Effect of integrating memory on the performance of the fractional plasticity model for geomaterials

Sun, Yifei; Gao, Yufeng; Song, Shunxiang

doi:10.1007/s10409-018-0777-9

Cited by 13 publications

(5 citation statements)

References 19 publications

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“…The ghost attractor of fractional order averaged system is shown in Fig. (13). For fast switching time, Fig.…”

Section: Casementioning

confidence: 98%

“…The essential reason is that fractional derivative possesses hereditary properties and can mimic memory effects in some nonlinear systems [2]. So, fractional order differential equations have successfully modeled many real applications, such as neural networks [3,4], biological systems [5,6], financial systems [7,8], secure communications [9], electronic circuit models [10,11,12], nonlinear mechanical problems [13,14] and many more. Fractional order switched system which includes switching parameter based on logical rule has recently drawn the attention of several researchers [15,16].…”

Section: Introductionmentioning

confidence: 99%

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Ghost Attractor in Fractional Order Blinking System and its Application

Kamal

Elsaid

Elsonbaty

2021

Preprint

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In this paper, the occurrence of ghost attractor is verified in three cases of a proposed fractional order Rössler blinking system. Firstly, the dynamical behaviors of the short memory fractional order prototype-4 Rössler system with Chua’s diode are explored via bifurcation diagrams and Lyapunov exponents. It is depicted that this system exhibits a variety of dynamics including limit cycles, period doubling and chaos. Then, a proposed non-autonomous fractional order Rössler blinking system is introduced. Numerical simulations are employed to confirm the existence of ghost attractors at specific cases which involve very fast switching time between two composing autonomous fractional subsystems. It is found that the presented fractional order blinking system is very sensitive to system parameters, initial conditions and stochastic process parameters. Thus, the induced chaotic ghost attractor is utilized in a suggested ghost attractor-based chaotic image encryption scheme for first time. Finally, a detailed security analysis is carried out and reveals that the proposed image cryptosystem is immune against different types of attacks such as differential attacks, brute force attacks, cropping and statistical attacks.

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“…The ghost attractor of fractional order averaged system is shown in Fig. (13). For fast switching time, Fig.…”

Section: Casementioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Ghost Attractor in Fractional Order Blinking System and its Application

Kamal

Elsaid

Elsonbaty

2021

Preprint

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“…As indicated by Equation ( 3 ), compared with the previous works [ 30 , 31 ], the SLS is characterized by the length from current stress state to the reference stress state. Sun et al [ 32 ] pointed out that in geotechnical engineering if one took the consolidation pressure instead of the zero-stress state as the initial stress state (

), the developed model could predict a higher strain. However, this prediction difference could be reduced by tuning the values of some model parameters.…”

Section: Progress In Fpmentioning

confidence: 99%

Review on Stress-Fractional Plasticity Models

Sun

Sumelka

2022

Materials

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Fractional calculus plays an increasingly important role in mechanics research. This review investigates the progress of an interdisciplinary approach, fractional plasticity (FP), based on fractional derivative and classic plasticity since FP was proposed as an efficient alternative to modelling state-dependent nonassociativity without an additional plastic potential function. Firstly, the stress length scale (SLS) is defined to conduct fractional differential, which influences the direction and intensity of the nonassociated flow of geomaterials owing to the integral definition of the fractional operator. Based on the role of SLS, two branches of FP, respectively considering the past stress and future reference critical state can be developed. Merits and demerits of these approaches are then discussed, which leads to the definition of the third branch of FP, by considering the influences of both past and future stress states. In addition, some specific cases and potential applications of the third branch can be realised when specific SLS are adopted.

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“…However, structure damage or collapse of high-rise buildings caused by earthquake always results in serious consequences. Ultra-high-strength concrete (UHSC) is becoming more and more popular around the world due to many advantages over normalstrength concrete (NSC) in high-rise buildings and larger-span bridges (Ellobody and Young, 2011;Nie et al, 2010;Sun et al, 2018aSun et al, , 2018bZhang and Jia, 2016). Moreover, UHSC structural columns are particularly prominent for the possibilities of increased loadcarrying capacities and stiffness.…”

Section: Introductionmentioning

confidence: 99%

Seismic behaviour of steel-reinforced ultra-high-strength concrete composite frame: Experimental study

Zhang

Jia

Jing

et al. 2019

Advances in Structural Engineering

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This article provides the results of an experimental study on the seismic behaviour of the steel-reinforced ultra-high-strength concrete frame. A two-bay and three-story one-fourth scale steel-reinforced ultra-high-strength concrete frame specimen was tested under simulated earthquake loading conditions. The seismic behaviours of the specimen, including the failure mode, concrete element cracks development, hysteresis loops, lateral load-carrying capacity, ductility, energy dissipation, strength and stiffness degradation, were investigated under low reversed cyclic lateral loading. The test results showed that the beam hinge failure mechanism of the steel-reinforced ultra-high-strength concrete frame was achieved. The steel-reinforced ultra-high-strength concrete frame would have rich and stable hysteretic loops when subjected to large axial load with an axial load ratio of 0.38. The roof and interstory ductility coefficients of the steel-reinforced ultra-high-strength concrete frame ranged from 5.06 to 6.78. The strength and stiffness degenerated gradually, indicating an excellent seismic behaviour of the steel-reinforced ultra-high-strength concrete frame with sufficient ductility and high energy dissipation capacity. The test and analysis results can be served as a design reference for practical engineering applications.

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Effect of integrating memory on the performance of the fractional plasticity model for geomaterials

Cited by 13 publications

References 19 publications

Ghost Attractor in Fractional Order Blinking System and its Application

Ghost Attractor in Fractional Order Blinking System and its Application

Review on Stress-Fractional Plasticity Models

Seismic behaviour of steel-reinforced ultra-high-strength concrete composite frame: Experimental study

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