We call nonlinear dilatational strain gradient elasticity the theory in which the specific class
of dilatational second gradient continua is considered: those whose deformation energy …

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 …

We discuss the classic rotary inertia notion and extend it for microstructured beams
introducing new microinertia parameters as an additional dynamic response to …

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 …

In this paper, we study the dynamic fracture of a dissimilar chain composed of two different
mass-spring chains and connected with other springs. The propagation of the fault (crack) is …

We consider dynamics of a one-dimensional harmonic chain with harmonic on-site potential
subjected to kinematic and force loadings. Under kinematic loading, a particle in the chain is …

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 …