The Attractors of Fuzzy Super Iterated Function Systems

Prasad, Bhagwati; Katiyar, Kuldip

doi:10.17485/ijst/2017/v10i28/90453

Cited by 5 publications

(2 citation statements)

References 21 publications

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“…The relationship is given by The h value can reflect the hot-processing performance of the materials to a certain extent, However, a higher h value is not necessarily good, it is also related to the instability region. To judge the instability of materials, Prasad et al [22] proposed the inequality criterion for plastic instability as follows:…”

Section: Establishment and Analysis Of The Hot-processing Mapmentioning

confidence: 99%

Hot deformation behavior and processing map of ultrafine-grained pure zirconium refined by compounding

Han

Zhu

et al. 2020

Mater. Res. Express

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An ultrafine-grained (UFG) pure zirconium(Zr) refined by compounding with a size of Φ4×6 mm was subjected to a unidirectional compression test using a Gellble-3800 thermal simulation tester at the temperature of 300°C-450°C and a strain rate range of 0.001-0.05 s −1 . Experimental results showed that the flow stress of UFG pure Zr refined by compounding is highly sensitive to temperature and strain rate, and the peak stress decreases with increase in deformation temperature and increases with increase in strain rate. The Arrhenius constitutive equation based on the experimental data can effectively predict peak stress in actual thermal deformation, The correlation coefficient between the actual value and the predicted value can reach as high as 0.99722. With the increase in deformation temperature and the decrease in strain rate, the UFG pure Zr refined by compounding otably undergoes dynamic recovery and dynamic recrystallization. These findings are based on the hot processing map and microstructure characteristics of UFG pure Zr refined by compounding. The optimal hot-working windows are determined to be in the deformation temperature of 320°C-360°C with strain rate of 0.005-0.01 s −1 and the deformation temperature of 410-450°C with strain rate of 0.003-0.01 s −1 .

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Section: Establishment and Analysis Of The Hot-processing Mapmentioning

confidence: 99%

Hot deformation behavior and processing map of ultrafine-grained pure zirconium refined by compounding

Han

Zhu

et al. 2020

Mater. Res. Express

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show abstract

“…Hutchinson's IFS theory has massively expanded for more generalized spaces and generalized contractions, and extended to infinite IFS and multifunction systems to generate general types of fractal sets with the distinguished dimensional measures [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. Hata [32] used condition functions to create IFS.…”

Section: Introductionmentioning

confidence: 99%

Fractals via Controlled Fisher Iterated Function System

Thangaraj

Easwaramoorthy

2022

Fractal Fract

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This paper explores the generalization of the fixed-point theorem for Fisher contraction on controlled metric space. The controlled metric space and Fisher contractions are playing a very crucial role in this research. The Fisher contraction on the controlled metric space is used in this paper to generate a new type of fractal set called controlled Fisher fractals (CF-Fractals) by constructing a system named the controlled Fisher iterated function system (CF-IFS). Furthermore, the interesting results and consequences of the controlled Fisher iterated function system and controlled Fisher fractals are demonstrated. In addition, the collage theorem on controlled Fisher fractals is established as well. The newly developing IFS and fractal set in the controlled metric space can provide the novel directions in the fractal theory.

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Fractals via Self-Similar Group of Fisher Contractions

Thangaraj,

Easwaramoorthy

2023

Trends in Mathematics

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The Attractors of Fuzzy Super Iterated Function Systems

Cited by 5 publications

References 21 publications

Hot deformation behavior and processing map of ultrafine-grained pure zirconium refined by compounding

Hot deformation behavior and processing map of ultrafine-grained pure zirconium refined by compounding

Fractals via Controlled Fisher Iterated Function System

Fractals via Self-Similar Group of Fisher Contractions

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