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Acta Mechanica
Published in: Acta Mechanica 4/2020

02-01-2020 | Original Paper

Deformation of beams in the grade consistent theory of microstretch elastic solids

Author: D. Ieşan

Published in: Acta Mechanica | Issue 4/2020

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Abstract

A microstretch continuum is a material with microstructure in which the microelements can stretch and contract independently of their translations and rotations. This paper is concerned with the grade consistent theory of microstretch elastic solids, where the second-order displacement is added to the classical set of independent constitutive variables. We study the equilibrium of a homogeneous and isotropic elastic beam loaded by tractions distributed over its plane ends. First, the problem of bending and extension is investigated. It is shown that the solution of the problem can be expressed in terms of solutions of three plane strain problems. Then, we study the problem of torsion in the framework of the grade consistent theory of microstretch elastic solids. This problem is solved with the help of three torsion functions. The results are used to investigate the torsion of a right circular cylinder.
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Metadata
Title
Deformation of beams in the grade consistent theory of microstretch elastic solids
Author
D. Ieşan
Publication date
02-01-2020
Publisher
Springer Vienna
Published in
Acta Mechanica / Issue 4/2020
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-019-02590-w

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