Dissipative processes during the nonequilibrium phase transformations in martensitic thermoelastic alloys

Martensitic thermoelastic transformations are considered under nonequilibrium conditions, where a system nonmonotonically tends toward a stationary process. The specific features of a phase transformation are experimentally studied on molecular models under these nonequilibrium conditions. A resonance mode of the phase transformation, which can increase the process rate by an order of magnitude without increasing the heat source temperature, is found. The dissipative processes that occur under the monotonic and resonance conditions of martensitic thermoelastic transformations are estimated. The resonance mode is shown to be accompanied by negative entropy production and to demonstrate the self-organization of the system. These results can be used to design materials and techniques for the processing of low-potential heat sources.     

Internal friction in alloys due to plasticity of the diffusion phase transformation

An analytic expression is obtained for the time dependence Q ^?1(t) of internal friction associated with plasticity of a phase transformation. Time dependences Q ^?1(t) of internal friction of the Pb-62Sn and Pb-1.9Sn alloys (wt.%) alloys were studied in the regime of continuous excitation of resonant flexural vibrations. The measurements of the Q ^?1(t) dependences for 1 h at room temperature and a fixed strain amplitude ε₀ ≈ 7 and 19 min) for the Pb-62Sn alloy. For the Pb-1.9Sn alloy under the same conditions, an exponential decrease followed by an internal friction peak (at t _m ≈ 7 min) is observed. It is shown numerically that the above singularities of internal friction are formed by processes of intermittent phase decomposition of Pb-Sn alloys in the cyclic stress field produced by an external load. Experimental data on Q ^?1(t) are used for reconstructing the kinetic curves describing the decomposition (conversion) ratio as a function of time and for calculating the corresponding values of parameters K and n of the Avrami kinetic equation for the Pb-62Sn alloy.     

Study of stabilization of CuAlBe alloy during martensitic transformation by internal friction

In this study, the internal friction (IF) of a CuAlBe alloy during reverse martensitic transformation (MT) was investigated under isothermal and non-isothermal conditions. It was found that the IF decreases regularly with the aging time in the temperature range of phase transformation. It is thought that this phenomenon is caused by the defect movement. The defects diffuse to the interfaces between martensite and austenite and pin there gradually, thus leading to the IF decrease.     

Bain strain upon thermoelastic martensitic transformation in intermetallic compounds based on titanium nickelide

Analysis of our original results and the data in the literature on the behavior of structural parameters of the austenitic and martensitic phases near phase transitions in alloys of the TiNi-TiMe (Me = Au, Pd, Pt, Rh, Cu, Co, Fe, Rh) system has been performed. It is established that the Bain strain and dilatation changes depend on the martensitic transformation “channel.”     

First-principles study of martensitic phase transformation of TiRh alloy

Geometric structures and atomic positions were studied with plane wave pseudo-potential method based on density functional theory for cubic, tetragonal, and monoclinic phases of TiRh alloy. Their phonon dispersion curves were obtained with frozen phonon method at harmonic approximation using density-functional perturbation theory. Our calculations revealed that both B2 and L1₀ phases are thermodynamically unstable. Jahn-Teller effect triggers the occurrence of Bain transformation from cubic to tetragonal phase, and then soft-mode phonon further leads to the transition from tetragonal to monoclinic phase on cooling. The monoclinic phase was predicted to be P2/m space group through atomic vibrational movement along [001] direction of virtual frequency modes of L1₀ phase. The temperature from B2 to L1₀ and then to P2/m were predicted to be about T=1100.53 K and T=324.48 K through free energy calculations with the electronic plus vibrational energy of formation, respectively, which is in good agreement with experimental observations.     

Ni2MnGa单晶马氏体相变过程摩擦耗能的热动力学计算

根据相界面摩擦原理 ,在推导出计算Ni2 MnGa系统热动力学参量的一般表示式的基础上 ,结合马氏体相变温度分别在室温以下、室温附近、室温以上三种非正配分比Ni2 MnGa单晶自发相变应变和交流磁化率随温度变化的测量结果 ,计算了三种样品马氏体相变过程中界面摩擦所消耗的能量 .结果进一步表明正是相变过程中的界面摩擦导致了相变的热滞后 ,而三种样品马氏体相变过程的摩擦耗能和相变热滞后存在较大差别的原因在于三种样品马氏体相变生成物具有不同的结构     

应力诱发NiAl单晶马氏体相变的分子动力学模拟

利用嵌入原子势（EAM）,对NiAl单晶在外应力作用下的动态拉伸过程进行了分子动力学模拟.应力-应变曲线分析以及原子构型分析表明外应力诱发NiAl合金发生了马氏体相变,原子结构由B2相转变为L1₀相.通过研究原子构型的演化过程,发现马氏体相变是通过多个{110}孪晶面的扩展和湮灭作用来完成的.同时探讨了马氏体相变的微观机理. 关键词： 马氏体相变 NiAl 分子动力学模拟     

Acoustic emission during thermoelastic martensitic transformations in titanium nickelide under isothermal loading

Acoustic emission during thermoelastic martensitic transformations in titanium nickelide is investigated. Phase transitions are initiated by loading the specimen to 200 MPa under isothermal conditions. It is found out that deformation buildup and acoustic emission in the loading-unloading cycles are observed in the first cycle only, during further cycles the acoustic emission is comparable to the background, while the deformation buildup and recovery are not associated with martensitic transformations. It is shown that recovery of the deformation built up during loading occurs due to heating to 600 °C, with the major part of accumulated deformation undergoing recovery already at 250 °C and recovery of its minor part observed at 400 °C. This behavior of acoustic emission and accumulation and recovery of deformation provide evidence of martensitic phase stabilization during cycling of martensitic transformations under conditions of thermo-mechanical cycling. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 89–94, February, 2008.     

Austenite hardening during forward and reverse martensitic transformation

It is shown that residual austenite hardens unevenly during martensitic transformation. The austenite forming at the sites of martensite plates has a higher hardness level than the residual austenite; this austenite plays a vital part in the hardening of alloys by the phase hardening method.     

Crystalline damage growth during martensitic phase transformations

A thermomechanical model is developed within a large deformation setting in order to simulate the interactions between martensitic phase transformations and crystalline damage growth at the austenitic grain level. Subgrain information is included in the model via the crystallographic theory of martensitic transformations. The damage and transformation characteristics are dependent of the specific martensitic transformation systems activated during a loading process, which makes the model strongly anisotropic. The state of transformation for the individual transformation systems is represented by the corresponding volume fractions. The state of damage in the austenite and in the martensitic transformation systems is reflected by the corresponding damaged volume fractions. The thermodynamical forces energetically conjugated to the rate of volume fraction and the rate of damaged volume fraction are the driving forces for transformation and crystalline damage, respectively. The expressions for these driving forces follow after constructing the specific form of the Helmholtz energy for a phase-changing, damaging material. The model is used to analyze several three-dimensional boundary value problems that are representative of microstructures appearing in multiphase carbon steels containing retained austenite. The analyses show that the incorporation of damage in the model effectively limits the elastic stresses developing in the martensitic product phase, where the maximum value of the stress strongly depends on the toughness of the martensite. Furthermore, in an aggregate of randomly oriented grains of retained austenite embedded in a ferritic matrix the generation of crystalline damage delays the phase transformation process, and may arrest it if the martensitic product phase is sufficiently brittle. The response characteristics computed with the phase-changing damage model are confirmed by experimental results.     

Stress-driven phase transformation and the roughening of solid-solid interfaces

The application of stress to multiphase solid-liquid systems often results in morphological instabilities. Here we propose a solid-solid phase transformation model for roughening instability in the interface between two porous materials with different porosities under normal compression stresses. This instability is triggered by a finite jump in the free energy density across the interface, and it leads to the formation of fingerlike structures aligned with the principal direction of compaction. The model is proposed as an explanation for the roughening of stylolites-irregular interfaces associated with the compaction of sedimentary rocks that fluctuate about a plane perpendicular to the principal direction of compaction.     

Ni2MnGa单晶马氏体相变过程摩擦耗能的热动力学计算

根据相界面摩擦原理，在推导出计算Ni₂MnGa系统热动力学参量的一般表示式的基础上，结合马氏体相变温度分别在室温以下、室温附近、室温以上三种非正配分比Ni₂MnGa单晶自发相变应变和交流磁化率随温度变化的测量结果，计算了三种样品马氏体相变过程中界面摩擦所消耗的能量.结果进一步表明正是相变过程中的界面摩擦导致了相变的热滞后，而三种样品马氏体相变过程的摩擦耗能和相变热滞后存在较大差别的原因在于三种样品马氏体相变生成物具有不同的结构. 关键词： 马氏体相变 应变 界面摩擦     

High-temperature shape memory effect and the B2-L10 thermoelastic martensitic transformation in Ni-Mn intermetallics

The properties and structure of the martensitic phase of alloys with a near-stoichiometric equiatomic Ni₅₀Mn₅₀ composition, as well as martensitic transformations in them, are investigated in a wide temperature range by measuring the resistivity and thermal expansion coefficient and applying transmission electron microscopy, scanning electron microscopy, electron diffraction, and X-ray diffraction. It is found that Ni₅₀Mn₅₀ and Ni₄₉Mn₅₁ alloys experience the B2 → L1₀ highly reversible thermoelastic martensitic transformation and its related high-temperature deformation of the transformation and shape memory effect. Critical temperatures, volume (ΔV/V = ?1.7%) and linear size effects attributed to the direct and reverse martensitic transformations, and the high-temperature dependences of the martensitic and austenite lattice parameters are determined. It is found that the morphology of tetragonal L1₀ martensitic represents a hierarchy of thin coherent sheets of submicrocrystallites and nanocrystallites with plane near-{111}L1₀ habit boundaries, the crystallites being pairwise twinned according to the {111}〈11 $\bar 2$ 〉 _L10 ∥ {011}〈-1 $\bar 1$ 〉 _B2 twinning shear scheme.     

Soft phonon mode at the martensitic phase transformation of AuCuZn2

The lattice dynamical property of AuCuZn₂ has been investigated by means of inelastic neutron scattering technique in connection with its martensitic phase transformation. The temperature dependent soft phonon was observed transformation. The temperature dependent soft phonon was observed around $\text{q =}\text{2}\text{3}\text{[110]}$ of TA₂ phonon branch. We have also found a premartensitic metastable phase, in which new satellite reflections at (H± $\text{2}\text{3}$, K ? $\text{2}\text{3}$, 0) have been observed around fundamental reflections with H + K = 4n. The atomic displacements of the soft phonon mode correspond to the atomic arrangement of the premartensitic phase.     

Energy conversion in the Carnot cycle during martensitic transformation

A Carnot cycle is proposed for a working material undergoing martensitic transformation while operating a finite temperature interval. The size of the interval depends on the thermodynamic characteristics of the transformation. Diagrams are presented to decribe the deformation of titanium under adiabatic and isothermal conditions. The diagrams confirm the possibility of realization of the transformation. A comparison is made with other known cycles. It is shown that transformation hysteresis diminishes the efficiency of the actual cycle.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 91–94, February, 1989.     

Change in the order of a martensitic phase transformation by an external field

It is shown on the basis of the Labbé-Friedel model for A₃B compounds that the martensitic phase transformation in Nb₃Sn can be changed from a first to a second order transition by an external stress. The Hamiltonian operator describing the phase transition in an external stress field has been mapped to a spin $\text{1}\text{2}$ Ising model with infinite range interactions showing a second order phase transition. Estimates of the transition temperature and the maximum order parameter are given suggesting new experiments.     

Investigation of the thermoelastic phase transformation in a NiAl alloy by molecular dynamics simulation

The Ni_xAl_1−x alloys exhibit shape memory effect, for which thermoelastic phase transformations are essential, in the composition range of 60<x<65. The analytical studies are very difficult on the thermoelastic phase transformations because these types of transformations exhibit anharmonic behaviour. In order to overcome this difficulty, it is possible to benefit from the molecular dynamics (MD) calculations based on interatomic interaction potentials. In the present study, the interatomic interactions of Ni_62.5Al_37.5 alloy have been modelled by means of Lennard-Jones potential energy function. A MD cell of 1024 atoms in B2 super lattice has been chosen and the structural changes were investigated on this system with changing temperature. It has been observed that the model alloy exhibits the thermoelastic phase transformation with thermal cycling. A hysteresis has been determined between forward and backward transformation temperatures. The structural analysis is also done before and after the transformation.