Adaptive phase formation in martensitic transformation

Khachaturyan, A. G.; Shapiro, Stuart; Semenovskaya, S.

doi:10.1103/physrevb.43.10832

Cited by 313 publications

(265 citation statements)

References 11 publications

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“…͑6͒ to a high degree of accuracy. 7,8 This agreement between the measured and calculated parameters shows that the 7R phase of NiAl and the intermediate phase of Fe-Pd are adaptive phases. It also validates the assumption that the tetragonal twin-related microdomains have the same crystal lattice parameters as the tetragonal phase.…”

Section: A Intermediate Phases In Martensitic Transformationssupporting

confidence: 60%

“…However, a unique situation can arise in the case of a very low domain boundary energy: domains can miniaturize, as the domain size is proportional to ͱ␥, where ␥ is the domain wall energy. A thermodynamic and crystallographic theory 7,8 has been developed for this unique case, and applied to explain unusual features of an intermediate martensitic phase previously observed in both Al-62.5%Ni ͑Ref. 9͒ and Fe-Pd ͑Ref.…”

Section: A Ferroelastics With Very Low Domain Wall Energy: Adaptive mentioning

confidence: 99%

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Adaptive ferroelectric states in systems with low domain wall energy: Tetragonal microdomains

Jin¹,

Wang²,

Khachaturyan³

et al. 2003

Journal of Applied Physics

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Ferroelectric and ferroelastic phases with very low domain wall energies have been shown to form miniaturized microdomain structures. A theory of an adaptive ferroelectric phase has been developed to predict the microdomain-averaged crystal lattice parameters of this structurally inhomogeneous state. The theory is an extension of conventional martensite theory, applied to ferroelectric systems with very low domain wall energies. The case of ferroelectric microdomains of tetragonal symmetry is considered. It is shown for such a case that a nanoscale coherent mixture of microdomains can be interpreted as an adaptive ferroelectric phase, whose microdomain-averaged crystal lattice is monoclinic. The crystal lattice parameters of this monoclinic phase are self-adjusting parameters, which minimize the transformation stress. Self-adjustment is achieved by application of the invariant plane strain to the parent cubic lattice, and the value of the self-adjusted parameters is a linear superposition of the lattice constants of the parent and product phases. Experimental investigations of Pb(Mg1/3Nb2/3)O3–PbTiO3 and Pb(Zn1/3Nb2/3)O3–PbTiO3 single crystals confirm many of the predictions of this theory.

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Section: A Intermediate Phases In Martensitic Transformationssupporting

confidence: 60%

Section: A Ferroelastics With Very Low Domain Wall Energy: Adaptive mentioning

confidence: 99%

Adaptive ferroelectric states in systems with low domain wall energy: Tetragonal microdomains

Jin¹,

Wang²,

Khachaturyan³

et al. 2003

Journal of Applied Physics

Self Cite

233

208

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“…Another possible explanation for the giant piezoelectric response of PMN-xPT and PZN-xPT is the "adaptive phase" 44 model recently proposed by Jin et al, 42 Viehland, 45 and Wang. 46 Noting the similarities 47 between relaxorferroelectrics and martensites the authors propose a model based on the fine-scale twinning of tetragonal ͑or rhombohedral͒ domains.…”

Section: -4mentioning

confidence: 99%

Temperature dependence of the direct piezoelectric effect in relaxor-ferroelectric single crystals: Intrinsic and extrinsic contributions

Davis

Damjanović

Setter

2006

Journal of Applied Physics

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The direct piezoelectric response d33 of [001]C-poled 0.955Pb(Zn1∕3Nb2∕3)O3–0.045PbTiO3 [PZN-4.5PT] and 0.98Pb(Zn1∕3Nb2∕3)O3–0.08PbTiO3 [PZN-8PT] has been investigated as a function of temperature upon heating above 40°C to the paraelectric phase. Using a Rayleigh-law based analysis, it is shown that both the reversible/intrinsic and irreversible (extrinsic) contributions to the response increase in both compositions as the phase transition to a tetragonal phase is approached. The latter is likely due to an increased domain wall mobility close to the first order transition temperature, which also gives rise to an increased frequency dispersion. Large reversible direct piezoelectric responses d33>1600pm∕V are observed for both compositions, which increase dramatically close to the transition temperature. Most importantly, the reversible contribution is always much larger than the irreversible part in the low temperature, domain-engineered phase, the latter accounting for around 20% of the response in PZN-8PT, at 40°C, and 5% in PZN-4.5PT. The importance of this result to the validity of the adaptive phase model is discussed.

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“…The Ni content of the 14M phase was, however, not always measured as intermediate between the Ll"and B2 areas. Probably, the formation of the 14M structure is controlled by both the Ni concentration as well as the local stress configuration existing between the transformed and untransformed regions [9]. The latter can also result in slight changes of twin widths, twin volume fraction, twin plane orientation etc.…”

Section: Discussionmentioning

confidence: 99%

“…Occasionally, other stacking sequences, such as a 10 layered stacking have been observed [8]. Whether or not the 14M structure should be considered as an independent structure or simply a variation of Ll 0 with fine twins accommodating the transformation strain, is still a matter of discussion [8][9][10]. Still, as most reports on Ni-AI refer to the (52) stacking, the 14M structure will be used as the reference case for the long period martensite in the present discussions.…”

Section: Introductionmentioning

confidence: 99%

Nanoscale inhomogeneities in melt-spun Ni–Al

et al. 2000

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Abstract. Ni-AI material consisting 62 ...65%Ni was rapidly quenched to room temperature by the meltspinning technique and studied using X-ray diffraction, different transmission electron microscopy (TEM) modes and calorimetry measurements. Similar to bulk material, the initial B2 structure undergoes a martensitic transformation to the Llo or 14M structure. However, the transformation proceeds very inhomogeneously and results in a mixed microstructure consisting of transformed and untransformed regions. The structure of the transformed regions varies from faulted Llo to faulted 14M and shows a variety of morphological features. EDX and EELS nanoprobes reveal that the special structural state of the melt-spun material is explained mainly by solute segregation appearing during the crystallisation process. Thus, contrary to most of other melt quenched materials, in Ni-AI, solute segregation can not be suppressed by the rapid quenching procedure. Ageing at 1200°C restores the compositional homogeneity and results in more homogenious martensitic transformation resembling that in bulk Ni-AI material.

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Adaptive phase formation in martensitic transformation

Cited by 313 publications

References 11 publications

Adaptive ferroelectric states in systems with low domain wall energy: Tetragonal microdomains

Adaptive ferroelectric states in systems with low domain wall energy: Tetragonal microdomains

Temperature dependence of the direct piezoelectric effect in relaxor-ferroelectric single crystals: Intrinsic and extrinsic contributions

Nanoscale inhomogeneities in melt-spun Ni–Al

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