On nonconservativeness of Eringen's nonlocal elasticity in beam mechanics: correction from a discrete-based approach
In this paper, the self-adjointness of Eringen's nonlocal elasticity is investigated based on
simple one-dimensional beam models. It is shown that Eringen's model may be nonself …
simple one-dimensional beam models. It is shown that Eringen's model may be nonself …
[BOOK][B] Fractional dynamics on networks and lattices
This book analyzes stochastic processes on networks and regular structures such as lattices
by employing the Markovian random walk approach. Part 1 is devoted to the study of local …
by employing the Markovian random walk approach. Part 1 is devoted to the study of local …
Dispersive propagation of localized waves in a mass-in-mass metamaterial lattice
Linear localized waves evolution in a discrete mass-in-mass lattice is studied. The presence
of the attached mass in the model contributes to dispersion giving rise to appearance of both …
of the attached mass in the model contributes to dispersion giving rise to appearance of both …
Random walks with long-range steps generated by functions of Laplacian matrices
In this paper, we explore different Markovian random walk strategies on networks with
transition probabilities between nodes defined in terms of functions of the Laplacian matrix …
transition probabilities between nodes defined in terms of functions of the Laplacian matrix …
Fractional random walk lattice dynamics
We analyze time-discrete and time-continuous' fractional'random walks on undirected
regular networks with special focus on cubic periodic lattices in n= 1, 2, 3,.. dimensions. The …
regular networks with special focus on cubic periodic lattices in n= 1, 2, 3,.. dimensions. The …
Continuum model of acoustic metamaterials with diatomic crystal lattice
Y Zhou, P Wei, Y Li, Q Tang - Mechanics of Advanced Materials …, 2017 - Taylor & Francis
The continuum model of one-dimensional acoustic metamaterial with diatomic crystal lattice
is studied in this article. First, the dispersive relation of lattice wave in one-dimensional …
is studied in this article. First, the dispersive relation of lattice wave in one-dimensional …
On the fundamental solution of the heat transfer problem in one-dimensional harmonic crystals
The work is devoted to the description of unsteady thermal processes in low-dimensional
structures. To obtain the relationship between the microscopic and macroscopic descriptions …
structures. To obtain the relationship between the microscopic and macroscopic descriptions …
Two-dimensional waves in extended square lattice
We consider a two-dimensional square lattice model extended by additional not closed
neighboring interactions. We assume the elastic forces between the masses in the lattice to …
neighboring interactions. We assume the elastic forces between the masses in the lattice to …
Non-linear plane waves in materials having hexagonal internal structure
Three different continuum limits for modeling non-linear plane waves in two-dimensional
hexagonal lattice are obtained. New coupled non-linear continuum equations are obtained …
hexagonal lattice are obtained. New coupled non-linear continuum equations are obtained …
Analysis of dynamic failure of the discrete chain structure with non‐local interactions
In the present work, the steady‐state crack propagation in a chain of oscillators with non‐
local interactions is considered. The interactions are modelled as linear springs, while the …
local interactions is considered. The interactions are modelled as linear springs, while the …