A fractional nonlocal time-space viscoelasticity theory and its applications in structural dynamics
From MaRDI portal
Publication:2183039
DOI10.1016/j.apm.2020.03.048zbMath1481.74099OpenAlexW3015652360WikidataQ110944230 ScholiaQ110944230MaRDI QIDQ2183039
Publication date: 26 May 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2020.03.048
viscoelasticitystructural dynamicsfractional-order equationenergy dispassionnonlocal space-time theory
Linear constitutive equations for materials with memory (74D05) PDEs in connection with mechanics of deformable solids (35Q74) Fractional partial differential equations (35R11) Applications of fractional calculus in solid mechanics (74S40)
Related Items
A nonlocal surface theory for surface-bulk interactions and its application to mechanics of nanobeams ⋮ Vibration analysis of the rotating multilayer piezoelectric Timoshenko nanobeam ⋮ Free vibration of thermo-elastic microplate based on spatiotemporal fractional-order derivatives with nonlocal characteristic length and time ⋮ Wave propagation analysis in functionally graded metal foam plates with nanopores ⋮ The strain gradient-based torsional vibration analysis of micro-rotors with nonlinear flexural-torsional coupling ⋮ General nonlocal Kelvin-Voigt viscoelasticity: application to wave propagation in viscoelastic media
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
- Dynamic finite element analysis of axially vibrating nonlocal rods
- Nonlocal theories for bending, buckling and vibration of beams
- Nonlocal shell model for elastic wave propagation in single- and double-walled carbon nanotubes
- Effect of thermal properties of a solid on the velocity of Rayleigh waves
- Generalized Taylor's formula
- Non-local continuum mechanics and fractional calculus
- Generalized wave equation in nonlocal elasticity
- Buckling analysis of size-dependent nonlinear beams based on a nonlocal strain gradient theory
- Closed form solution for a nonlocal strain gradient rod in tension
- On vibrations of nonlocal rods: boundary conditions, exact solutions and their asymptotics
- The effect of thickness on the mechanics of nanobeams
- A review on the mechanics of nanostructures
- Free vibration analysis of nonlocal strain gradient beams made of functionally graded material
- Nonlocal elasticity in nanobeams: the stress-driven integral model
- Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theory
- A fractional model of continuum mechanics
- Exact discretization by Fourier transforms
- A unified theory of thermomechanical materials
- Nonlocal Continuum Field Theories
- Ultrasonic Attenuation by Electrons in Metals
- Elastic strain engineering for ultralow mechanical dissipation
