A generalized model for the uniaxial isothermal deformation of a viscoelastic body
From MaRDI portal
Publication:1887516
DOI10.1007/BF01171449zbMath1089.74015OpenAlexW2319762022MaRDI QIDQ1887516
Publication date: 19 November 2004
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01171449
Fractional derivatives and integrals (26A33) Linear constitutive equations for materials with memory (74D05)
Related Items
Forced oscillations of a body attached to a viscoelastic rod of fractional derivative type ⋮ Numerical solution of distributed order fractional differential equations by hybrid functions ⋮ Viscous nonlinearity in central difference and Newmark integration schemes ⋮ A Legendre collocation method for distributed-order fractional optimal control problems ⋮ Numerical solutions of differential equations with fractional L-derivative ⋮ Numerical solution of distributed order fractional differential equations ⋮ On a new class of constitutive equations for linear viscoelastic body ⋮ On a nonlinear distributed order fractional differential equation ⋮ Existence, uniqueness, and approximate solutions for the general nonlinear distributed-order fractional differential equations in a Banach space ⋮ Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod ⋮ Stability of fully discrete schemes with interpolation-type fractional formulas for distributed-order subdiffusion equations ⋮ A novel operational vector for solving the general form of distributed order fractional differential equations in the time domain based on the second kind Chebyshev wavelets ⋮ A semi-linear delayed diffusion-wave system with distributed order in time ⋮ A computational method based on Legendre wavelets for solving distributed order fractional diffrential equations ⋮ Solving of partial differential equations with distributed order in time using fractional-order Bernoulli-Legendre functions ⋮ Chebyshev cardinal polynomials for delay distributed-order fractional fourth-order sub-diffusion equation ⋮ Optimal control of a class of fractional heat diffusion systems ⋮ Collocation method based on Chebyshev polynomials for solving distributed order fractional differential equations ⋮ An improved numerical technique for distributed‐order time‐fractional diffusion equations ⋮ Numerical solutions of distributed order fractional differential equations in the time domain using the Müntz–Legendre wavelets approach ⋮ Modified methods for solving two classes of distributed order linear fractional differential equations ⋮ A numerical method for finding solution of the distributed‐order time‐fractional forced Korteweg–de Vries equation including the Caputo fractional derivative ⋮ A generalised distributed‐order Maxwell model ⋮ Local analysis of L1-finite difference method on graded meshes for multi-term two-dimensional time-fractional initial-boundary value problem with Neumann boundary conditions ⋮ Numerical solution of distributed-order fractional 2D optimal control problems using the Bernstein polynomials ⋮ A Legendre spectral-finite difference method for Caputo-Fabrizio time-fractional distributed-order diffusion equation ⋮ A generalized fractional-order Chebyshev wavelet method for two-dimensional distributed-order fractional differential equations ⋮ Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod ⋮ A numerical method based on fractional-order generalized Taylor wavelets for solving distributed-order fractional partial differential equations ⋮ The slip flow of generalized Maxwell fluids with time-distributed characteristics in a rotating microchannel ⋮ Numerical simulation of multi-dimensional distributed-order generalized Schrödinger equations ⋮ On a class of non-linear delay distributed order fractional diffusion equations ⋮ Semilinear ordinary differential equation coupled with distributed order fractional differential equation ⋮ Multi-dimensional spectral tau methods for distributed-order fractional diffusion equations ⋮ On the formulation and numerical simulation of distributed-order fractional optimal control problems ⋮ An improved composite collocation method for distributed-order fractional differential equations based on fractional Chelyshkov wavelets ⋮ A novel Legendre operational matrix for distributed order fractional differential equations ⋮ On Hamilton's principle for discrete and continuous systems: a convolved action principle ⋮ An RBF based meshless method for the distributed order time fractional advection-diffusion equation ⋮ Distributional framework for solving fractional differential equations ⋮ Temporal second-order difference methods for solving multi-term time fractional mixed diffusion and wave equations ⋮ Legendre wavelets approach for numerical solutions of distributed order fractional differential equations ⋮ Error analysis of the Legendre-Gauss collocation methods for the nonlinear distributed-order fractional differential equation ⋮ Existence and optimal controls for Hilfer fractional Sobolev-type stochastic evolution equations ⋮ Stokes' second problem of viscoelastic fluids with constitutive equation of distributed-order derivative ⋮ A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation ⋮ Distributed-order time-fractional wave equations
Cites Work
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- On the thermodynamics of fractional damping elements
- A modified Zener model of a viscoelastic body
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- ANALYSIS OF FOUR-PARAMETER FRACTIONAL DERIVATIVE MODEL OF REAL SOLID MATERIALS
- Fractional calculus in the transient analysis of viscoelastically damped structures
- Dynamics of a Viscoelastic Rod of Fractional Derivative Type
- On the Fractional Calculus Model of Viscoelastic Behavior
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A generalized model for the uniaxial isothermal deformation of a viscoelastic body
