A METHOD FOR TREATING DAMAGE RELATED CRITERIA IN OPTIMAL TOPOLOGY DESIGN OF CONTINUUM STRUCTURES

Citation
Mp. Bendsoe et Ar. Diaz, A METHOD FOR TREATING DAMAGE RELATED CRITERIA IN OPTIMAL TOPOLOGY DESIGN OF CONTINUUM STRUCTURES, Structural optimization, 16(2-3), 1998, pp. 108-115
Citations number
17
Categorie Soggetti
Mechanics,"Computer Science Interdisciplinary Applications",Engineering
Journal title
ISSN journal
09344373
Volume
16
Issue
2-3
Year of publication
1998
Pages
108 - 115
Database
ISI
SICI code
0934-4373(1998)16:2-3<108:AMFTDR>2.0.ZU;2-1
Abstract
In this paper we present a formulation of the well-known structural to pology optimization problem that accounts for the presence of loads ca pable of causing permanent damage to the structure. Damage is represen ted in the form of an internal variable model which is standard in con tinuum damage mechanics. Here we employ an interpretation of this mode l as an optimum remodeling problem for maximal compliance over all dam age distributions, making also the analysis of the damage model a stud y in structural optimization. The damage criterion can be included in the optimal design model in a number of ways. We present results for f inding the optimal topology of the reinforcement of an existing design with the goal of minimizing damage. Also, we treat the problem of fin ding the topology of a structure where we seek maximal stiffness under service loads with a constraint on the amount of damage which occurs under a separate set of damage loads.