A temperature-dependent hysteresis model for relaxor ferroelectric compounds

Raye, Julie K.; Smith, Ralph C.

doi:10.1117/12.539784

Cited by 9 publications

(11 citation statements)

References 20 publications

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“…(v) Temperature and Stress-Dependencies: The kernel (29) incorporates certain temperature-dependencies as well as the transition between ferromagnetic and paramagnetic phases; however, its accuracy should be considered limited when quantifying changes over a broad temperature range. Certain extensions to the framework to provide more comprehensive characterization of temperature effects has been developed in [35] in the context of relaxor ferroelectric materials. The framework presented here focuses on constant stress conditions.…”

Section: Discussionmentioning

confidence: 99%

“…We consider first the convergence of the expected magnetization relations (47). For negative moments, we consider the Dirac sequence {φ j } defined in (41) (52) for H c defined by (35). Similar analysis for positively oriented moments in the considered energy landscape yields lim…”

Section: Limiting Behavior Of Local Magnetization Modelmentioning

confidence: 99%

“…result from the necessary condition (28) (35). From (25), it follows that for M < −M I , the Boltzmann probability can be formulated as (49) with high thermal activation (---) and limiting magnetization M specified by (32) in the absence of thermal activation (--).…”

Section: Gaussian Behavior Of µmentioning

confidence: 99%

“…(i) The first is the energy basis of the model -formulation through energy analysis provides a low-order model which, for certain density choices, has parameters that can be physically correlated with properties of the data. (ii) Due to the energy basis of the framework, stress and temperature-dependencies are incorporated in the basis or kernel in the new model (e.g., see [34,35]) whereas they enter the weights in the Preisach formulation. Because they are incorporated in the kernel, the model automatically incorporates these effects which eliminates the necessity of vector-valued weights or lookup tables.…”

Section: Preisach Frameworkmentioning

confidence: 99%

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A homogenized energy framework for ferromagnetic hysteresis

Smith

Dapino

2006

IEEE Trans. Magn.

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In this paper we develop a macroscopic framework quantifying the hysteresis and constitutive nonlinearities inherent to ferromagnetic materials. In the first step of the development, we construct Helmholtz and Gibbs energy relations at the mesoscopic or lattice level based on the assumption that magnetic moments or spins are restricted to two orientations. Direct minimization of the Gibbs energy yields local average magnetization relations appropriate for operating regimes in which relaxation mechanisms are negligible whereas the balance of the Gibbs and relative thermal energies through Boltzmann principles provides local models which incorporate mechanisms such as thermal after-effects. To construct macroscopic relations that incorporate material nonhomogeneities, polycrystallinity, and variable effective fields, we employ stochastic homogenization techniques based on the assumption that parameters such as local coercive and interaction fields are manifestations of underlying distributions. The resulting framework quantifies in a natural manner the anhysteretic magnetization provided by decaying AC fields and guarantees the closure of biased minor loops once transient accommodation and after-effects are complete. Furthermore, noncongruency is achieved with certain choices for the energy functionals. Hence the framework provides an energy basis for certain extended Preisach models and the relation of the framework to several macroscopic hysteresis models is detailed. The behavior of both the nonlinear anhysteretic relations and full hysteresis model are validated through comparison with experimental steel and nickel data.i Report Documentation PageForm Public reporting burden for the collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing this burden, to Washington Headquarters Services, Directorate for Information Operations and Reports, 1215 Jefferson Davis Highway, Suite 1204, Arlington VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to a penalty for failing to comply with a collection of information if it does not display a currently valid OMB control number.

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Section: Discussionmentioning

confidence: 99%

Section: Limiting Behavior Of Local Magnetization Modelmentioning

confidence: 99%

Section: Gaussian Behavior Of µmentioning

confidence: 99%

Section: Preisach Frameworkmentioning

confidence: 99%

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A homogenized energy framework for ferromagnetic hysteresis

Smith

Dapino

2006

IEEE Trans. Magn.

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“…Furthermore, it is illustrated in [1,24,26,38,39] that the framework accommodates certain temperature dependencies, relaxation mechanisms, and rate dependencies. Finally, it is amenable to inversion and use as a nonlinear inverse filter for linear control design [25,35].…”

Section: Development Of a Unified Modeling Frameworkmentioning

confidence: 99%

Model-Based Compensator and Control Design for High Performance Nonlinear Tranducers

Smith¹

2004

Self Cite

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Th« publk: raporting burdan for this collcctian of information is •stimstsd to svsrags 1 hour par rasponsa, incll gatharing and maintaining tha data naadad, and complating and raviawing tha collaction of information. DISTRIBUTION/AVAILABILITY STATEMENTDisbibution Statement A. Approved for public release; distribution is unlimited. SUPPLEMENTARY NOTES ABSTRACTDuring the program, we pursued parallel and synergistic investigations focused on the development of energy-based models for high performance smart material transducers and model based control designs for these transducers to provide a robust control framework for actuators operating in highly nonlinear and hysteretic regimes. BEST AVAILABLE COPY

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Physical properties of strontium barium niobate thin films prepared by polymeric chemical method

et al. 2016

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Randomly oriented Sr 0.75 Ba 0.25 Nb 2 O 6 thin films have been deposited on Pt(111)/Ti/SiO 2 /Si substrates using a polymeric chemical method to study their physical properties. Refinements of the structure confirm the stoichiometry of the studied films. The relaxor behavior is evidenced by the dielectric measurements and V€ ogel-Fulcher analysis of the dielectric curves. Lowering the transition temperature (T m ) by about 100 K and asymmetries in the local hysteresis loops well above T m are discussed in terms of the existence of complex defects in thin films. KEYWORDS Relaxor; hysteresis loop; dielectric measurement; SBN CONTACT E.B. Araujo eudes@dfq.feis.unesp.br Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/gfer.

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A temperature-dependent hysteresis model for relaxor ferroelectric compounds

Cited by 9 publications

References 20 publications

A homogenized energy framework for ferromagnetic hysteresis

A homogenized energy framework for ferromagnetic hysteresis

Model-Based Compensator and Control Design for High Performance Nonlinear Tranducers

Physical properties of strontium barium niobate thin films prepared by polymeric chemical method

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