Physics-aware Deep Generative Models for Creating Synthetic Microstructures

Date
2018-01-01
Authors
Hegde, Chinmay
Singh, Rahul
Shah, Viraj
Ganapathysubramanian, Baskar
Pokuri, Balaji
Sarkar, Soumik
Ganapathysubramanian, Baskar
Hegde, Chinmay
Major Professor
Advisor
Committee Member
Journal Title
Journal ISSN
Volume Title
Publisher
Altmetrics
Research Projects
Organizational Units
Mechanical Engineering
Organizational Unit
Journal Issue
Series
Department
Mechanical EngineeringElectrical and Computer EngineeringPlant Sciences Institute
Abstract

A key problem in computational material science deals with understanding the effect of material distribution (i.e., microstructure) on material performance. The challenge is to synthesize microstructures, given a finite number of microstructure images, and/or some physical invariances that the microstructure exhibits. Conventional approaches are based on stochastic optimization and are computationally intensive. We introduce three generative models for the fast synthesis of binary microstructure images. The first model is a WGAN model that uses a finite number of training images to synthesize new microstructures that weakly satisfy the physical invariances respected by the original data. The second model explicitly enforces known physical invariances by replacing the traditional discriminator in a GAN with an invariance checker. Our third model combines the first two models to reconstruct microstructures that respect both explicit physics invariances as well as implicit constraints learned from the image data. We illustrate these models by reconstructing two-phase microstructures that exhibit coarsening behavior. The trained models also exhibit interesting latent variable interpolation behavior, and the results indicate considerable promise for enforcing user-defined physics constraints during microstructure synthesis.

Comments

This is a pre-print of the article Singh, Rahul, Viraj Shah, Balaji Pokuri, Soumik Sarkar, Baskar Ganapathysubramanian, and Chinmay Hegde. "Physics-aware Deep Generative Models for Creating Synthetic Microstructures." arXiv preprint arXiv:1811.09669v1 (2018). Posted with permission.

Description
Keywords
Citation
DOI
Source
Collections