A minimum principle for tractions in the elastostatics of cable networks
type: Item
instance of: scholarly article
title: A minimum principle for tractions in the elastostatics of cable networks
zbMATH Open document ID: 0609.73028
DOI: 10.1016/0020-7683(87)90017-5
author: Mario Cannarozzi
published in: International Journal of Solids and Structures
publication date: 1987-01-01T00:00:00Z
review text: A constrained extremum principle for the elastostatics of cable networks is formulated. A convex, non-differentiable functional involving only static variables is shown to attain its minimum on a convex set, in correspondence of the solution of the problem. Taking into account slackening of cables, existence and uniqueness are proved for the solution. Finite element models can be developed on the grounds of the theory, as shown in some examples.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 49S05
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74G30
Mathematics Subject Classification ID: 74H25
zbMATH DE Number: 3986743
zbMATH Keywords: non-Gateaux differentiable
zbMATH Keywords: constrained extremum principle
zbMATH Keywords: elastostatics
zbMATH Keywords: cable networks
zbMATH Keywords: convex, non-differentiable functional
zbMATH Keywords: static variables
zbMATH Keywords: minimum
zbMATH Keywords: convex set
zbMATH Keywords: slackening of cables
zbMATH Keywords: existence
MaRDI profile type: Publication
full work available at URL: 0020-7683(87)90017-5
OpenAlex ID: W2062243630
description: scientific article; zbMATH DE number 3986743