Layout optimization of multi-material continuum structures with the isolines topology design method

Abstract

ReuseUnless indicated otherwise, fulltext items are protected by copyright with all rights reserved. The copyright exception in section 29 of the Copyright, Designs and Patents Act 1988 allows the making of a single copy solely for the purpose of non-commercial research or private study within the limits of fair dealing. The publisher or other rights-holder may allow further reproduction and re-use of this version -refer to the White Rose Research Online record for this item. Where records identify the publisher as the copyright holder, users can verify any specific terms of use on the publisher's website. TakedownIf you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing eprints@whiterose.ac.uk including the URL of the record and the reason for the withdrawal request. A heterogeneous or multi-material object is one made from different materials which are distributed continuously or discontinuously and where its properties can be adjusted by controlling the material composition, microstructure and geometry of the object. The development of manufacturing technologies such as rapid prototyping can eliminate the high cost of tooling and can offer the possibility to make multi-materials structures. However the ability to design them is not a trivial task and requires the development or modifications of optimization algorithms to take into consideration the different aspects of these problems. This article presents an enhancement to the ITD Osvaldo M. Querin, Mariano Victoria, Concepción Díaz, and Pascual Martí 2 algorithm which allows it to obtain multi-material designs. Four examples of the topology design of 2D continuum structures are presented to demonstrate that the ITD algorithm is an efficient and reliable method to carry out the layout optimization of multimaterial continuum structures.

Sürdürülebilir Betonlu Betonarme Yüksek Kirişlerin Yapısal Optimizasyonu

“…Yapıların, ekonomik etkin ve yapısal olarak güvenli tasarlanması yapı mühendislerinin temel hedeflerindendir. Yapıların tasarımında, mühendislerin temel hedeflerine ulaşmasına katkı saplayacak yöntemlerden birisi yapısal optimizasyon metodudur [7][8][9][10][11][12][13]. Bu metotla yapısal elemanlar ekonomik etkin ve yapısal olarak güvenli bir şekilde tasarlanabilmektedir.…”

liteITD a MATLAB Graphical User Interface (GUI) program for topology design of continuum structures

“…When "Single" option is selected the user must specify a material from pop-up menu. On the other hand, if multiple material option is selected the user must click which will be the materials and the volume control weighting factors used to optimize the structure (Querin et al 2015). Notice that, when there is an only material, the "Multiple materials (Fractions)" option will be disabled.…”

“…To obtain the stiffener layout, the shell structure was modelled using overlapping layers of thin-shell FE whose nodes were coupled using multi-point constraints. Querin et al (2015) presented an enhancement to the ITD algorithm that allows it to produce multi-material designs. The placement of the multiple materials in the design was determined by the distribution of the design criterion (i.e.…”

“…In this example, two materials were In order to optimize the structure again using two-material scheme, follow these steps: Figure 52. Final design for two-material scheme using the ITD method (Querin et al 2015). 10% volume fraction, 50 iterations and 143 structural analysis.…”

An improved soft-kill BESO algorithm for optimal distribution of single or multiple material phases

“…Apart from homogenization-based methods, different versions of level-set methods have also been introduced to solve multi-phase material distribution problems (see for example Zhou and Wang 2007;Wang and Wang 2004;Wang et al 2015). For other notable recent works in this area, the reader is referred to the works of Gao and Zhang (2011);Bruyneel (2011); Blasques and Stolpe (2012) ;Gao et al (2013); Tavakoli and Mohseni (2014); Tavakoli (2014); Park and Sutradhar (2015); Querin et al (2015).…”