Martensite Crystallography - the apparent controversy between the infinitesimal deformation approach and the phenomenological theory of martensitic transformations

The aim of this article is to demonstrate that the apparent controversy between the infinitesimal deformation (ID) approach and the phenomenological theory of martensitic transformations (PTMTs) in predicting the crystallographic characteristics of a martensitic transformation is entirely based on unjustified approximations associated with the way in which the ID calculations are performed. When applied correctly, the ID approach is shown to be absolutely identical to the PTMT. Nevertheless, there may be some advantages in using the ID approach. In particular, it is somewhat simpler than the PTMT; it is based on a physical concept that is easier to understand and, most important, it may provide a tool for investigating some of the features of martensitic transformations that have eluded explanation via the PTMT.

State equation for shape-memory alloys. Aplication to Cu-Zn-Al

We deal with the hysteretic behavior of partial cycles in the two¿phase region associated with the martensitic transformation of shape¿memory alloys. We consider the problem from a thermodynamic point of view and adopt a local equilibrium formalism, based on the idea of thermoelastic balance, from which a formal writing follows a state equation for the material in terms of its temperature T, external applied stress ¿, and transformed volume fraction x. To describe the striking memory properties exhibited by partial transformation cycles, state variables (x,¿,T) corresponding to the current state of the system have to be supplemented with variables (x,¿,T) corresponding to points where the transformation control parameter (¿¿ and/or T) had reached a maximum or a minimum in the previous thermodynamic history of the system. We restrict our study to simple partial cycles resulting from a single maximum or minimum of the control parameter. Several common features displayed by such partial cycles and repeatedly observed in experiments lead to a set of analytic restrictions, listed explicitly in the paper, to be verified by the dissipative term of the state equation, responsible for hysteresis. Finally, using calorimetric data of thermally induced partial cycles through the martensitic transformation in a Cu¿Zn¿Al alloy, we have fitted a given functional form of the dissipative term consistent with the analytic restrictions mentioned above.

Design and construction of precision heat fluxmeters

The possibility of local elastic instabilities is considered in a first¿order structural phase transition, typically a thermoelastic martensitic transformation, with associated interfacial and volumic strain energy. They appear, for instance, as the result of shape change accommodation by simultaneous growth of different crystallographic variants. The treatment is phenomenological and deals with growth in both thermoelastic equilibrium and in nonequilibrium conditions produced by the elastic instability. Scaling of the transformed fraction curves against temperature is predicted only in the case of purely thermoelastic growth. The role of the transformation latent heat on the relaxation kinetics is also considered, and it is shown that it tends to increase the characteristic relaxation times as adiabatic conditions are approached, by keeping the system closer to a constant temperature. The analysis also reveals that the energy dissipated in the relaxation process has a double origin: release of elastic energy Wi and entropy production Si. The latter is shown to depend on both temperature rate and thermal conduction in the system.

Preisach modeling of hysteresis for a pseudoelastic Cu-Zn-Al single crystal

Stress-strain trajectories associated with pseudoelastic behavior of a Cu¿19.4 Zn¿13.1 Al (at.%) single crystal at room temperature have been determined experimentally. For a constant cross-head speed the trajectories and the associated hysteresis behavior are perfectly reproducible; the trajectories exhibit memory properties, dependent only on the values of return points, where transformation direction is reverted. An adapted version of the Preisach model for hysteresis has been implemented to predict the observed trajectories, using a set of experimental first¿order reversal curves as input data. Explicit formulas have been derived giving all trajectories in terms of this data set, with no adjustable parameters. Comparison between experimental and calculated trajectories shows a much better agreement for descending than for ascending paths, an indication of a dissymmetry between the dissipation mechanisms operative in forward and reverse directions of martensitic transformation.

Ferromagnetic shape memory alloys: structural and thermal properties

The most extensively studied Heusler alloys are those based on the Ni-Mn-Ga system. However, to overcome the high cost of Gallium and the usually low martensitic transformation temperature, the search for Ga-free alloys has been recently attempted, particularly, by introducing In, Sn or Sb. In this work, two alloys (Mn50Ni35.5In14.5 and Ni50Mn35In15) have been obtained by melt spinning. We outline their structural and thermal behaviour. Mn50Ni35.5In14.5 alloy has the transformation above room temperature whereas Ni50Mn35In15 does not have this transformation in the temperature range here analyzed

Influence of the Al content on the phase transformations in Cu-Al-Ag alloys

The influence of the Al content on the phase transformations in Cu-Al-Ag alloys was studied by classical differential thermal analysis (DTA), optical microscopy (OM) and X-ray diffractometry (XRD). The results indicated that the increase in the Al content and the presence of Ag decrease the rate of the b1 phase decomposition reaction and contribute for the raise of this transition temperature, thus decreasing the stability range of the perlitic phase resulted from the b1 decomposition reaction.

Zur Verbesserung des Ermüdungsverhaltens des austenitischen Stahls X5CrNi18-10 im Temperaturbereich 25-600°C durch mechanische Randschichtverfestigungsverfahren

Die technischen Oberflächen werden oft als Bauteilversagungsorte definiert. Deswegen ist eine optimale Ausnutzung der Werkstoffeigenschaften ohne mechanische Oberflächenbehandlungsverfahren nicht mehr wegzudenken. Mechanische Randschichtoptimierungsverfahren sind vergleichsweise einfach, Kosten sparend und hocheffektiv. Gerade das Festwalzen wird wegen seiner günstigen Auswirkungen wie die exzellente Oberflächengüte, die hohen Druckeigenspannungen sowie die hohe Oberflächenverfestigung zunehmend an Bedeutung gewinnen. Außerdem wird durch das Festwalzen in einigen Legierungen eine nanokristalline Oberflächenschicht gebildet. Diese brillanten Eigenschaften führen nach einer mechanischen Oberflächenbehandlung zur Erhöhung des Werkstoffwiderstandes unter anderem gegen Verschleiß, Spannungsrisskorrosion und insbesondere zur Steigerung der Schwingfestigkeit. Ein etabliertes Beispiel zur Steigerung der Schwingfestigkeit ist das Festwalzen von Achsen und Kurbelwellen. Auch solche komplexen Komponenten wie Turbinenschaufeln werden zur Schwingfestigkeitssteigerung laserschockverfestigt oder festgewalzt. Die Laserschockverfestigung ist ein relativ neues Verfahren auf dem Gebiet der mechanischen Oberflächenbehandlungen, das z.B. bereits in der Flugturbinenindustrie Anwendung fand und zur Schwingfestigkeitsverbesserung beiträgt. Das Verfahrensprinzip besteht darin, dass ein kurzer Laserimpuls auf die zu verfestigende, mit einer Opferschicht versehene Materialoberfläche fokussiert wird. Das Auftreffen des Laserimpulses auf der verwendeten Opferschicht erzeugt ein expandierendes Plasma, welches eine Schockwelle in randnahen Werkstoffbereichen erzeugt, die elastisch-plastische Verformungen bewirkt. Eine konsekutive Wärmebehandlung, Auslagerung nach dem Festwalzen, nutzt den statischen Reckalterungseffekt. Hierdurch werden die Mikrostrukturen stabilisiert. Die Änderung der Mikrostrukturen kann jedoch zu einer beträchtlichen Abnahme der mittels Festwalzen entstandenen Druckeigenspannungen und der Kaltverfestigungsrate führen. Das Festwalzen bei erhöhter Temperatur bietet eine weitere Möglichkeit die Schwingfestigkeit von metallischen Werkstoffen zu verbessern. Die Mikrostruktur wird durch den Effekt der dynamischen Reckalterung stabilisiert. Die Effekte beim Festwalzen bei erhöhten Temperaturen sind ähnlich dem Warmstrahlen. Das Festwalzen erzeugt Oberflächenschichten mit sehr stabilen Kaltverfestigungen und Druckeigenspannungen. Diese Strukturen haben viele Vorteile im Vergleich zu den durch rein mechanische Verfahren erzeugten Strukturen in Bezug auf die Schwingfestigkeit und die Stabilität der Eigenspannungen. Die Aufgabe der vorliegenden Dissertation war es, Verfahren zur Verbesserung der Schwingfestigkeit im Temperaturbereich zwischen Raumtemperatur und 600 °C zu erforschen. Begleitende mikrostrukturelle sowie röntgenographische Untersuchungen sollen zum Verständnis der Ursachen der Verbesserung beitragen. Für diese Arbeit wurde der in der Praxis häufig verwendete Modellwerkstoff X5CrNi18-10 ausgewählt. Als Randschichtverfestigungsverfahren wurden das Festwalzen, eine Kombination der mechanischen und thermischen, thermomechanischen Verfahren auf der Basis des Festwalzens und eine Laserschockverfestigung verwendet.

Comportamento plástico do aço inoxidável austenítico em baixa temperatura

Ensaios de tração uniaxiais foram empregados para deformar aços inoxidáveis austeníticos do tipo 304, em diferentes temperaturas abaixo da ambiente (de 77 K a 300 K). A relação entre a estabilidade da austenita e o encruamento, em função da temperatura de teste, é discutida quanto à transformação martensítica induzida por deformação e ao deslizamento de discordâncias na austenita. em curvas tensão-deformação que assumem a equação de Ludwik sigma = sigmao + képsilonn, na qual sigma é a tensão verdadeira e e a elongação plástica verdadeira, um modo conveniente para analisar o encruamento é por meio do diagrama log dsigma / dépsilon versus log épsilon. O aspecto significativo é a variação da taxa de encruamento dsigma / dépsilon com a elongação plástica verdadeira nas diferentes temperaturas. As mudanças no comportamento do encruamento motivando até três estágios de deformação são associadas a diferentes processos microestruturais. A transformação martensítica pode ser considerada como um processo de deformação que compete com o processo usual de deslizamento. A investigação desses estágios, na região plástica, produz uma referência qualitativa de como diferentes fatores, tais como o grau de deformação, temperatura e composição química da austenita, afetam a transformação austenita-martensita.

Influence of the Al content on the phase transformations in Cu-Al-Ag alloys

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

beta Phase transformations in the Cu-11mass%Al alloy with Ag additions

In the Cu-Al system, due to the sluggishness of the beta a dagger" (alpha + gamma(1)) eutectoid reaction, the beta phase can be retained metastably. During quenching, metastable beta alloys undergo a martensitic transformation to a beta' phase at Al low content. The ordering reaction beta a dagger" beta(1) precedes the martensitic transformation. The influence of Ag additions on the reactions containing the beta phase in the Cu-11mass%Al alloy was studied using differential scanning calorimetry and in situ X-ray diffractometry. The results indicated that, on cooling, two reactions are occurring in the same temperature range, the beta -> (alpha + gamma(1)) decomposition reaction and the beta -> beta(1) reaction, with different reaction mechanisms (diffusive for the former and ordering for the latter) and, consequently, with different reaction rates. For lower cooling rates, the dominant is the decomposition reaction and for higher cooling rates the ordering reaction prevails. on heating, the (alpha + gamma(1)) -> beta reverse eutectoid reaction occurs with a resulting beta phase saturated with alpha. The increase of Ag concentration retards the beta -> (alpha + gamma(1)) decomposition reaction and the beta -> beta(1) ordering reaction, which occurs in the same temperature range, becomes the predominant process.

Completeness of beta-phase decomposition reaction in Cu-Al-Ag alloys

The completeness of beta-phase decomposition reaction in the Cu-11wt%Al-xwt%Ag alloys (x = 0, 1, 2, and 3) was studied using differential scanning calorimetry (DSC), X-ray diffractometry (XRD), and optical microscopy (OM). The results indicated that beta-phase transformations are highly dependent on cooling rate and on the presence of Ag. on slow cooling, the silver presence prevents the beta- and beta(1)-phase decomposition; thus, inducing the martensitic phase formation. After rapid cooling, a new thermal event is observed and the reverse martensitic transformation is shifted to lower temperatures.

Phase transformations in the Cu-Al alloy with Ag addition

The effect of Ag addition on the phase transformations that occur in the Cu-10% Al alloy was studied using differential thermal analysis, scanning electron and optical microscopies and energy dispersive X-ray analysis. The results indicated that Ag addition is responsible for the separation of the reverse martensitic transformation in two stages, and for the refinement of the α-phase grains. The relative amount of the β1 martensitic phase, retained on slow cooling (above 2 K min-1 of cooling rate), and the relative fraction of phase α2 are increased. The solubility limit of Ag in the matrix is close to 6 mass% and at this concentration the maximum stability of the β-phase is reached. © 2005 Akadémiai Kiadó, Budapest.

Estudo do efeito das adições de Ag na cinética da transformação martensítica reversa na liga Cu-11%Al

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Caracterização microestrutural de um aço médio carbono e baixa liga (com estrutura bainítica/martensítica) via microscopia óptica

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Estudo da transformação da austenita retida induzida por deformação, de um aço AISI4340 com estrutura multifásica

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)