This paper presents an analytical study on the in-plane vibrations of a rectangular elastic
lattice plate. The plane lattice is modelled considering central and angular interactions. The …

This chapter showcases the capability of fractional nonlocal elastic structural models to
capture specific wave dispersive properties of lattice structural mechanics or paradigmatic …

This paper tracks the development of lattice models that aim to describe linear elasticity of
solids and the field equations of which converge asymptotically toward those of isotropic …

This paper deals with two-dimensional elastic lattices which asymptotically converge
towards isotropic linear elastic continua. The square lattice composed of central and angular …

In this paper, we investigate the role of mass distribution on the vibration frequencies of
various discrete Hencky-type beam models. These models are composed of rigid beam …

We analyze, spatially one dimensional, non-local elastic body with deformation measure
given in the form of General fractional derivative of Riesz type with truncated power-law …

In nonlocal elasticity, the constitutive equation for the stress tensor is written in an integral
form, with the weight function, referred to as the nonlocality kernel, often being the Green's …