75 0.46 0 0.27 0.15
Casting 2 65.39 26.15 8.05 0.38 0 0 0
Casting 3 65.1 25.9 8 0.5 0.12 0 0
Table 1: Mean composition of the 3 castings. Casting 1 was cast in vacuum in a metallic mould. Casting 2 was cast in vacuum in a
ceramic mould. Casting 3 was cast in air in a metallic mould.
Figure 2: Optical micrographs showing the alloy microstructure in the as-cast condition (a) and after solubilization (b).
Figure 3: Optical image showing the alloy microstructure after forging and aging at 650 °C for 24 h.
Considering that the mechanical properties of these alloys can be increased by performing aging treatment, aging tests have
been performed on the as-cast, on the forged and on the commercial alloys. Fig. 4 shows the obtained results. In all the
considered cases the mechanical properties increase is due to the precipitation of fine and dispersed particles of Ni
2
Mo e
Ni
2
Cr.
(a) (b)
D. Pilone et alii, Frattura ed Integrità Strutturale, 56 (2021) 56-64; DOI: 10.3221/IGF-ESIS.56.04
60
The results show that in the solubilized state the commercial alloy has a slightly higher hardness. By performing aging
treatment at 650 °C the as-cast alloy increases its hardness, reaches a maximum after 48 h and then there is an overaging
phenomenon. The forged alloy behavior is characterized by a hardness increase with time and it reaches 387 HV10 after
120 h. This is probably due to the formation of fine grains that allows a more dispersed precipitate distribution. The
commercial alloy shows a hardness that is slightly higher in comparison with the others; this may be ascribable to a structure
that is more homogeneous in comparison with that of the as-cast material.
Figure 4: Aging curves showing the hardness of the as-cast, forged and commercial alloys as a function of aging time.
Vickers
Hardness
(HV10)
Rockwell
Hardness
(HRC)
Yield Stress
(MPa)
Ultimate tensile
strength (MPa) Elongation (%)
Cast under
vacuum
As-Cast 270 26 340 522 26
Solubilized 228 20 320 625 46
Aged 24h 308 32 450 596 16
Aged 48h 360 38 490 630 12
Aged 120h 336 35 532 855 25
Forged
Solubilized 232 21 345 638 31
Aged 24h 350 37 580 907 22
Aged 48h 360 38 570 761 11
Aged 144h 387 40 641 913 16
Commercial
Alloy
Aged 24h 309 32 720 1190 33
Aged 48h 383 40 747 1210 31
Cast in air
Aged 24h 297 30 520 593 10
Aged 120h 336 35 610 704 11
Table 2: Mechanical properties of the tested specimens.
D. Pilone et alii, Frattura ed Integrità Strutturale, 56 (2021) 56-64;
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The results of the tensile tests are summarized in Tab. 2 for various castings both in the as-cast and in the forged state after
heat treatment. The results obtained for the commercial alloy are also reported for comparison. For all the castings, even in
the forged state, the obtained mechanical properties are lower than the ones characterizing the commercial alloy, but they
abundantly meet the design requirements. As far as the differences with the commercial alloy are concerned, we can make
the following considerations. The commercial alloy has been forged and drawn in the form of a bar, undergoing significant
plastic deformations, while for the satellite we need to produce a sphere. It is being assessed whether to produce it by casting
or by casting and forging, but with low deformations. Our study considered different types of castings whose properties
meet the physical and mechanical requirements. It is apparent that forging treatment with a 15% reduction improves the
mechanical properties of the alloy and that casting mechanical behavior is affected by the presence of microshrinkage cavities
that decrease strength and toughness of the alloy as well as its density. By examining the behavior of the samples, we can
observe that as the aging time increases, the mechanical strength increases and the ductility decreases and then increases
again after 120 hours treatment. The alloy cast in air is generally less ductile.
Some significant σ-ε curves characterizing the forged alloy (Fig. 5) are reported and compared with the one of the
commercial alloy (Fig. 6). For all the tested specimens the plastic behavior is tendentially linear with a work hardening
exponent of about 0.24.
Figure 5: Stress-strain curves of the forged Haynes 242 alloy after solubilization and heat treatment.
Figure 6: Stress-strain curve of the commercial Haynes 242 alloy aged for 48 h.
D. Pilone et alii, Frattura ed Integrità Strutturale, 56 (2021) 56-64;
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Figure 7:SEM micrograph showing the surface morphology of Haynes 242 aged at 650 °C for 24 h.
Figure 8:
SEM micrograph showing the surface morphology of Haynes 242 aged at 650 °C for 120 h.
After carrying out several tensile tests, observations of the fracture surfaces were performed by means of SEM. The
observations were carried out on specimens aged for 24h and 120h.
SEM micrographs of the sample aged for 24h reveal at low magnifications that it is a ductile fracture (Fig. 7), while at higher
magnifications the coexistence of areas with dimples, typical of ductile fractures, and areas of cleavage fracture is apparent.
D. Pilone et alii, Frattura ed Integrità Strutturale, 56 (2021) 56-64;
DOI: 10.3221/IGF-ESIS.56.04
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SEM micrographs of the alloy aged for 120 h (Fig. 8) highlight that, although the fracture appears prevalently ductile, the
fracture morphology is a mixed mode fracture due to the presence of small areas characterized by a brittle behavior.
After carrying out the mechanical tests, it was also necessary to evaluate the machinability of this alloy. This occurred through
the production of screws. SEM analyses allowed to inspect the screw surface in order to evaluate any presence of superficial
defects. SEM analyses showed that the alloy has a very good machinability even after aging. In fact, no defects are observable
on the surface of the screws (Fig. 9).
Figure 9: SEM micrograph showing the surface of a screw produced with Haynes 242 alloy aged for 24 h.
C
ONCLUSIONS
n this work Haynes 242 alloy has been considered as a possible candidate for the production of LARES 2 and similar
satellites that may be launched in the future. Three different castings with the nominal composition of Haynes 242
have been produced and tested along with a commercial bar of Haynes 242. The results highlighted that the best
results in terms of mechanical behavior were the ones relative to the commercial alloy that has been subjected to hot
rolling. This thermomechanical treatment is not applicable to the satellite constituted by a metallic sphere, but it has been
considered to substitute hot rolling with forging that will produce similar improvements to the mechanical characteristics.
So on the ground of the obtained results the best process solution is casting, followed by forging that allows to optimize
the alloy mechanical properties. However, the results show that even in absence of forging the aging is sufficient to fulfil
the mechanical requirements. Haynes 242, although considered the optimal solution, and in fact was considered the
baseline for the project, could not be selected because the procuring time was not compatible with the launch date of
LARES 2.
A
CKNOWLEDGMENT
he authors acknowledge the Italian Space Agency (ASI) for supporting the LARES and LARES 2 missions under
agreements n. 2020-7-HH.0 and n. 2017-23-H.0.
I
T
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LARES is an Italian Space Agency mission designed to test General Relativity in the weak field of Earth. In particular, the satellite will be able to measure frame-dragging with an accuracy of about 1%. The difficulty of the measurement is mainly due to the perturbations acting on the satellite and the relatively tiny size of the effect, amounting to about 118 milliarcseconds/year. LARES will also provide data to geodesists and it will contribute to GNSS by improving the origin definition of the International Terrestrial Reference Frame. The mission was designed and the satellite subsystems built and tested in less than four years. The short time to launch and the very limited budget of the LARES mission, raised doubts whether LARES could be, as expected by design, one of the best satellite laser ranging targets. The best way to confirm the success of the mission is to look at the range residuals from the primary stations of the International Laser Ranging Service (ILRS). In the paper it will be shown that from the majority of these stations LARES behaves as the best target.
Article
LARES 2 is an Italian Space Agency (ASI) satellite designed for testing with unprecedented accuracy frame-dragging, a fundamental prediction of general relativity, for other tests of fundamental physics and to contribute to space geodesy with a precision higher than any other satellite presently in orbit. The choice of the material for the body of LARES 2 satellite determines, along with its dimensions, the surface-to-mass ratio minimization, which is the main requirement for the satellite. The paper will report the studies conducted for the fulfillment of the above-mentioned requirement and the tests performed to qualify the materials for construction of the satellite.
Article
The Gravity Recovery and Climate Experiment Follow-On mission was conceived to continue the successful legacy of the recently decommissioned Gravity Recovery and Climate Experiment mission and, at the same time, serve as a platform to demonstrate the first-ever in-space intersatellite laser ranging interferometer as a technology pathfinder for future gravity mapping missions. Launched in May of 2018, the Gravity Recovery and Climate Experiment Follow-On observatory builds on the design of the original Gravity Recovery and Climate Experiment satellites, but incorporates a number of improvements based on lessons learned, and features significantly increased complexity due to the accommodation of the laser ranging interferometer. This paper provides an overview of the challenging requirements levied on the observatory, and the mission and spacecraft design necessary to meet them. As the original Gravity Recovery and Climate Experiment spacecraft design has not been, to date, broadly discussed in the engineering literature, this paper further highlights original design rationales, where still applicable. As future satellite-based geodesy missions with similar constraints and challenges emerge, the implementation of the Gravity Recovery and Climate Experiment Follow-On observatory described herein can serve as a pathfinder and guide for the successful realization of these endeavors.
Conference Paper
Satellite Laser Ranging (SLR) makes an important contribution to Earth science providing the most accurate measurement of the long-wavelength components of Earth’s gravity field, including their temporal variations. Furthermore, SLR data along with those from the other three geometric space techniques, Very Long Baseline Interferometry (VLBI), Global Navigation Satellite Systems (GNSS) and DORIS, generate and maintain the International Terrestrial Reference Frame (ITRF) that is used as a reference by all Earth Observing systems and beyond. As a result we obtain accurate station positions and linear velocities, a manifestation of tectonic plate movements important in earthquake studies and in geophysics in general. The “geodetic” satellites used in SLR are passive spheres characterized by very high density, with little else than gravity perturbing their orbits. As a result they define a very stable reference frame, defining primarily and uniquely the origin of the ITRF, and in equal shares, its scale. The ITRF is indeed used as “the” standard to which we can compare regional, GNSS-derived and alternate frames. The melting of global icecaps, ocean and atmospheric circulation, sea-level change, hydrological and internal Earth-mass redistribution are nowadays monitored using satellites. The observations and products of these missions are geolocated and referenced using the ITRF. This allows scientists to splice together records from various missions sometimes several years apart, to generate useful records for monitoring geophysical processes over several decades. The exchange of angular momentum between the atmosphere and solid Earth for example is measured and can be exploited for monitoring global change. LARES, an Italian Space Agency (ASI) satellite, is the latest geodetic satellite placed in orbit. Its main contribution is in the area of geodesy and the definition of the ITRF in particular and this presentation will discuss the improvements it will make in the aforementioned areas. Copyright © 2015 by ASME Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal
Chapter
After publishing its release 04 (RL04) time-series of monthly GRACE gravity field solutions starting end of 2006, GFZ has reprocessed this time-series based on numerous changes covering reprocessed instrument data, observation and background models as well as updated processing environment and standards. The resulting GFZ RL05 time-series features significant improvements of about a factor of two compared to its precursor. By analyzing 72 monthly solutions for the time span 2005 till 2010, a remarkable noise reduction and a noticeably higher spatial resolution become obvious. The error level has significantly decreased and is now only about a factor of six above the pre-launch simulated baseline accuracy. GFZ RL05 solutions are publically available at ISDC and PO.DAAC archives.