Least-weight design of perforated elastic plates. I
type: Item
instance of: scholarly article
title: Least-weight design of perforated elastic plates. I
zbMATH Open document ID: 0606.73105
DOI: 10.1016/0020-7683(87)90015-1
author: G. I. N. Rozvany
author: T. G. Ong
author: W. T. Szeto
author: Roman A. Sandler
author: Niels Olhoff
author: Martin Philip Bendsøe
published in: International Journal of Solids and Structures
publication date: 1987-01-01T00:00:00Z
review text: The paper investigates implications of some recent mathematical developments in the fields of shape optimization and relaxation of variational problems. Considering the least-weight design of perforated elastic plates in either flexure or plane stress for a prescribed compliance, it is shown that at low rib densities microstructures consisting of a combination of first- and second-order infinitesimal ribs is superior to those consisting of purely first-order infinitesimal ribs. Moreover, it is indicated that thin ribs of infinite length/thickness ratio do not contribute significantly to the stiffness in a direction normal to their plane. On the basis of this conclusion, a simple specific cost function is derived and then it is used in the design of circular, uniformly loaded perforated plates with zero value of Poisson's ratio.
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 3980684
zbMATH Keywords: shape optimization
zbMATH Keywords: relaxation of variational problems
zbMATH Keywords: least-weight design
zbMATH Keywords: flexure
zbMATH Keywords: plane stress
zbMATH Keywords: circular, uniformly loaded perforated plates
zbMATH Keywords: zero value of Poisson's ratio
MaRDI profile type: Publication
full work available at URL: 0020-7683(87)90015-1
OpenAlex ID: W4229528535
description: scientific article; zbMATH DE number 3980684