Work

Asymptotic analysis of three-dimensional boundary-value problems for three-layered high-contrast plates

Year: 2026

Type: article

Abstract: Two-dimensional leading-order equations governing the elastic bending of a thin three-layered plate with a high contrast in the stiffness of core and skin layers are derived from the original three-dimensional framework. These equations support slowly decaying stress states along with flexural behaviour specific to the classical Kirchhoff plate theory. Asymptotically consistent boundary conditions are formulated using decay relations for an elastic semi-infinite strip, which generalize Saint-Venant’s principle by imposing additional constraints owing to contrast. The developed asymptotic results are tested by comparison with the exact solutions for several parametric set-ups.

Source: Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences

DOI: 10.1098/rspa.2025.0943

Authors: Barış Erbaş, Ludmila Prikazchikova, Julius Kaplunov

Institutions: Eskisehir Technical University, Keele University, RWTH Aachen University

Language: English

Topic: Elasticity and Wave Propagation

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Funder: Engineering and Physical Sciences Research Council

Award: Asymptotic analysis of boundary value problems for strongly inhomogeneous multi-layered elastic plates