Relevant bibliographies by topics / Phase change hysteresis

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Phase change hysteresis'

Author: Grafiati
Published: 28 June 2021
Last updated: 29 July 2025

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Journal articles on the topic "Phase change hysteresis"

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Lu, Dingyu, Xiaofeng Xu, Xuelai Zhang, Wenhao Xie, and Yintao Gao. "Study on Influencing Factors of Phase Transition Hysteresis in the Phase Change Energy Storage." Materials 15, no. 8 (2022): 2775. http://dx.doi.org/10.3390/ma15082775.

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Phase change energy storage is a new type of energy storage technology that can improve energy utilization and achieve high efficiency and energy savings. Phase change hysteresis affects the utilization effect of phase change energy storage, and the influencing factors are unknown. In this paper, a low-temperature eutectic phase change material, CaCl2·6H2O-MgCl2·6H2O, was selected as the research object, combined with the mechanism of phase change hysteresis characteristics, using a temperature acquisition instrument to draw the step cooling curve. A differential scanning calorimeter was used
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Caravelli, Francesco, Gia-Wei Chern, and Cristiano Nisoli. "Artificial spin ice phase-change memory resistors." New Journal of Physics 24, no. 2 (2022): 023020. http://dx.doi.org/10.1088/1367-2630/ac4c0a.

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Abstract We present a proposal for realization of an electrical memory reminiscent of a memristor in connected Kagome artificial spin ice. We show that current flowing through the system alters the magnetic ensemble, which in turns controls the overall resistance thus leaving memory of current passage in the system. This introduces a current-dependent effect for a dynamic resistive state. We simulate a spin-induced thermal phase-change mechanism, and an athermal domain-wall spin inversion. In both cases we observe electrical memory behavior with an I–V hysteretic pinched loop, typical of memri
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Meyers, Jeremy P. "Hysteresis and Phase Change in Electrochemical Materials." ECS Transactions 16, no. 13 (2019): 167–73. http://dx.doi.org/10.1149/1.2987768.

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Gamisch, Sebastian, and Stefan Gschwander. "Modeling of phase change hysteresis during partial phase change with the “shift”-method." Journal of Physics: Conference Series 2766, no. 1 (2024): 012231. http://dx.doi.org/10.1088/1742-6596/2766/1/012231.

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Abstract For phase change materials (PCM) a difference between melting and crystallization temperature can occur, the so-called supercooling. For numerical modelling of this hysteresis effect, phenomenological approaches based on the experimentally determined enthalpy-temperature relations for melting and crystallization can be applied. It is challenging to model the behavior for partial phase transitions. The study presents a new phenomenological method, called the “shift”-method. It is derived especially but not only for PCMs with a multistage phase change during crystallization, like it can
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Goderis, Maité, Adam Buruzs, Fabrizia Giordano, Tilman Barz, Wim Beyne, and Michel De Paepe. "Numerical modelling of thermal hysteresis in melting and solidification of phase change materials." Journal of Physics: Conference Series 2766, no. 1 (2024): 012227. http://dx.doi.org/10.1088/1742-6596/2766/1/012227.

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Abstract This research focuses on exploring the impact of thermal hysteresis effects on the performance of Phase Change Materials (PCMs) used in thermal storage or buffering applications. Computational Fluid Dynamics modeling in ANSYS Fluent is employed to investigate thermal hysteresis phenomena during solid-liquid phase change. The traditional enthalpy-porosity method is extended by introducing an alternative relationship between the liquid fraction and PCM temperature, implemented in Fluent through User Defined Functions. The study demonstrates the developed model by simulating a rectangula
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Abrahams, S. C., J. Ravez, H. Ritter, and J. Ihringer. "Structure–property correlation over five phases and four transitions in Pb5Al3F19." Acta Crystallographica Section B Structural Science 59, no. 5 (2003): 557–74. http://dx.doi.org/10.1107/s0108768103011509.

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The calorimetric and dielectric properties of Pb5Al3F19 in the five phases stable under ambient pressure are correlated with structure for fuller characterization of each phase. The first-order transition between ferroelectric phase V and antiferroelectric phase IV at T V,IV = 260 (5) K exhibits a thermal hysteresis of 135 (5) K on heating, with a maximum atomic displacement Δ(xyz)max = 1.21 (6) Å; the transition from phase IV to ferroelastic phase III at 315 (5) K is also first order but with a thermal hysteresis of 10 (5) K and Δ(xyz)max = 0.92 (7) Å; that from phase III to paraelastic phase
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Hu, Yue, Rui Guo, Per Kvols Heiselberg, and Hicham Johra. "Modeling PCM Phase Change Temperature and Hysteresis in Ventilation Cooling and Heating Applications." Energies 13, no. 23 (2020): 6455. http://dx.doi.org/10.3390/en13236455.

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Applying phase change material (PCM) for latent heat storage in sustainable building systems has gained increasing attention. However, the nonlinear thermal properties of the material and the hysteresis between the two-phase change processes make the modelling of PCM challenging. Moreover, the influences of the PCM phase transition and hysteresis on the building thermal and energy performance have not been fully understood. This paper reviews the most commonly used modelling methods for PCM from the literature and discusses their advantages and disadvantages. A case study is carried out to exa
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Zastawna-Rumin, Anna, Tomasz Kisilewicz, and Umberto Berardi. "Novel Simulation Algorithm for Modeling the Hysteresis of Phase Change Materials." Energies 13, no. 5 (2020): 1200. http://dx.doi.org/10.3390/en13051200.

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Latent heat thermal energy storage (LHTES) using phase change materials (PCM) is one of the most promising ways for thermal energy storage (TES), especially in lightweight buildings. However, accurate control of the phase transition of PCM is not easy to predict. For example, neglecting the hysteresis or the effect of the speed of phase change processes reduces the accuracy of simulations of TES. In this paper, the authors propose a new software module for EnergyPlus™ that aims to simulate the hysteresis of PCMs during the phase change. The new module is tested by comparing simulation results
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Khosravi, Arash, Matteo Zucchini, Adriano Mancini, and Davide Neri. "Continuous Third Phase Fruit Monitoring in Olive with Regulated Deficit Irrigation to Set a Quantitative Index of Water Stress." Horticulturae 8, no. 12 (2022): 1221. http://dx.doi.org/10.3390/horticulturae8121221.

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The transversal fruit diameter (FD) was monitored continuously by automatic extensimeters (fruit gauges) in order to monitor fruit growth dynamics under deficit irrigation treatments. The daily diameter fluctuation (ΔD, mm), the daily growth (ΔG, mm), the cumulative fruit growth (CFG, mm), and the fruit relative growth rate (RGR, mm mm−1 h−1) of four olive cultivars (Ascolana dura, Piantone di Falerone, Arbequina, and Lea) were studied during the third phase of fruit growth. Two regulated deficit irrigation treatments DI-20 (20% of ETc) and DI-10 (10% of ETc) were applied. The daily hysteretic
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Aiki, T., E. Minchev, and T. Okazaki. "Mathematical models for phase change problems with hysteresis effect." Nonlinear Analysis: Theory, Methods & Applications 63, no. 5-7 (2005): e1185-e1198. http://dx.doi.org/10.1016/j.na.2005.03.089.

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Dissertations / Theses on the topic "Phase change hysteresis"

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Petrášová, Anna. "Počítačové modelování teplotní hystereze při změně skupenství." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-445463.

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This thesis deals with computer modeling of temperature hysteresis during phase change, namely complete and partial phase change. There is performed a review of methods for modeling temperature hysteresis based on the enthalpy method and the effective heat capacity method. In the case of complete phase change, there are several methods that use the effective heat capacity method, as well as the heat source method, which, on the contrary, is a certain analogy of the enthalpy method. The following are works dealing with modelling of partial phase change, the most interesting of which is due to t
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Andersson, Martin. "Phase Phenomena in Polymer Networks : Empirical Studies on the Influence of Hydrophobicity, Charge Density and Crosslinks on Macroion-Induced Phase Transitions in Polyelectrolyte Gels." Doctoral thesis, Uppsala universitet, Institutionen för farmaci, 2011. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-145381.

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The thesis concerns polyelectrolyte gels in contact with oppositely charged proteins and surfactant micelles, and includes of four papers (I-IV). In paper I confocal Raman spectroscopy was introduced as a method to trace micelles and investigate the structure of gel-surfactant complexes, in phase separated gel spheres. In paper II, the binding of surfactants to microspheres (~50-100 µm) was investigated by means of a micromanipulator-assisted microscopy method. The two surfactants were found to display qualitative difference respect to degree of swelling, surfactant distribution in the gels, a
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Chung, Feng-Ju, and 鍾奉儒. "Microencapsulated Yolk Shell Metal and Alloy Phase Change Materials with Lower Thermal Hysteresis as Higher Thermal Absorber for Thermal Energy Storage." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/n67y59.

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Hsu, Ting-Heng, and 許廷亨. "Thermal Hysteresis Study on Phase Changed Core-Shell Micro particles." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/skz6j9.

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Books on the topic "Phase change hysteresis"

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Sheppard, Charles R. C., Simon K. Davy, Graham M. Pilling, and Nicholas A. J. Graham. Consequences to reefs of changing environmental stress. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198787341.003.0009.

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A stable state in a healthy reef is a dynamic equilibrium which is maintained by interactions between different trophic groups and by a balance between growth and erosion, which is caused by weather and eroding species. If the stable, coral-dominated state is perturbed beyond a critical point, the system undergoes a phase shift and switches to an alternative state, perhaps one dominated by macroalgae; this alternative state itself is then relatively stable. A hysteresis effect means that removal of the stresses that caused the switch in the first place may not be sufficient to reverse the cond
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Book chapters on the topic "Phase change hysteresis"

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Promislow, Keith S. "Phase Change and Hysteresis in PEMFCs." In Topics in Applied Physics. Springer New York, 2009. http://dx.doi.org/10.1007/978-0-387-78691-9_8.

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Hilpert, Martin. "On Uniqueness for Evolution Problems with Hysteresis." In Mathematical Models for Phase Change Problems. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-9148-6_19.

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Müller, Ulrich, and Gemma de la Flor. "Symmetry relations at phase transitions." In Symmetry Relationships between Crystal Structures, 2nd ed. Oxford University PressOxford, 2024. https://doi.org/10.1093/oso/9780192858320.003.0016.

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Abstract According to Ehrenfest, a phase transitions in the solid state is of first order if the entropy or the volume change is discontinuous; if both are continuous, the phase transition is of second order. In a more recent classification, a phase transition is discontinuous if the entropy and an order parameter change discontinuously and it is continuous if the entropy and the order parameter change continuously. A discontinuous phase transition is accompanied by an exchange of latent heat and it exhibits hysteresis. In a reconstructive phase transition, chemical bonds are broken and rejoin
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Kobayashi Satoru, Saito Atsushi, Kikuchi Nobuhiro, et al. "Evaluation of Deformation-Induced Martensite Phase in Austenitic Stainless Steel Using Magnetic Minor Hysteresis Loops." In Studies in Applied Electromagnetics and Mechanics. IOS Press, 2009. https://doi.org/10.3233/978-1-60750-023-0-247.

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Scaling power-law rules in magnetic minor hysteresis loops for deformed SUS304 stainless steels have been examined in order to characterize ferromagnetic α′martensites embedded in a paramagnetic austenitic matrix. The scaling power law between the hysteresis loss and remanence is found to be universal, being independent of volume fraction of strain-induced α′martensites. A coefficient of the power law largely decreases with volume fraction, reflecting a change in the size and morphology of martensites. The present method is highly effective for integrity
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Mohapatra J.N., Kamada Y., Kikuchi H., et al. "Evaluation of sigma phase embrittlement in Fe-Cr alloys by magnetic hysteresis loop technique." In Studies in Applied Electromagnetics and Mechanics. IOS Press, 2012. https://doi.org/10.3233/978-1-60750-968-4-117.

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Fe-Cr alloys with different Cr content were subjected to various heat treated conditions to produce σ phase. Micro-Vickers hardness and magnetic hysteresis loop (MHL) measurements were carried out at various heat treated conditions of the alloys to observe the change in mechanical and magnetic properties respectively. A drastic increase in hardness and coercivity whereas sudden drop in remanence and maximum induction were observed at large volume fraction of σ phase in higher Cr content alloy (48% Cr). At small volume fraction of σ phase no change in hardness was
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Skoko, Željko, and Stanko Popović. "Microstructure of Al-Cu, Al-Zn, Al-Ag-Zn, and Al-Zn-Mg Alloys." In Encyclopedia of Aluminum and Its Alloys. CRC Press, 2019. http://dx.doi.org/10.1201/9781351045636-140000172.

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The precipitation phenomena and their connection with the microstructure of several Al alloys (Al-Cu, Al-Zn, Al-Ag-Zn, Al-Zn-Mg) are described with respect to the concentration and applied thermal treatment. The alloys were rapidly quenched or slowly cooled from a temperature higher than the solid solution temperature to room temperature. Both quenched-aged and slowly cooled alloys were heated from room temperature to the solid solution state and cooled back to room temperature, and their microstructure and precipitation phenomena were followed in situ by X-ray powder diffraction, e.g., anisot
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Butler, Patrick J., J. Anne Brown, D. George Stephenson, and John R. Speakman. "Temperature regulation in ectotherms." In Animal Physiology. Oxford University Press, 2021. http://dx.doi.org/10.1093/hesc/9780199655458.003.0012.

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This chapter explores temperature regulation in ectotherms. Almost all invertebrates, all amphibians, most fish, and most reptiles are ectotherms. Ectotherms influence their body temperatures by behavioural thermoregulation. The simplest form of behavioural thermoregulation is thermal selection according to the preferred body temperatures of aquatic animals. Meanwhile, terrestrial ectotherms adjust their rate of heat uptake and heat loss by shuttle behaviour. The chapter then looks at albedo, melanism, and thermal hysteresis. Some animals cope with cold conditions by entering a resting phase c
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Yakubu, Shedrach. "Domain and Domain Wall Motion." In Ferroic Materials - Understanding, Development, and Utilization [Working Title]. IntechOpen, 2025. https://doi.org/10.5772/intechopen.1006892.

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Generally, domains in ferroic materials are a special kind of twin defect that occurs to counter the effect of the stray fields generated during phase transformation from a highly symmetric phase to a low symmetric phase. Domain walls serve as a boundary between two or more domains, either antiparallel (forming 180° domain wall) or perpendicular (forming 90° domain wall), based on the direction of the order parameter. The science and engineering of domain and domain wall motions are highly significant as this plays a crucial role in hysteresis modification and property enhancement in ferroic m
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"Nonlinear Transient Analysis." In Structural Dynamics and Static Nonlinear Analysis From Theory to Application. IGI Global, 2021. http://dx.doi.org/10.4018/978-1-7998-4399-3.ch010.

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In this chapter, the author begin by presenting the main causes of non-linearity, which are geometric and material source, change in boundary condition. The last presented source is pretensions. Then they go to the physical understanding of non-linear behavior by presenting the different phases of hysteresis curve sequence of a reinforced concrete structure. In this chapter, readers pass over various numerical formulation, which allow them to deal with non-linearity, namely Lagrange and Euler formulation, total Lagrangian formulation, Piola-Kirchhoff 2, and corotational formulation. Some examp
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Areiza Maria C.L., Sacramento Rodrigo, Sommer Rubem L., Chávez Diego E. González, and Rebello João M.A. "Understanding Sigma Phase Influence on the Magnetic Behavior of Duplex Stainless Steel." In Studies in Applied Electromagnetics and Mechanics. IOS Press, 2012. https://doi.org/10.3233/978-1-60750-968-4-140.

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Duplex stainless steel (DSS) has a wide application in industrial structures that needs strong corrosion resistance. The properties that make this class of steel very attractive for the oil refinery industry are: high strength, toughness, ductility, stress corrosion cracking resistance, even in H2S containing environments, allied to low cost when compared to conventional stainless steel. DSS are two-phase materials which microstructure consists of grains of ferrite (δ) and austenite (γ). Nonetheless, a drawback is pointed out: exposition to temperatures in the range 300&amp
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Conference papers on the topic "Phase change hysteresis"

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Goderis, Maite, Adam Buruzs, Fabrizia Giordano, Tilman Barz, Wim Beyne, and Michel De Paepe. "MODELING OF PHASE CHANGE TRANSITIONS IN ANSYS FLUENT INCLUDING THERMAL HYSTERESIS." In Proceedings of the 9th CHT-24 ICHMT International Symposium on Advances in Computational Heat Transfer May 26 - 30, 2024, Istanbul, Turkiye. Begellhouse, 2024. https://doi.org/10.1615/ichmt.2024.cht-24.470.

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Gosselin, Daniel, and Daniel Feszty. "Numerical Investigation of the Effect of Shock-Induced Flow Separation on Dynamic Stall in Time-Varying Freestream Conditions." In Vertical Flight Society 72nd Annual Forum & Technology Display. The Vertical Flight Society, 2016. http://dx.doi.org/10.4050/f-0072-2016-11382.

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Dynamic stall on an oscillatory pitching NACA 0012 airfoil was simulated via CFD under time-varying freestream conditions, which are representative of fast forward flight for a helicopter and which lead to transonic effects at the minimum of the pitch angle. The selected flow conditions were representative of a helicopter blade section at around 80% of the blade radius at the extreme of the forward flight speed, i.e. at around Mach 0.3. A sinusoidal pitch angle variation of 15° ± 10° and an out-of-phase sinusoidal freestream variation of Mach 0.48 ± 0.3 were applied at a mean reduced frequency
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Charvat, Pavel, Martin Zalesak, and Lubomir Klimes. "The Influence of the Phase Change Temperature Range and the Phase Change Hysteresis of a PCM on the Performance of an Air-PCM Heat Storage Unit." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-10438.

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Abstract The influence of the phase change temperature range and the hysteresis of the enthalpy-temperature relationship h(T) of PCMs on the performance of thermal energy storage (TES) systems is rarely quantified. In the present study, the quantification is done by the comparison of the amounts of heat stored in (and discharged from) the air-PCM heat exchanger (TES unit) operating between constant air temperatures. All simulations were conducted for the same mean phase change temperature of the PCM (30 °C). The inlet air temperature of the air-PCM HEX was 40 °C during the heat charging period
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Zhang, Jun, Emmanuelle Merced, Nelson Sepúlveda, and Xiaobo Tan. "Modeling of Non-Monotonic Hysteresis Behavior in VO2-Coated Microactuators." In ASME 2012 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/smasis2012-7940.

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Vanadium dioxide (VO2) undergoes a thermally induced solid-to-solid phase transition. A VO2-coated silicon cantilever demonstrates large change in its bending curvature across its phase transition. Due to phase transition and thermal expansion effects, the curvature – temperature hysteresis in VO2 actuators comes with a non-monotonic hysteretic behavior, introducing new challenges in its modeling. Motivated by the underlying physics, in this paper we present a novel model that combines a monotonic Preisach hysteresis operator with a linear operator. A constrained least square scheme is propose
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Feng, Fan, Yangyang Fu, Zhiyao Yang, and Zheng O’Neill. "Enhancement of Energyplus Phase Change Material Hysteresis Model to Simulate Grid-Interactive Efficient Buildings." In 2023 ASHRAE Winter Conference. ASHRAE, 2023. http://dx.doi.org/10.63044/w23fen88.

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Chen, Bo Su, and Putcha Venkateswarlu. "Optical bistability and hysteresis with a photorefractive self-pumped ring phase conjugate resonator." In OSA Annual Meeting. Optica Publishing Group, 1992. http://dx.doi.org/10.1364/oam.1992.wq6.

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Optical bistability and hysteresis in BaTiO3 have been observed in a self-pumped ring resonator (SPRR). The SPRR can be controlled with an additional He–Ne laser erasing beam that makes an angle with the ring pump beam. The erasing beam could be coherent or incoherent with the pump beam. By injecting the erasing beam into the crystal in such a way as to partially erase the index grating and/or take energy from the pump beam, the coupling strength is modified. In either case, the output of the ring shows bistability and hystersis in the complete cycle of the on-off-on operation by monitoring th
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Zálešák, Martin, Pavel Charvát, Lubomír Klimeš, Ondřej Pech, and Patrik Bouchal. "Thermal Behavior of PCMs During Phase Transitions With Phase Change Hysteresis: Experimental Setup Development and Problems of Model Validation." In ASME 2023 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/imece2023-113269.

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Abstract Various models and approaches for phase transitions of phase change materials (PCMs) have been proposed in recent years. However, many of these models lack validation with experimental data, particularly the models for phase change hysteresis (PCH) and incomplete (partial) phase transitions. To address this issue, an experimental setup was designed, assembled and tested for potential validation of numerical models. The experiments involve monitoring of the heat flux and the temperature distribution in a PCM contained in a rectangular cavity with a heated/cooled wall. Peltier cells are
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Bre, Facundo, Ignacio Peralta, Antonio Caggiano, and Eduardus Koenders. "IMPACT OF MODELLING THE HYSTERESIS PHENOMENO N OF PHASE CHANGE MATERIALS ON THE BUILDING PERFORMANCE SIMULATION." In BauSim Conference 2022. IBPSA-Germany and Austria, 2022. http://dx.doi.org/10.26868/29761662.2022.9.

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Sandy, Khoury, Maatouk Chantal, El Khoury Khalil, and Khatounian Flavia. "Examination and optimization of the design parameters for the thermal hysteresis phenomenon of the phase change material." In 2021 IEEE 3rd International Multidisciplinary Conference on Engineering Technology (IMCET). IEEE, 2021. http://dx.doi.org/10.1109/imcet53404.2021.9665566.

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Barz, Tilman, Aurelien Bres, and Johann Emhofer. "slPCMlib: A Modelica library for the prediction of effective thermal material properties of solid/liquid phase change materials (PCM)." In Asian Modelica Conference 2022, Tokyo, Japan, November 24-25, 2022. Linköping University Electronic Press, 2022. http://dx.doi.org/10.3384/ecp19356.

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slPCMlib predicts the effective thermal properties of solid/liquid phase change materials (PCM) showing a non-isothermal phase transition behavior. The effective properties are valid over the PCM functional temperature range where latent heat is absorbed and released. Different phenomenological phase transition models are implemented to account for temperature shifts in latent transition changes, e.g. due to multi-step transitions and thermal hysteresis. The library currently contains generic PCM and specific commercial paraffin-based and hydrated salt-based PCM (media). Its purpose is the ana
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Reports on the topic "Phase change hysteresis"

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Lui, Rui, Cheng Zhu, John Schmalzel, et al. Experimental and numerical analyses of soil electrical resistivity under subfreezing conditions. Engineer Research and Development Center (U.S.), 2024. http://dx.doi.org/10.21079/11681/48430.

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The engineering behavior of frozen soils is critical to the serviceability of civil infrastructure in cold regions. Among various geophysical techniques, electrical resistivity imaging is a promising technique that is cost effective and provides spatially continuous subsurface information. In this study, under freeze–thaw conditions, we carry out lab–scale 1D electrical resistivity measurements on frost–susceptible soils with varying water content and bulk density properties. We use a portable electrical resistivity meter for temporal electrical resistivity measurements and thermocouples for t
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Bos, R. J., T. N. Dey, and J. C. Boettger. Influence of the hysteretic phase change in granite on seismic and hydrodynamic coupling of nuclear explosions. Office of Scientific and Technical Information (OSTI), 1994. http://dx.doi.org/10.2172/10118226.

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Kinikles, Dellena, and John McCartney. Hyperbolic Hydro-mechanical Model for Seismic Compression Prediction of Unsaturated Soils in the Funicular Regime. Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, 2022. http://dx.doi.org/10.55461/yunw7668.

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A semi-empirical elasto-plastic constitutive model with a hyperbolic stress-strain curve was developed with the goal of predicting the seismic compression of unsaturated sands in the funicular regime of the soil-water retention curve (SWRC) during undrained cyclic shearing. Using a flow rule derived from energy considerations, the evolution in plastic volumetric strain (seismic compression) was predicted from the plastic shear strains of the hysteretic hyperbolic stress-strain curve. The plastic volumetric strains are used to predict the changes in degree of saturation from phase relationships
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