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

TL;DR

This paper introduces a method to determine the asymptotic behavior of integrals that appear in the analysis of wave motion in lattice structures within solid mechanics.

Contribution

It provides a novel approach for asymptotic analysis of integrals specific to wave phenomena in lattice-based solid mechanics models.

Findings

Derived asymptotic formulas for integrals in wave motion

Enhanced understanding of wave propagation in lattices

Applicable to complex lattice structures

Abstract

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