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Continuum Mechanics and Thermodynamics
Published in: Continuum Mechanics and Thermodynamics 2/2023

02-03-2023 | Original Article

An extension of Almansi’s problem for orthotropic elastic beams

Authors: Marin Marin, Sorin Vlase, Andreas Öchsner

Published in: Continuum Mechanics and Thermodynamics | Issue 2/2023

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Abstract

First we construct the boundary value problem in the context of the elastostatics of elastic orthotropic beams, which are loaded on the ends and on the lateral surface. Then we determine the solution of this problem with the help of some functions of stress. In this way we find an extension of Prandtl’s method and, in the same time, an natural extension of the known Almansi’s problem from the classical plane problem of torsion.
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Metadata
Title
An extension of Almansi’s problem for orthotropic elastic beams
Authors
Marin Marin
Sorin Vlase
Andreas Öchsner
Publication date
02-03-2023
Publisher
Springer Berlin Heidelberg
Published in
Continuum Mechanics and Thermodynamics / Issue 2/2023
Print ISSN: 0935-1175
Electronic ISSN: 1432-0959
DOI
https://doi.org/10.1007/s00161-023-01205-z

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