Analysis of dissipation of a burst-type martensite transformation in a Fe-Mn alloy by internal friction measurements

Fung, P. C. W.; Zhang, J. X.; Yuan, Lin; Liang, Kang; Lin, Z. C.

doi:10.1103/physrevb.54.7074

Cited by 10 publications

(11 citation statements)

References 9 publications

(5 reference statements)

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“…Internal friction peaks associated with the movement of interfaces between coexisting phases at a first-order transition have been measured in a number of systems including BaTiO 3 , 43,44 Fe-Mn alloy, 45 and CuAlBe alloy. 46 These internal friction peaks have in common that the peak height increases with decreasing frequency and is independent of the measuring strain amplitude.…”

Section: B Anelastic Dissipationmentioning

confidence: 99%

Microstructure dynamics in orthorhombic perovskites

et al. 2010

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Anelastic loss mechanisms associated with phase transitions in BaCeO 3 have been investigated at relatively high frequency ϳ1 MHz and low stress by resonant ultrasound spectroscopy ͑RUS͒, and at relatively low frequency ϳ1 Hz and high stress by dynamic mechanical analysis ͑DMA͒. Changes in the elastic moduli and dissipation behavior clearly indicate phase transitions due to octahedral tilting: Pnma ↔ Imma ↔ R3c ↔ Pm3m structures at 551 K, 670 K, and 1168 K, and strain analysis shows that they are tricritical, first-order, and second-order phase transitions, respectively. Structures with intermediate tilt states ͑R3c and Imma structures͒ show substantial anelastic softening and dissipation associated with the mobility of twin walls under applied stress. The Pnma structure shows elastic stiffening which may be due to the simultaneous operation of two discrete order parameters with different symmetries. In contrast with studies of other perovskites, BaCeO 3 shows strong dissipation at both DMA and RUS frequencies in the stability field of the Pnma structure. This is evidence that ferroelastic twin walls might become mobile in Pnma perovskites and suggests that shearing of the octahedra may be a significant factor.

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Section: B Anelastic Dissipationmentioning

confidence: 99%

Microstructure dynamics in orthorhombic perovskites

et al. 2010

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“…Now we turn to the purely massive theory, Eq. (14) with the Gaussian noise (4). Its dynamic functional is again similar to Eq.…”

Section: B Renormalization Factors and Their Relationsmentioning

confidence: 99%

“…It has also been estimated to ranging from 0.26 to 0.49 in a couple of alloys and compounds [1][2][3][4][5], not far away from the theoretically value in d = 3. However, the ranges of the sweep rate R employed in these experiments are small and thus further experiments are desirable.…”

Section: E Exponents Of Thermal Hysteresismentioning

confidence: 99%

Renormalization group theory for temperature-driven first-order phase transitions in scalar models

Liang

Zhong

2017

Front. Phys.

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We study the scaling and universal behavior of temperature-driven first-order phase transitions in scalar models. These transitions are found to exhibit rich phenomena, though they are controlled by a single complex-conjugate pair of the imaginary fixed points of a φ 3 theory. Scaling theories and renormalization-group theories are developed to account for the phenomena. Several universality classes with their own hysteresis exponents are found including a field-like thermal class, a partly thermal class, and a purely thermal class, designated respectively as Thermal Class I, II, and III. The first two classes arise from the opposite limits of the scaling forms proposed and may cross over to each other depending on the temperature sweep rate. They are both described by a massless model and a purely massive model, both of which are equivalent and are derived from the φ 3 theory via symmetry. Thermal Class III characterizes the cooling transitions in the absence of applied external fields and is described by purely thermal models, which includes cases in which the order parameters possess different symmetries and thus exhibiting different universality classes. For the purely thermal models whose free energies contain odd-symmetry terms, Thermal Class III emerges only in mean-field level and is identical with Thermal Class II. Fluctuations change the model into the other two models. Using the extant three-and two-loop results for the static and dynamic exponents for the Yang-Lee edge singularity, respectively, which falls into the same universality class to the φ 3 theory, we estimate the thermal hysteresis exponents of the various classes to the same precisions. Comparisons with numerical results and experiments are briefly discussed.

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“…Many proposed causal mechanisms have been reviewed by Zhang et al [16], Van Humbeeck et al [17] and Fung et al [18]. Most theories are based on the creation and motion of twin boundaries during the transformation.…”

Section: Introductionmentioning

confidence: 98%

Internal friction due to negative stiffness in the indium–thallium martensitic phase transformation

Jaglinski¹,

Frascone²,

Moore³

et al. 2006

Philosophical Magazine

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Internal friction and dynamic shear modulus in an indium-21 at.% thallium alloy were measured as functions of frequency and cooling rate using broadband viscoelastic spectroscopy during the martensitic transformation which occurs in this material occurs around 50 C. Microstructural evolution of martensitic bands was captured using time-lapse optical microscopy. The amplitude of damping peaks due to the temperature-induced transformation in the polycrystalline alloy was found to exceed those reported by others for single crystals of similar alloy compositions, in contrast to the usual reduction in damping in polycrystals. The high temperature portion of the damping peak occurs before martensitic bands are observed; therefore this portion cannot be due to interfacial motion. Constrained negative stiffness of the grains can account for this damping, as well as for amplification of internal friction peaks in these polycrystals and for sigmoid-shaped anomalies in the shear modulus at high cooling rates. Surface features associated with a previously unreported pre-martensitic phenomenon are seen at temperatures above martensite-start.

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Analysis of dissipation of a burst-type martensite transformation in a Fe-Mn alloy by internal friction measurements

Cited by 10 publications

References 9 publications

Microstructure dynamics in orthorhombic perovskites

Microstructure dynamics in orthorhombic perovskites

Renormalization group theory for temperature-driven first-order phase transitions in scalar models

Internal friction due to negative stiffness in the indium–thallium martensitic phase transformation

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