- Entirely new and extensive treatment of diffusionless martensitic 
transformations covering athermal and thermally activated martensite in 
ferrous systems as well as shape memory, superelasticity and rubber-like 
behavior in ordered nonferrous alloys

David Porter studied materials science in Cambridge obtaining his Ph.D. in 
1976. He subsequently moved to the University of Luleå, where he applied 
electron microscopy to materials research and taught courses on electron 
microscopy and phase transformations. He subsequently worked in the 
research and development departments of the Norwegian aluminum company 
Årdal og Sunndal Verk and the steel producers Rautaruukki in Finland, and 
Fundia Special Bar in Sweden. In 2011 he returned to academia as professor 
of physical metallurgy at the University of Oulu where he has been 
professor emeritus since 2019.
phase transformation in metals and alloys porter pdf free

*DOWNLOAD* https://urluss.com/2wIceD


The results should be regarded as an initial prediction of the phases and 
transition temperatures. This is due to the fact that the Ta-Cu binary, the 
Ta-Nb-Cu ternary and the Ti-Ta-Cu ternary systems have not been 
thermodynamically assessed and thus are lacking in the SSOL5 database. 
Nevertheless, the predictions given by the calculations are useful as a 
starting point for alloy development and to guide the experimental work. 
The Ti-1.7 wt.% Nb-10.1 wt.% Ta-1.6 wt.% Zr (TNTZ) has been modelled 
previously [11] and gave only α and β phases. The equilibrium phases as a 
function of temperature were modelled for this alloy with increasing Cu 
additions (0 wt.% Cu, 1 wt.% Cu, 3 wt.% Cu, 5 wt.% Cu and 10 wt.% Cu). In 
Figure 1a,b the phase fractions in the alloys with 1 wt.% Cu and 5 wt.% Cu 
addition are shown. Given the prerequisites mentioned, the Ti2Cu forms at 
656 C in the 1 wt.% Cu alloy (Figure 1a) in thermodynamic equilibrium; 
However, since the mole fraction is very low it is not likely to nucleate 
due to kinetic reasons. Nevertheless, when the phase fraction of Ti2Cu 
increases with Cu addition, already at 3 wt.% Cu and here at 5 wt.% Cu 
(Figure 1b), the phase fraction is considerable. The modelling resulted in 
the phase transition temperatures given in Table 1, where transus in this 
case, is the temperature above which the phase is no longer stable.

Mole fraction of phases as a function of temperature for (*a*) the 
Ti-Nb-Ta-Zr-1 wt.% Cu alloy and (*b*) the Ti-Nb-Ta-Zr-5 wt.% Cu alloy. 
Composition of the alloys can be found in Table 3.

The thermodynamic prediction of phases for the alloys is given in Figure 
1a,b as a function of temperature, and predicted HCP-Ti (α) and BCC-Ti (β), 
and additionally Ti2Cu for Cu additions of 1% and higher. At the heat 
treatment temperature of 747 C, the calculated mol% of the phases is given 
in Table 5, where the 10 wt.% Cu alloy was predicted to have no α-Ti phase 
present, while alloys below 5 wt.% Cu were predicted to have no Ti2Cu phase 
present.

The 3 wt.% Cu alloy had a microstructure similar to the lower Cu content 
alloys with thin lathes, but by using backscattered electron imaging, 
smaller precipitates were discovered at the GBs of the larger α-Ti grains 
(Figure 3e). These areas were studied further by preparation of focused ion 
beam (FIB) lamella, STEM-EDS and transmission Kikuchi diffraction (TKD). 
Regions of Cu-rich precipitates were observed, with adjacent crystals 
containing Ti and Ta (Figure 4a). The grains with the brightest contrast, 
which probably was β-Ti considering the heat treatment temperature, were 
also slightly coarser grained in the 3 wt.% Cu alloy compared to those with 
lower Cu content. The phases were assigned as a matrix phase of α-Ti, Ti2Cu 
and a bright phase, where the bright phase could not be assigned to a known 
crystal phase using TKD (Figure 5). The 5 wt.% Cu alloy had a 
microstructure of irregular lathes compared to those with lower Cu content 
(Figure 3). The lathes that formed were not straight-line structures as in 
the 3 wt.% Cu, but instead lathes disrupted by Cu-rich globules, formed 
along the length of the bright β-phase.

Comparison of the predicted β-transus temperatures to the experimentally 
observed values, revealed discrepancies in the data at 829 C, 751 C, 746 C 
and 744 C for the 1, 3, 5 and 10 wt.% Cu alloys, respectively. The 
measurements were in good agreement with the calculated values of 746 C and 
753 C, for the 10 wt.% Cu and 5 wt.% Cu alloys. However, the discrepancy 
between the calculated and measured values increased as the Cu content 
decreased. The reason for the discrepancies could be the absence of the 
Ti-Ta-Cu system in the database. An additional cause for variance in the 
discrepancies could be due to the reduction in the effective Cu content, 
since Cu is bonded in the intermetallic (Ti2Cu) phase, which was identified 
by diffraction for the 5 and 10 wt.% Cu alloys. A further reason could be 
that the β-stabilizers of Ta and Nb are soluble in the intermetallic 
phases, in addition to Cu. It is also uncertain whether the metastable 
Ti3Cu [24] is present for the lower Cu compositions, thus further research 
is required.

The 0 wt.% Cu TNTZ was heat treated at 747 C, and predicted to have a 
microstructure consisting of α (76.4%) and β (23.6%), with a hardness of 
135 3 Hv. In a previous study [11] the alloy was found to be a α (50%) and 
β (50%) alloy with hardness of 340 HVN. The differences found were probably 
due to various forging treatments of the alloy in the previous study [11]. 
The addition of 1 wt.% Cu did not cause a third phase to precipitate, 
presumably due to the fact that the Ti2Cu phase only forms at temperatures 
lower than 747 C (Figure 1a). Therefore the 0 wt.% Cu and 1 wt.% Cu alloys 
are confirmed as two-phased materials via diffraction (Figure 2) and 
microscopy studies (Figure 3).

The applications of the chromium ferritic stainless steel AISI 410S have 
been considerably increased in the last years in many technical fields as 
chemical industries and oil or gas transportation. However, the phase 
transformation temperatures are, currently, unknown for this alloy. The aim 
of this work is to determine the alpha to gamma transformation temperatures 
of the AISI 410S alloy in different cooling conditions and to analyze them 
using continuous cooling theory. In order to achieve different cooling 
rates and thermal conditions, two complementary techniques were used: 
Bridgman furnace crystal growth and laser remelting technique. The measured 
solidification temperature was around 1730 and 1750 K. Plate-like and 
dendritic austenite precipitates were obtained in solid-state phase using 
growth rates between 5 and 10 µm/s in directional growth experiments. Only 
plate-like austenite phase was observed in the experiments using growth 
rates above 100 µm/s. The appearance of dendrites, with the consequent 
segregation of the elements, can be previously determined by the 
microstructure modeling currently proposed. Massive austenite can be 
produced from 0.3 to 10 mm/s rates at temperatures between 1100-1300 K. The 
structure might be less sensitive to corrosion because this phase is 
produced without microsegregation.

The applications of chromium ferritic stainless steels have been 
considerably increased in the last years in many technical fields as 
chemical industries and oil or gas transportation. Thanks to the 
combination of its high-corrosion resistance and good mechanical 
properties1, these alloys can be found in different environments as cargo 
ships and external architectural facades. Currently, the industries reduce 
the use of strategic and costly metals, such as Ni, and prefer metals which 
maintain the corrosion and mechanical properties near to that of austenitic 
grade stainless steels. For this, the AISI 410S (European grade 1.4003) 
with 10.5-12.5% Cr and less than 1% Ni was developed2,3.

Although, the final microstructure is known to be composed by variable 
amounts of ferrite and martensite, still the 410S duplex microstructure is 
not well understood. Especially, the effect of cooling rate on the 
formation of the austenite phase and the microsegregation pattern linked to 
the ferrite-austenite transformation are even unclear4. It is known that 
AISI new requirements of the petroleum refining industry5-8 need further 
research about the microstructure evolution during solidification and 
solid-state transformations of these steels.

Most of the phase transformation studies in ferritic/austenitic 
steels9-111, were based on isothermal treatments. This method usually 
requires a large number of specimens for a complete description of 
reactions. On the other hand, crystal growth techniques like Bridgman12 can 
offer a very controlled way to verify the influence of processing 
conditions on the kinetics of phase transformations in a single sample. In 
this case, the growth is imposed by the continuous displacement of 
isotherms (isovelocity) when the sample is displaced on the vertical axis 
from the equipment furnace to a quenching medium. Thus, the transformation 
interface is constrained to assume a given growth morphology and 
temperature. Phase growth studies using directional solidification have 
been carried out by a number of authors, like Trivedi et al. for the Al-Cu 
system13, Lima and Kurz14 for the Fe-Cr and Fe-Ni systems and Jacot et 
al.15 for Fe-Co alloys.
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