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 …

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 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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …