Convexity restrictions on non-quadratic anisotropic yield criteria
type: Item
instance of: scholarly article
title: Convexity restrictions on non-quadratic anisotropic yield criteria
zbMATH Open document ID: 0627.73028
DOI: 10.1016/0020-7403(87)90059-2
author: B. George
published in: International Journal of Mechanical Sciences
publication date: 1987-01-01T00:00:00Z
full work available at URL: http://hdl.handle.net/2027.42/26986
review text: Examination of \textit{R. Hill}'s anisotropic yield criterion [Math. Proc. Camb. Phil. Soc. 85, 179-191 (1979; Zbl 0388.73029)] shows that for Cases I, II and III, there are combinations of m and R for which the yield loci are outwardly concave or even unbounded. For Case I, all loci are concave unless \(m=2\). For Cases II and III, the combinations of m and R which lead to concavity and unboundedness have been established. Case IV and Hosford's criterion have no problem regions as long as \(m\geq 1\).
Mathematics Subject Classification ID: 74C99
zbMATH DE Number: 4020570
zbMATH Keywords: anisotropic yield criterion
zbMATH Keywords: concavity
zbMATH Keywords: unboundedness
zbMATH Keywords: Hosford's criterion
MaRDI profile type: Publication
OpenAlex ID: W2071180117
description: scientific article; zbMATH DE number 4020570