Blow-up and global existence for a general class of nonlocal nonlinear coupled wave equations [PDF]
, 2010 We study the initial-value problem for a general class of nonlinear nonlocal coupled wave equations. The problem involves convolution operators with kernel functions whose Fourier transforms are nonnegative.
A. Erkip +20 more
core +3 more sources
Applied SciencesIn nonlocal elasticity, the constitutive equation for the stress tensor is written in an integral form, with the weight function, referred to as the nonlocality kernel, often being the Green’s function for the partial differential equation. In this paper,
Yuriy Povstenko +4 more
doaj +1 more source
Wave propagation characteristics in nanoporous metal foam nanobeams
Results in Physics, 2019 This research is devoted to the wave propagation characteristics analysis of nanobeams made of nanoporous metal foams. Three nanoporosity distribution models, namely, symmetry, asymmetry and uniform distributions, are taken into account.
Yan Qing Wang, Chen Liang
doaj +1 more source
Extension the Noether's theorem to Lagrangian formulation with nonlocality
, 2012 A Lagrangian formulation with nonlocality is investigated in this paper. The nonlocality of the Lagrangian is introduced by a new nonlocal argument that is defined as a nonlocal residual satisfying the zero mean condition.
Atkinson C. +3 more
core +1 more source
On formulation of nonlocal elasticity problems
Meccanica, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Giovanni Romano, Marina Diaco
openaire +3 more sources
Latin American Journal of Solids and StructuresIn the present paper, a critique study on some models available in the literature for bending analysis of nano-beams using the gradient elasticity theory is accomplished.
Mahmood Mehrdad Shokrieh, Iman Zibaei
doaj +1 more source
Exact analytical approach for free longitudinal vibration of nanorods based on nonlocal elasticity theory from wave standpoint [PDF]
Journal of Theoretical and Applied Vibration and Acoustics, 2017 In this paper, free longitudinal vibration of nanorods is investigated from the wave viewpoint. The Eringen’s nonlocal elasticity theory is used for nanorods modelling.
Mohammad Reza Hairi Yazdi +2 more
doaj +1 more source
Free Vibrations Analysis of Functionally Graded Rectangular Nano-plates based on Nonlocal Exponential Shear Deformation Theory [PDF]
Mechanics of Advanced Composite Structures, 2015 In the present study the free vibration analysis of the functionally graded rectangular nanoplates is investigated. The nonlocal elasticity theory based on the exponential shear deformation theory has been used to obtain the natural frequencies of the ...
Korosh Khorshidi +2 more
doaj +1 more source
Spatial dispersion of elastic waves in a bar characterized by tempered nonlocal elasticity
, 2016 We apply the framework of tempered fractional calculus to investigate the spatial dispersion of elastic waves in a one-dimensional elastic bar characterized by range-dependent nonlocal interactions.
Holm, Sverre +2 more
core +1 more source
Nonlocal elastic metasurfaces: Enabling broadband wave control via intentional nonlocality [PDF]
Proceedings of the National Academy of Sciences, 2020 Significance The practical application of passive elastic metasurfaces is severely hindered by its intrinsic narrow-band performance due to the underlying locally resonant nature. In this study, we present the concept of “intentional nonlocality” as the fundamental mechanism to design broadband elastic metasurfaces for the control of stress ...
Hongfei Zhu +4 more
openaire +3 more sources