Multi-Objective Topology Optimization of Heat Conduction and Linear Elastostatic using Weighted Global Criteria Method

Proceedings of the 31st Symposium Design for X (DFX2020)

Year: 2020
Editor: Dieter Krause; Kristin Paetzold; Sandro Wartzack
Author: Denk, Martin; Rother, Klemens; Paetzold, Kristin
Series: DfX
Institution: University of Federal Armed Forces Munich; Institute for Product Development; University of Applied Science Munich; Institute of Material and Building Research
Section: Lightweight Design
Page(s): 91-100
DOI number:


Multi-Objective Topology Optimization is a tool for finding low-weight solutions using a discretized geometry of several objective functions. In this contribution, the coupling of heat conduction and elastostatics is covered using the global criteria method. For the comparison of the different objectives and objective distributions typically the single target optimized solutions are selected as normalization criteria [1], [2]. The use of these optimized results requires additional calculation effort, so that this work uses the objective distribution of full material properties instead. For the normalization, the objective distributions will be standardized, and quantile normalized. The normalization strategies are compared to each other by the number of iterations and the resulting objective value.

Keywords: Multi Objective, Topology Optimization, Global Criteria, Heat Conduction, Elasto Static


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