We discuss the dynamics of a relatively simple origami-inspired structure considering
discrete and continuum models. The latter was derived as a certain limit of the discrete …

In this study, the propagation and kinking of an interface crack between two dissimilar
artificial periodic structures with local resonators is investigated. By Fourier transform, the …

In this study, the dynamic effective mass and effects of local resonators on the crack growth
are investigated. Based on Wiener-Hopf method and factorization using Cauchy-type …

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 …

Analytic relations that describe crack growth are vital for modeling experiments and building
a theoretical understanding of fracture. Upon constructing an idealized model system for the …

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 …

Previous investigations on wave scattering and crack propagation in the discrete periodic
structure are concentrated on the conditional mass–spring model, in which the internal mass …

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 …

The incubation time fracture criterion (ITFC) is used to analytically investigate dynamic crack
initiation under short pulse loads. Particular attention is paid to the phenomenon of delayed …