On the influence of a surface roughness on propagation of anti-plane short-length localized waves in a medium with surface coating
We discuss the propagation of localized surface waves in the framework of the linear Gurtin–
Murdoch surface elasticity and taking into account a roughness of a free boundary. We …
Murdoch surface elasticity and taking into account a roughness of a free boundary. We …
Anti-plane waves in an elastic thin strip with surface energy
GI Mikhasev, MG Botogova… - … Transactions of the …, 2022 - royalsocietypublishing.org
We consider anti-plane motions of an elastic plate taking into account surface energy within
the linear Gurtin–Murdoch surface elasticity. Two boundary-value problems are considered …
the linear Gurtin–Murdoch surface elasticity. Two boundary-value problems are considered …
[HTML][HTML] Transient wave in a transformable periodic flexural structure
MJ Nieves, GS Mishuris, LI Slepyan - International Journal of Solids and …, 2017 - Elsevier
The analysis of a transition wave propagating in a finite heterogeneous discrete beam strip,
composed of periodically placed masses and subjected to a harmonic load is presented …
composed of periodically placed masses and subjected to a harmonic load is presented …
[HTML][HTML] Dynamic fracture of a discrete media under moving load
N Gorbushin, G Mishuris - International Journal of Solids and Structures, 2018 - Elsevier
Most of the research concerning crack propagation in discrete media is carried out for
specific types of external loading: displacements on the boundaries, or constant energy …
specific types of external loading: displacements on the boundaries, or constant energy …
On weak solutions of boundary value problems within the surface elasticity of Nth order
VA Eremeyev, LP Lebedev… - ZAMM‐Journal of Applied …, 2021 - Wiley Online Library
A study of existence and uniqueness of weak solutions to boundary value problems
describing an elastic body with weakly nonlocal surface elasticity is presented. The chosen …
describing an elastic body with weakly nonlocal surface elasticity is presented. The chosen …
A general 3d lattice spring model for modeling elastic waves
M Xia, H Zhou, Q Li, H Chen… - Bulletin of the …, 2017 - pubs.geoscienceworld.org
Forward modeling is the foundation of seismic inversion, migration, and geological
interpretation. A general 3D lattice spring model (LSM) based on Hooke's and Newton's …
interpretation. A general 3D lattice spring model (LSM) based on Hooke's and Newton's …
[HTML][HTML] Influence of fracture criteria on dynamic fracture propagation in a discrete chain
The extent to which time-dependent fracture criteria affect the dynamic behavior of fracture in
a discrete structure is discussed in this work. The simplest case of a semi-infinite isotropic …
a discrete structure is discussed in this work. The simplest case of a semi-infinite isotropic …
On nonlocal surface elasticity and propagation of surface anti-plane waves
VA Eremeyev - Mechanics for Materials and Technologies, 2017 - Springer
We discuss the nonlocal model of surface elasticity that is the model with surface energy
density which depends on first and higher gradients of displacements. To demonstrate the …
density which depends on first and higher gradients of displacements. To demonstrate the …
A particle-based elastic wave simulation method in 3D arbitrary anisotropic media using GPU
The particle based dynamic lattice method (DLM) can simulate the elastic wave propagation
in 3D arbitrary anisotropic media with a body-centered cube model. The connection …
in 3D arbitrary anisotropic media with a body-centered cube model. The connection …
[PDF][PDF] Analysis of admissible steady-state fracture processes in discrete lattice structures
N Gorbushin - 2017 - research.aber.ac.uk
The purpose of this work is to study physically possible crack propagation at constant
velocity inside a discrete solid by means of theoretical analysis supported by numerical …
velocity inside a discrete solid by means of theoretical analysis supported by numerical …