Optimal fiber configurations for maximum torsional rigidity
type: Item
instance of: scholarly article
title: Optimal fiber configurations for maximum torsional rigidity
zbMATH Open document ID: 0939.74051
published in: Archive for Rational Mechanics and Analysis
publication date: 2000-07-12T00:00:00Z
review text: The paper deals with optimal fiber configuration in prismatic shafts with given cross-sectional area of reinforced fibers. It is assumed that the fibers are imperfectly bonded to the shaft and that the joint area of fiber cross-sections is fixed. Subject to these conditions, the author investigates the problem of finding the shaft and fiber cross-sections that yield the maximum torsional rigidity. The answer is shown to depend upon the magnitude of a distinguishing parameter which has dimension of length and measures the influence of the imperfect bond, i.e. the mismatch between matrix and fiber compliance. The necessary background and a description of this parameter are provided. As illustration, the author presents results for shafts with circular cross-section reinforced with a single fiber with circular cross-section.
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 49N99
zbMATH DE Number: 1274881
zbMATH Keywords: influence of imperfect bond
zbMATH Keywords: optimal fiber configuration
zbMATH Keywords: prismatic shafts
zbMATH Keywords: maximum torsional rigidity
zbMATH Keywords: circular cross-section
author: Robert Lipton
reviewed by: Stefan Jendo
MaRDI profile type: Publication
full work available at URL: s002050050113
OpenAlex ID: W1985238907
DOI: 10.1007/S002050050113
description: scientific article; zbMATH DE number 1274881