A generalized Fourier series method approximates solutions for elastic plate bending in finite domains, indicating new computational techniques.
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.
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Constanda et al. (2026) studied this question.
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