A novel approach to nonlinear variable-order fractional viscoelasticity
DOI10.1098/RSTA.2019.0296zbMath1462.74031OpenAlexW3023166258WikidataQ94598998 ScholiaQ94598998MaRDI QIDQ4994617
Giuseppe Failla, Mario Di Paola, Andrea Burlon, Gioacchino Alotta
Publication date: 20 June 2021
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7287323
mechanicsvariable fractional orderBoltzmann linear superposition principlenonlinear fractional viscoelasticity
Fractional derivatives and integrals (26A33) Nonlinear constitutive equations for materials with memory (74D10)
Related Items (12)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the numerical handling of fractional viscoelastic material models in a FE analysis
- Formulation and integration of the standard linear viscoelastic solid with fractional order rate laws
- Scott-Blair models with time-varying viscosity
- Bending analysis of functionally graded nanobeams based on the fractional nonlocal continuum theory by the variational Legendre spectral collocation method
- Variable order and distributed order fractional operators
- On the stochastic response of a fractionally-damped Duffing oscillator
- Nonlinear viscoelastic solids
- Variable-order fractional description of compression deformation of amorphous glassy polymers
- Step-by-step integration for fractional operators
- Fractional description of time-dependent mechanical property evolution in materials with strain softening behavior
- A non-linear thermo-viscoelastic rheological model based on fractional derivatives for high temperature creep in concrete
- Bending of small-scale Timoshenko beams based on the integral/differential nonlocal-micropolar elasticity theory: a finite element approach
- Non-linear viscoelastic behavior of polymer melts interpreted by fractional viscoelastic model
- On the behavior of a three-dimensional fractional viscoelastic constitutive model
- Studying linear and nonlinear vibrations of fractional viscoelastic Timoshenko micro-/nano-beams using the strain gradient theory
- Nonlinear fractional-order viscoelasticity at large strains
- On the Appearance of the Fractional Derivative in the Behavior of Real Materials
- Generalized viscoelastic models: their fractional equations with solutions
- Mechanics with variable-order differential operators
- The variable viscoelasticity oscillator
- On the Fractional Calculus Model of Viscoelastic Behavior
- Modeling and analysis of fractional neutral disturbance waves in arterial vessels
- A variable order constitutive relation for viscoelasticity
- Fractional-order variational optical flow model for motion estimation
This page was built for publication: A novel approach to nonlinear variable-order fractional viscoelasticity