activity
20142023
most citedThe propagation of transient waves in two-dimensional square lattices

15 citations · 37 across the 7 of their papers we have counts for

collaborators

7 papers

math.AP2023

Transient longitudinal waves in 2D square lattices with Voigt elements under concentrated loading

Nadezhda I. Aleksandrova

The aim of this article is to study the attenuation of transient low-frequency waves in 2D lattices of point masses connected by Voigt elements, under an antiplane concentrated loa…

physics.class-ph2022★ 15 cited

The propagation of transient waves in two-dimensional square lattices

Nadezhda I. Aleksandrova

The aim of this article is to study the attenuation of transient low-frequency waves in 2D lattices in both plane and antiplane problems. The main idea of this article is that anal…

math.CA2020

On the asymptotics of integrals arising in the study of the wave motion in lattices

Nadezhda I. Aleksandrova

We present a method for finding the asymptotics of integrals arising in solid mechanics.

physics.class-ph2018★ 9 cited

Influence of soil plug on pipe ramming process

Nadezhda Aleksandrova

Different modes of advance of a pipe with a soil plug under rectangular impulse are investigated numerically and analytically with regard to dry friction between the pipe and plug…

physics.geo-ph2018★ 4 cited

Propagation of pendulum waves under deep-seated cord charge blasting in blocky rock mass

Nadezhda Aleksandrova

The object of the numerical study is the travel of pendulum waves in a blocky medium under nonstationary impact of deep-seated charge blasting on the surface of the expansion chamb…

math.CA2014★ 3 cited

Asymptotic formulae for the Lommel and Bessel functions and their derivatives

Nadezhda Aleksandrova

We derive new approximate representations of the Lommel functions in terms of the Scorer function and approximate representations of the first derivative of the Lommel functions in…

math.AP2014★ 6 cited

Asymptotic solution of the anti-plane problem for a two-dimensional lattice

Nadezhda Aleksandrova

Propagation of unsteady waves under the effect of a step point load on a square lattice of spring-connected masses is investigated. The problem is solved by two methods. Asymptotic…