Design of an annular disc subject to thermomechanical loading
type: Item
instance of: scholarly article
title: Design of an annular disc subject to thermomechanical loading
zbMATH Open document ID: 1264.74034
DOI: 10.1155/2012/709178
author: Elena Lyamina
author: Yeau-Ren Jeng
author: Sergei Alexandrov
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: Two solutions to design a thin annular disc of variable thickness subject to thermomechanical loading are proposed. It is assumed that the thickness of the disc is everywhere sufficiently small for the stresses to be averaged through the thickness. The state of stress is plane. The initiation of plastic yielding is controlled by Mises yield criterion. The design criterion for one of the solutions proposed requires that the distribution of stresses is uniform over the entire disc. In this case there is a relation between optimal values of the loading parameters at the final stage. The specific shape of the disc corresponds to each pair of such parameters. The other solution is obtained under the additional requirement that the distribution of strains is uniform. This solution exists for the disc of constant thickness at specific values of the loading parameters.
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74C05
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 6173502
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/709178
OpenAlex ID: W2110566084
Wikidata QID: Q58911602
cites work: The design of nonhomogeneous equi-strength annular discs of variable thickness under internal and external pressures
cites work: Analytical solutions and numerical procedures for minimum-weight Michell structures
cites work: Elastic-plastic expansion of a circular hole in an infinite plate of variable thickness
description: scientific article; zbMATH DE number 6173502