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Acta Mechanica
Published in: Acta Mechanica 8/2019

10-05-2019 | Original Paper

The \(\pi \)-symmetry and elastic equilibrium of a film in the theory of elasticity

Authors: Shaofeng Wang, Fenglin Deng, Jianhui Bai

Published in: Acta Mechanica | Issue 8/2019

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Abstract

The exact solution of the static equilibrium problem of an isotropic film in the linear elastic theory is studied for arbitrary thickness and for arbitrary boundary condition. From the symmetry principle, the solution is simplified into an invariant form with several scalar functions to be determined. The equilibrium solution is presented explicitly in the wave-vector space and given in the form of an integral expression in real space. An approximated equilibrium solution in real space is proposed, and the equilibrium of the plate as a thin film is discussed briefly.
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Literature
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Bai, J., Wang, S.: Screw dislocation equations in a thin film and surface effects. Int. J. Plast. 87, 181–203 (2016)CrossRef
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Metadata
Title
The -symmetry and elastic equilibrium of a film in the theory of elasticity
Authors
Shaofeng Wang
Fenglin Deng
Jianhui Bai
Publication date
10-05-2019
Publisher
Springer Vienna
Published in
Acta Mechanica / Issue 8/2019
Print ISSN: 0001-5970
Electronic ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-019-02420-z

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