Within the lattice dynamics formulation, we present an exact solution for anti-plane surface
waves in a square lattice strip with a surface row of material particles of two types separated …

We study the propagation of a bridge crack in an anisotropic multi-scale system involving
two discrete elastic chains that are interconnected by links and possess periodically …

Dynamic Mode III interfacial fracture in a dissimilar square-cell lattice, composed of two
contrasting mass-spring lattice half-planes joined at an interface, is considered. The fracture …

A semi-infinite crack in an infinite square lattice is subjected to a wave coming from infinity,
thereby leading to its scattering by the crack surfaces. A partially damaged zone ahead of …

We consider the scattering of in-plane waves that interact with an edge of a structured
penetrable inertial line defect contained in a triangular lattice, composed of periodically …

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 …

The influence of background ultrasonic field on the ultimate dynamic strength of adhesive
joints is studied using fracture mechanics analysis. Winkler foundation-type models are …

We consider both analytical and numerical studies of a steady-state fracture process inside
a discrete mass-beam structure, composed of periodically placed masses connected by …