IH-GAN swMATH ID: 43570 Software Authors: Jun Wang, Wei Wayne Chen, Daicong Da, Mark Fuge, Rahul Rai Description: IH-GAN: A Conditional Generative Model for Implicit Surface-Based Inverse Design of Cellular Structures. Variable-density cellular structures can overcome connectivity and manufacturability issues of topologically optimized structures, particularly those represented as discrete density maps. However, the optimization of such cellular structures is challenging due to the multiscale design problem. Past work addressing this problem generally either only optimizes the volume fraction of single-type unit cells but ignores the effects of unit cell geometry on properties, or considers the geometry-property relation but builds this relation via heuristics. In contrast, we propose a simple yet more principled way to accurately model the property to geometry mapping using a conditional deep generative model, named Inverse Homogenization Generative Adversarial Network (IH-GAN). It learns the conditional distribution of unit cell geometries given properties and can realize the one-to-many mapping from properties to geometries. We further reduce the complexity of IH-GAN by using the implicit function parameterization to represent unit cell geometries. Results show that our method can 1) generate various unit cells that satisfy given material properties with high accuracy (R2-scores between target properties and properties of generated unit cells >98 Homepage: https://arxiv.org/abs/2103.02588 Source Code: https://github.com/ideallab/ih-gan_cmame_2022 Keywords: IH-GAN; inverse design; cellular structure design; homogenization; generative adversarial network; topology optimization Related Software: MO-PaDGAN; Matlab Cited in: 1 Publication Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year IH-GAN: a conditional generative model for implicit surface-based inverse design of cellular structures. Zbl 07560345Wang, Jun; Chen, Wei (Wayne); Da, Daicong; Fuge, Mark; Rai, Rahul 2022 Cited by 5 Authors 1 Chen, Wei 1 Da, Daicong 1 Fuge, Mark 1 Rai, Rahul 1 Wang, Jun Cited in 1 Serial 1 Computer Methods in Applied Mechanics and Engineering Cited in 2 Fields 1 Computer science (68-XX) 1 Biology and other natural sciences (92-XX) Citations by Year