| Title: |
Viscoplastic plates |
| Authors: |
Ball, Thomasina V.; Balmforth, Neil J. |
| Source: |
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences ; volume 477, issue 2254 ; ISSN 1364-5021 1471-2946 |
| Publisher Information: |
The Royal Society |
| Publication Year: |
2021 |
| Description: |
An asymptotic model is constructed to describe the bending of thin sheets, or plates, of viscoplastic fluid described by the Herschel–Bulkley constitutive law, which incorporates the von Mises yield condition and a nonlinear viscous stress. The model reduces to a number of previous ones from plasticity theory and viscous fluid mechanics in various limits. It is characterized by a yield criterion proposed by Ilyushin which compactly combines the effect of the bending moment and in-plane stress tensors through three particular invariants. The model is used to explore the bending of loaded flat plates, the deflection of impulsively driven circular plates, and the tension-controlled deflection of loaded beams. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1098/rspa.2021.0509 |
| Availability: |
https://doi.org/10.1098/rspa.2021.0509; https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2021.0509; https://royalsocietypublishing.org/doi/full-xml/10.1098/rspa.2021.0509 |
| Rights: |
https://royalsociety.org/journals/ethics-policies/data-sharing-mining/ |
| Accession Number: |
edsbas.9F00E045 |
| Database: |
BASE |