CMMSE Generalized Fourier Series Method for an Elastic Plate With a Multiply Connected Middle Plane Domain

Mathematical Methods in the Applied Sciences 2026 Open access

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Authors: Christian Constanda, Dale Doty
DOI: 10.1002/mma.70558
Cited by: 0
References: 4

Abstract

ABSTRACT A generalized Fourier series method is constructed to approximate the solution of the Dirichlet problem in a finite domain with finitely many holes, in the case of bending of elastic plates with transverse shear deformation. The theoretical results are illustrated by an example with specific boundary conditions.

Fields of Study & Subjects

Elasticity and Wave Propagation Differential Equations and Boundary Problems Composite Structure Analysis and Optimization

Publication details

Journal / source
Mathematical Methods in the Applied Sciences
Volume
49
Issue
9
Pages
9665–9673
Publication date
6 February 2026
Language
EN