Evolution of contours for topology optimization

Gideon Avigad*, Erella Matalon Eisenstadt, Shaul Salomon, Frederico Gadelha Guimar

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Topology optimization is used to find a preliminary structural configuration that meets a predefined criterion. It involves optimizing both the external boundary and the distribution of the internal material within a structure. Usually, counters are used a posteriori to the topology optimization to further adapt the shape of the topology according to manufacturing needs. Here we suggest optimizing topologies by evolving counters. We consider both outer and inner counters to allow for holes in the structure. Due to the difficulty of defining a reliable measure for the differences among shapes, little research attention has been focused on simultaneously finding diverse sets of optimal topologies. Here, niching is implemented within a suggested evolutionary algorithm in order to find diverse topologies. The niching is then embedded within the algorithm through the use of our recently introduced partitioning algorithm. For this algorithm to be used, the topologies are represented as functions. Two examples are given to demonstrate the approach. These examples show that the algorithm evolves a set of diverse optimal topologies.

Original languageEnglish
Title of host publicationEVOLVE A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computation II
PublisherSpringer Verlag
Number of pages16
ISBN (Print)9783642315183
StatePublished - 2013
Externally publishedYes

Publication series

NameAdvances in Intelligent Systems and Computing
Volume175 ADVANCES
ISSN (Print)2194-5357


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