Refining Boundary Value Problems in Non-local Micropolar Mechanics
Abstract
This research explores refined boundary conditions for a traction-free surface in a non-local micropolar half-space, combining non-local and micropolar elasticity effects to study Rayleigh wave propagation in an isotropic, homogeneous medium. This study revisits the solution for Rayleigh waves obtained within the framework of Eringen's non-local differential model. It highlights that the equivalence between the non-local differential and integral formulations breaks down for a micropolar half-space and can only be restored under specific additional boundary conditions. For mathematical tractability, equivalence is assumed for a defined subset of stresses. Asymptotic analysis is further employed to capture the effects of the boundary layer within the non-local micropolar half-space. This technique finally derives the refined boundary conditions for micropolar media.
Cite
@article{arxiv.2410.02944,
title = {Refining Boundary Value Problems in Non-local Micropolar Mechanics},
author = {Manasa Bhat and Santanu Manna},
journal= {arXiv preprint arXiv:2410.02944},
year = {2024}
}