Generalized wave equation in nonlocal elasticity
From MaRDI portal
Publication:1032080
DOI10.1007/s00707-008-0120-9zbMath1397.74100OpenAlexW1998819932MaRDI QIDQ1032080
Teodor M. Atanacković, Bogoljub Stanković
Publication date: 26 October 2009
Published in: Acta Mechanica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00707-008-0120-9
Bulk waves in solid mechanics (74J10) Fractional derivatives and integrals (26A33) Laplace transform (44A10) Elastic materials (74B99)
Related Items (41)
Spatial dispersion of elastic waves in a bar characterized by tempered nonlocal elasticity ⋮ Plane strain and plane stress elasticity under fractional continuum mechanics ⋮ Fractional Sturm-Liouville problem ⋮ On fractional bending of beams ⋮ Fractional Buffer Layers: Absorbing Boundary Conditions for Wave Propagation ⋮ Complementary variational principles with fractional derivatives ⋮ Fractional Sturm-Liouville eigen-problems: theory and numerical approximation ⋮ Fractional Euler-Bernoulli beams: theory, numerical study and experimental validation ⋮ Mathematical models for nonlocal elastic composite materials ⋮ Unnamed Item ⋮ A nano-scale frictional contact problem incorporating the size dependency and the surface effects ⋮ A fractional nonlocal time-space viscoelasticity theory and its applications in structural dynamics ⋮ Influence of non-local diffusion in avascular tumour growth ⋮ Optimal control of fractional Sturm–Liouville wave equations on a star graph ⋮ Local fractional Fourier series with application to wave equation in fractal vibrating string ⋮ Approximation and application of the Riesz-Caputo fractional derivative of variable order with fixed memory ⋮ Generic bifurcations in fractional thermo‐mechanics with peridyamic effects ⋮ The Cattaneo type space-time fractional heat conduction equation ⋮ Unnamed Item ⋮ Vibration analysis of the rotating multilayer piezoelectric Timoshenko nanobeam ⋮ Optimal control of a fractional diffusion Sturm-Liouville problem on a star graph ⋮ Free vibration of thermo-elastic microplate based on spatiotemporal fractional-order derivatives with nonlocal characteristic length and time ⋮ A space fractional constitutive equation model for non-Newtonian fluid flow ⋮ Existence of solutions for fractional differential inclusions with separated boundary conditions in Banach space ⋮ Spectral problems for fractional differential equations from nonlocal continuum mechanics ⋮ Fractional-order models for the static and dynamic analysis of nonlocal plates ⋮ Application of fractional continuum mechanics to rate independent plasticity ⋮ Porosity and Diffusion in Biological Tissues. Recent Advances and Further Perspectives ⋮ A theoretical analysis of the free axial vibration of non-local rods with fractional continuum mechanics ⋮ Nonlocal elasticity: an approach based on fractional calculus ⋮ Fractional Sturm-Liouville boundary value problems in unbounded domains: theory and applications ⋮ Bending analysis of functionally graded nanobeams based on the fractional nonlocal continuum theory by the variational Legendre spectral collocation method ⋮ Dynamical systems and stability in fractional solid mechanics ⋮ Efficient Hermite Spectral Methods for Space Tempered Fractional Diffusion Equations ⋮ Hereditariness and non-locality in wave propagation modeling ⋮ Energy dissipation for hereditary and energy conservation for non-local fractional wave equations ⋮ Fractional differential equations and Volterra-Stieltjes integral equations of the second kind ⋮ On finite fractional Sturm–Liouville transforms ⋮ Dynamic stability and bifurcation analysis in fractional thermodynamics ⋮ Eigenvalue problems of the model from nonlocal continuum mechanics ⋮ Tempered Fractional Sturm--Liouville EigenProblems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Théorie des distributions à valeurs vectorielles
- Non-local continuum mechanics and fractional calculus
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fractional sequential mechanics - models with symmetric fractional derivative.
- COMPLEX FOURIER--BESSEL TRANSFORMS
This page was built for publication: Generalized wave equation in nonlocal elasticity
