Mechanical and Dielectric Energy Loss Related to Viscous Motion and Freezing of Domain Walls

Wang, Y.N.; Huang, Y.; Shen, Huimin; Zhang, Z.F.

doi:10.1051/jp4:19968110

Cited by 15 publications

(16 citation statements)

References 10 publications

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“…30 These forces are (a) the configuration force F C by the external stress; (b) the attractive or repulsive force F I responsible for the interaction between the walls; (c) the viscous force ÀΓ_ x acting due to the scattering of the lattice as the walls move through the grain, where Γ is the viscous constant; (d) the recovering force Àk 0 x by the other defects, such as oxygen vacancies or dipoles, where k 0 is the force constant; and (e) the Peierls force. [30][31][32][33] If the domain walls are to be considered as quasiparticles with an effective mass M per unit area and the Peierls force is neglected, 31 then the following equation of the domain wall motion is proposed…”

Section: Discussionmentioning

confidence: 99%

Time and frequency dependent mechanical properties of LaCoO3-based perovskites: Neutron diffraction and domain mobility

Lugovy

Aman

Orlovskaya

et al. 2018

Journal of Applied Physics

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The study of domain wall movement and texture formation in ferroelastic LaCoO 3 perovskite under constant applied compressive stress has been performed using in situ neutron diffraction. It was established that under constant applied compressive stress the domain walls show mobility that may lead both to the shrinkage (creep strain) and to the expansion (negative creep strain) of LaCoO 3 perovskite. The domain wall movement and texture formation can be explained by the availability, mobility, and interaction of twins, stacking faults, antiphase boundaries, dislocations, and point defects, such as oxygen vacancies and their complexes as well as impurity atoms. The equation of motion was used to describe the possible mechanisms of domain wall movement under applied stress, and it was determined that the available solutions of this equation allow both for the shrinkage (creep strain) and for the expansion (negative creep strain) of LaCoO 3 perovskite to occur.

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Section: Discussionmentioning

confidence: 99%

Time and frequency dependent mechanical properties of LaCoO3-based perovskites: Neutron diffraction and domain mobility

Lugovy

Aman

Orlovskaya

et al. 2018

Journal of Applied Physics

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“…The equation of motion for a domain wall can be written (Huang et al, 1992;Wang et al, 1996;Combs and Yip, 1983):…”

Section: Discussionmentioning

confidence: 99%

Seismic-frequency attenuation at first-order phase transitions: dynamical mechanical analysis of pure and Ca-doped lead orthophosphate

2004

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The low-frequency mechanical properties of pure and Ca-doped lead orthophosphate, (Pb 1Àx Ca x ) 3 (PO 4 ) 2 , have been studied using simultaneous dynamical mechanical analysis, X-ray diffraction (XRD), and optical video microscopy in the vicinity of the first-order ferroelastic phase transition. Both samples show mechanical softening at T > T c , which is attributed to the presence of dynamic short-range order and microdomains. Stress-induced nucleation of the low-temperature ferroelastic phase within the hightemperature paraelastic phase was observed directly via optical microscopy at T & T c . Phase coexistence is associated with rapid mechanical softening and a peak in attenuation, P1, that varies systematically with heating rate and measuring frequency. A second peak, P2, occurs &3À5ºC below T c , accompanied by a rapid drop in the rate of mechanical softening. This is attributed to the change in mode of anelastic response from the displacement of the paraelastic/ferroelastic phase interface to the displacement of domain walls within the ferroelastic phase. Both the advancement/retraction of needles (W walls) and wall translation/rotation (W' walls) modes of anelastic response were identified by optical microscopy and XRD. A third peak, P3, occurring &15ºC below T c , is attributed to the freezing-out of local flip disorder within the coarse ferroelastic domains. A fourth peak, P4, occurs at a temperature determined by the amplitude of the dynamic force. This peak is attributed to the crossover between the saturation (high temperature) and the superelastic (low temperature) regimes. Both samples display large superelastic softening due to domain wall sliding in the ferroelastic phase. Softening factors of 20 and 5 are observed in the pure and doped samples, respectively, suggesting that there is a significant increase in the intrinsic elastic constants (and hence the restoring force on a displaced domain wall) with increasing Ca content. No evidence for domain freezing was observed down to À150ºC in either sample, although a pronounced peak in attenuation, P5, at T & À100ºC is tentatively attributed to the interaction between domain walls and lattice defects.Both samples show similar high values of attenuation within the domain-wall sliding regime. It is concluded that the magnitude of attenuation for ferroelastic materials in this regime is determined by the intrinsic energy dissipation caused by the wall-phonon interaction, and not by the presence of lattice defects. This will have a large impact on attempts to predict the effect of domain walls on seismic properties of mantle minerals at high temperature and pressure.

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“…One proposed loss mechanism involves an effective viscosity due to interaction between moving twin walls and phonons (Combs & Yip 1983; Huang et al . 1992; Wang et al . 1996; Harrison et al .…”

Section: Anelasticity Mapsmentioning

confidence: 99%

“…Between T c and the freezing interval, a plateau of approximately constant (and high) dissipation appears to be characteristic of both ferroelectric and ferroelastic materials (Huang et al 1997;Harrison & Redfern 2002;Harrison et al 2003;Schranz et al 2003;Schranz & Kityk 2008). One proposed loss mechanism involves an effective viscosity due to interaction between moving twin walls and phonons (Combs & Yip 1983;Huang et al 1992;Wang et al 1996;Harrison et al 2004c). A non-Debye type of dispersion can also occur if the twin wall motion involves local displacements which have a broad distribution of relaxation times due to interaction with defects at different spacings (Ioffe & Vinokur 1987;Natterman et al 2001;Mueller et al 2002;Schranz et al 2003).…”

Section: Twin Wall Dynamics In Single Crystal Laalomentioning

confidence: 99%

Anelasticity maps for acoustic dissipation associated with phase transitions in minerals

Carpenter¹,

Zhang²

2011

Geophysical Journal International

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S U M M A R YAcoustic dissipation due to structural phase transitions in minerals could give rise to large seismic attenuation effects superimposed on the high temperature background contribution from dislocations and grain boundaries in the Earth. In addition to the possibility of a sharp peak actually at a transition point for both compressional and shear waves, significant attenuation might arise over wider temperature intervals due to the mobility of transformation twins or other defects associated with the transition. Attenuation due to structural phase transitions in quartz, pyroxenes, perovskites, stishovite and hollandite, or to spin state transitions of Fe 2+ in magnesiowüstite and perovskite and the hcp/bcc transition in iron-nickel (Fe-Ni) alloy, are reviewed from this perspective. To these can be added possible loss behaviour associated with reconstructive transitions which might occur by a ledge mechanism on topotactic interfaces (orthopyroxene/clinopyroxene, olivine/spinel and perovskite/postperovskite), with impurities (Snoek effect) or with mobility of protons. There are experimental difficulties associated with measuring dissipation effects in situ at simultaneous high pressures and temperatures, so reliance is currently placed on investigation of analogue phases such as LaCoO 3 for spinstate behaviour and LaAlO 3 for the dynamics of ferroelastic twin walls. Similarly, it is not possible to measure loss dynamics simultaneously at the low stresses and low frequencies that pertain in seismic waves, so reliance must be placed on combining different techniques, such as dynamic mechanical analysis (low frequency, relatively high stress) and resonant ultrasound spectroscopy (high frequency, low stress), to extrapolate acoustic loss behaviour over wide frequency, temperature and stress intervals. In this context 'anelasticity maps' provide a convenient means of representing different loss mechanisms. Contouring of the inverse mechanical quality factor, Q −1 , can be achieved if the appropriate constitutive laws are known. The overall approach is illustrated using the examples of spin-state transitions of Co 3+ in LaCoO 3 and twin mobility in single crystals of the rhombohedral phase of LaAlO 3 . Anelasticity maps of this type should give seismologists a clearer view of the characteristic patterns of seismic velocity and attenuation that could be used to detect (or rule out) the presence of particular phase transitions or loss behaviour in the core and mantle.

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Mechanical and Dielectric Energy Loss Related to Viscous Motion and Freezing of Domain Walls

Abstract: Three dielectric loss @) andlor three mechanical loss (Q-') peaks (Pl,P2,P3)

Cited by 15 publications

References 10 publications

Time and frequency dependent mechanical properties of LaCoO3-based perovskites: Neutron diffraction and domain mobility

Time and frequency dependent mechanical properties of LaCoO3-based perovskites: Neutron diffraction and domain mobility

Seismic-frequency attenuation at first-order phase transitions: dynamical mechanical analysis of pure and Ca-doped lead orthophosphate

Anelasticity maps for acoustic dissipation associated with phase transitions in minerals

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