Euler–Bernoulli elastic beam models of Eringen’s differential nonlocal type revisited within a $$\mathbf{C }^{0}-$$continuous displacement framework
Sign Up to like & getrecommendations! Published in 2021 at "Meccanica"
DOI: 10.1007/s11012-021-01361-z
Abstract: A theory of the Erigen’s differential nonlocal beams of (isotropic) elastic material is prospected independent of the original integral formulation. The beam problem is addressed within a $$C^{(0)}-$$ continuous displacement framework admitting slope discontinuities of… read more here.
Keywords: differential nonlocal; displacement framework; beam; euler bernoulli ... See more keywords
Integro-differential nonlocal theory of elasticity
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Engineering Science"
DOI: 10.1016/j.ijengsci.2018.04.007
Abstract: Abstract The second-order integro-differential nonlocal theory of elasticity is established as an extension of the Eringen nonlocal integral model. The present research introduces an appropriate thermodynamically consistent model allowing for the higher-order strain gradient effects… read more here.
Keywords: theory elasticity; nonlocal theory; differential nonlocal; integro differential ... See more keywords
Systems of Sequential ψ1-Hilfer and ψ2-Caputo Fractional Differential Equations with Fractional Integro-Differential Nonlocal Boundary Conditions
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15030680
Abstract: In this paper, we introduce and study a new class of coupled and uncoupled systems, consisting of mixed-type ψ1-Hilfer and ψ2-Caputo fractional differential equations supplemented with asymmetric and symmetric integro-differential nonlocal boundary conditions (systems (2)… read more here.
Keywords: integro differential; hilfer caputo; fractional differential; differential equations ... See more keywords