The Poynting-Swift effect in relation to initial and post-yield deformation
type: Item
instance of: scholarly article
title: The Poynting-Swift effect in relation to initial and post-yield deformation
zbMATH Open document ID: 0564.73053
DOI: 10.1016/0020-7683(85)90061-7
author: E. W. Billington
published in: International Journal of Solids and Structures
publication date: 1985-01-01T00:00:00Z
review text: The material behaviour predicted by the constitutive equation of a general elastic material is considered in relation to the combined extension and torsion of a thin-walled tube and a solid rod. This state of combined stressing is considered in relation to material behaviour at small strains, and at finite strains in the context of initial yield and the Poynting-Swift effect. A composite yield condition has been postulated on general grounds which, over a given range of application, is identical to the von Mises yield criterion, or some modified form of it, and over the remaining range of application takes the form of a 12- sided, linear, piece-wise continuous yield condition. The theory is applied to the classical combined-stress experiments of \textit{G. I. Taylor} and \textit{H. Quinney} [Philos. Trans. R. Soc. Lond., A 230, 323-362 (1931; Zbl 0003.08003)], using a total deformation-type constitutive equation. It is shown that the proposed yield condition when combined with the new constitutive equation, is in full agreement with the useable experimental data obtainable from these particular combined- stress measurements.
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74D99
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 74K15
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 3900280
zbMATH Keywords: general elastic material
zbMATH Keywords: combined extension and torsion of a thin-walled tube and a solid rod
zbMATH Keywords: small strains
zbMATH Keywords: finite strains
zbMATH Keywords: initial yield
zbMATH Keywords: Poynting-Swift effect
zbMATH Keywords: composite yield condition
MaRDI profile type: Publication
full work available at URL: 0020-7683(85)90061-7
OpenAlex ID: W1984110897
description: scientific article; zbMATH DE number 3900280