Fractional elastoplastic constitutive model for soils based on a novel 3D fractional plastic flow rule
A novel three-dimensional (3D) fractional plastic flow rule that is not limited by the
coordinate basis of the differentiable function is proposed based on the fractional derivative …
coordinate basis of the differentiable function is proposed based on the fractional derivative …
Characterizing the creep of viscoelastic materials by fractal derivative models
In this paper, we make the first attempt to apply the fractal derivative to modeling viscoelastic
behavior. The methodology of scaling transformation is utilized to obtain the creep modulus …
behavior. The methodology of scaling transformation is utilized to obtain the creep modulus …
Visco-elastic dampers in structural buildings and numerical solution with spline collocation methods
The dynamic system of a structure utilized with visco-elastic dampers can be modeled by
fractional differential equations. All the resulted systems of fractional differential equations …
fractional differential equations. All the resulted systems of fractional differential equations …
Spline collocation methods for seismic analysis of multiple degree of freedom systems with visco-elastic dampers using fractional models
E Dadkhah Khiabani, H Ghaffarzadeh… - Journal of Vibration …, 2020 - journals.sagepub.com
The visco-elastic dampers can be economically designed for response reduction of
dynamical systems. Recent developments in fractional calculus have affected the modeling …
dynamical systems. Recent developments in fractional calculus have affected the modeling …
The finite element implementation of 3D fractional viscoelastic constitutive models
The aim of this paper is to present the implementation of 3D fractional viscoelastic
constitutive theory presented in Alotta et al., 2016 [1]. Fractional viscoelastic models exactly …
constitutive theory presented in Alotta et al., 2016 [1]. Fractional viscoelastic models exactly …
Modeling the mechanical behavior of rock during plastic flow using fractional calculus theory
TC Kamdem, KG Richard, T Béda - Applied Mathematical Modelling, 2024 - Elsevier
A thorough understanding of the evolution of strain and damage accumulation is a
prerequisite for effective control of the surrounding rock to ensure good stability and better …
prerequisite for effective control of the surrounding rock to ensure good stability and better …
On fractional backward differential formulas for fractional delay differential equations with periodic and anti-periodic conditions
In this paper, fractional backward differential formulas (FBDF) are presented for the
numerical solution of fractional delay differential equations (FDDEs) of the form λ n 0 CD t α …
numerical solution of fractional delay differential equations (FDDEs) of the form λ n 0 CD t α …
Modeling approach to capture hyperelasticity and temporary bonds in soft polymer networks
C Bennett, PJ Hayes, CJ Thrasher, P Chakma… - …, 2022 - ACS Publications
Hyperelastic models developed by Gent, Ogden, and Dobrynin are modified to include a
strain rate-dependent element. This strain rate dependence accounts for the breaking of …
strain rate-dependent element. This strain rate dependence accounts for the breaking of …
Frequency domain identification of the fractional Kelvin-Voigt's parameters for viscoelastic materials
In this work, a new innovative method is used to identify the parameters of fractional Kelvin-
Voigt constitutive equation. These parameters are: the order of fractional derivation operator …
Voigt constitutive equation. These parameters are: the order of fractional derivation operator …
Stress analysis of adhesively-bonded single stepped-lap joints based on three-parameter fractional viscoelastic foundation model
M Veisytabar, A Reza… - Proceedings of the …, 2022 - journals.sagepub.com
This paper aims to develop a viscoelastic analytical model for adhesively bonded single
stepped-lap joints subjected to tensile loading. The adherends are aluminum alloy A6063 …
stepped-lap joints subjected to tensile loading. The adherends are aluminum alloy A6063 …