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Archive of Applied Mechanics
Published in: Archive of Applied Mechanics 8/2018

29-05-2018 | Original

Stress concentration around a rectangular cuboid hole in a three-dimensional elastic body under tension loading

Authors: Yi Yang, Yufeng Cheng, Weidong Zhu

Published in: Archive of Applied Mechanics | Issue 8/2018

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Abstract

Stress concentration caused by holes can be investigated by numerical and analytical methods. Current analytical methods can only solve two-dimensional problems. This paper proposes an analytical study on a three-dimensional stress concentration problem that involves a rectangular cuboid hole in a three-dimensional elastic body under tension loading. Based on the finite element method and U-transformation method, the problem can be expressed as a set of uncoupled equations with cyclic periodicity. Displacements of the three-dimensional elastic body are derived in analytical form to study stress distribution in it. Numerical simulation is conducted using ABAQUS to verify the analytical solution. Stress concentration factors in cases of uniaxial, biaxial, and triaxial tensions and the effect of the side ratio of the hole on them are discussed.
next article Dynamic study of viscoelastic rotor: a comparative study using analytical and finite element model considering higher-order system

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Appendix
Available only for authorised users
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Metadata
Title
Stress concentration around a rectangular cuboid hole in a three-dimensional elastic body under tension loading
Authors
Yi Yang
Yufeng Cheng
Weidong Zhu
Publication date
29-05-2018
Publisher
Springer Berlin Heidelberg
Published in
Archive of Applied Mechanics / Issue 8/2018
Print ISSN: 0939-1533
Electronic ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-018-1369-7

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