Critical-State Fractional Model and Its Numerical Scheme for Isotropic Granular Soil Considering State Dependence

2019 ◽  
Vol 19 (3) ◽  
pp. 04019001 ◽  
Author(s):  
Yifei Sun ◽  
Yufeng Gao ◽  
Cheng Chen
Keyword(s):  
Critical State ◽  
Numerical Scheme ◽  
State Dependence ◽  
Granular Soil ◽  
Fractional Model

Unstable behaviour of sand and its implication for slope instability

2003 ◽  
Vol 40 (5) ◽  
pp. 873-885 ◽  
Author(s):  
J Chu ◽  
S Leroueil ◽  
W K Leong
Keyword(s):  
Shear Stress ◽  
Shear Strength ◽  
Critical State ◽  
Laboratory Tests ◽  
State Parameter ◽  
Slope Instability ◽  
Granular Soil ◽  
Dense Sand ◽  
Soil Slopes ◽  
New Framework

Results of some constant shear-drained (CSD) tests conducted on both loose and dense sand are presented. Using the critical state line and a modified state parameter, a new framework for analysing the instability of granular soil slopes is proposed. The test data were examined and interpreted using the new framework. Instability lines for sand with different void ratios were established within this framework. The conditions for the occurrence of instability in both contractive and dilative granular soil slopes under various shear stress levels were examined using the proposed framework.Key words: deformation, laboratory tests, liquefaction, sands, shear strength, slope stability.

FEATURES OF SEEPAGE OF A LIQUID TO A CHINK IN THE CRACKED DEFORMABLE LAYER

2010 ◽  
Vol 01 (03) ◽  
pp. 333-347 ◽  
Author(s):  
T. S. ALEROEV ◽  
H. T. ALEROEVA ◽  
JIANFEI HUANG ◽  
NINGMING NIE ◽  
YIFA TANG ◽  
...  
Keyword(s):  
Differential Equation ◽  
Initial Value Problem ◽  
Numerical Scheme ◽  
Variable Coefficients ◽  
Initial Value ◽  
Nonlinear Fractional Differential Equation ◽  
Fractional Model ◽  
New Model ◽  
Whole Process ◽  
Fractional Differential

We establish a new model for seepage of a liquid to a chink in the cracked deformable layer, an initial value problem of nonlinear fractional differential equation with variable coefficients, then design a numerical scheme of order 2 to solve this initial value problem. This new model theoretically explains the operating thickness H of a layer depending on the values of pressure gradient on the whole chink rather than on one point, which is practiced by a large amount of data. Compared with the Dontsov equation, our fractional model considers more aspects of the whole process. The earlier rejected results can also be considered in the display lines of the fractional model.

scholarly journals An efficient numerical scheme for fractional model of telegraph equation

2021 ◽  
Author(s):  
M.S. Hashmi ◽  
Urfa Aslam ◽  
Jagdev Singh ◽  
Kottakkaran Sooppy Nisar
Keyword(s):  
Numerical Scheme ◽  
Telegraph Equation ◽  
Fractional Model

scholarly journals An efficient numerical scheme for fractional model of HIV-1 infection of CD4+ T-cells with the effect of antiviral drug therapy

2020 ◽  
Vol 59 (4) ◽  
pp. 2053-2064 ◽  
Author(s):  
Sunil Kumar ◽  
Ranbir Kumar ◽  
Jagdev Singh ◽  
K.S. Nisar ◽  
Devendra Kumar
Keyword(s):  
T Cells ◽  
Drug Therapy ◽  
Cd4 T Cells ◽  
Numerical Scheme ◽  
Antiviral Drug ◽  
Fractional Model ◽  
Hiv 1

scholarly journals A reliable numerical algorithm for a fractional model of Fitzhugh-Nagumo equation arising in the transmission of nerve impulses

2019 ◽  
Vol 8 (1) ◽  
pp. 719-727 ◽  
Author(s):  
Amit Prakash ◽  
Hardish Kaur
Keyword(s):  
Error Analysis ◽  
Laplace Transform ◽  
Perturbation Method ◽  
Numerical Algorithm ◽  
Numerical Scheme ◽  
Homotopy Perturbation Method ◽  
Fractional Model ◽  
Homotopy Perturbation ◽  
Nagumo Equation ◽  
Homotopy Polynomials

Abstract The key objective of this paper is to study the fractional model of Fitzhugh-Nagumo equation (FNE) with a reliable computationally effective numerical scheme, which is compilation of homotopy perturbation method with Laplace transform approach. Homotopy polynomials are employed to simplify the nonlinear terms. The convergence and error analysis of the proposed technique are presented. Numerical outcomes are shown graphically to prove the efficiency of proposed scheme.

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