Harnessing structural stochasticity in the computational discovery and design of microstructures

This paper presents a deep generative model-based design methodology for tailoring the structural stochasticity of microstructures. Although numerous methods have been established for designing deterministic (periodic) or stochastic microstructures, a systematic design approach that allows the unifi...

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Main Authors: Leidong Xu, Nathaniel Hoffman, Zihan Wang, Hongyi Xu
Format: Article
Language:English
Published: Elsevier 2022-11-01
Series:Materials & Design
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0264127522008450
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author Leidong Xu
Nathaniel Hoffman
Zihan Wang
Hongyi Xu
author_facet Leidong Xu
Nathaniel Hoffman
Zihan Wang
Hongyi Xu
author_sort Leidong Xu
collection DOAJ
description This paper presents a deep generative model-based design methodology for tailoring the structural stochasticity of microstructures. Although numerous methods have been established for designing deterministic (periodic) or stochastic microstructures, a systematic design approach that allows the unified treatment of both deterministic and stochastic microstructure design domains has yet to be created. The proposed methodology resolves this issue by learning a unified feature space that embodies diverse structural patterns with continuously varying stochasticity levels. A highly diverse microstructure database is established to incorporate various types of deterministic and stochastic microstructure patterns. A property-aware deep generative model is proposed to learn a unified feature space of the structural characteristics, as well as the relationship between structure features and properties of interest. Autoencoder (AE), Variational Autoencoder (VAE), and Adversarial Autoencoder (AAE) are compared to understand their relative merits in the property-aware learning of the unified feature space. Microstructural designs with tailorable stochasticity and properties are obtained by searching the unified feature space. Multiple design cases are presented to demonstrate the capability of designing microstructures for structural stochasticity and properties. Furthermore, the proposed method is employed to create stochastically graded structures, which manipulate the mechanical behaviors by varying the local stochasticity of the structure.
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spelling doaj.art-48201372304e45f39346a3d9567abe0a2022-12-22T03:26:33ZengElsevierMaterials & Design0264-12752022-11-01223111223Harnessing structural stochasticity in the computational discovery and design of microstructuresLeidong Xu0Nathaniel Hoffman1Zihan Wang2Hongyi Xu3Department of Mechanical Engineering, University of Connecticut, 191 Auditorium Road, Storrs, CT 06269, United StatesDepartment of Mechanical Engineering, University of Connecticut, 191 Auditorium Road, Storrs, CT 06269, United StatesDepartment of Mechanical Engineering, University of Connecticut, 191 Auditorium Road, Storrs, CT 06269, United StatesCorresponding author.; Department of Mechanical Engineering, University of Connecticut, 191 Auditorium Road, Storrs, CT 06269, United StatesThis paper presents a deep generative model-based design methodology for tailoring the structural stochasticity of microstructures. Although numerous methods have been established for designing deterministic (periodic) or stochastic microstructures, a systematic design approach that allows the unified treatment of both deterministic and stochastic microstructure design domains has yet to be created. The proposed methodology resolves this issue by learning a unified feature space that embodies diverse structural patterns with continuously varying stochasticity levels. A highly diverse microstructure database is established to incorporate various types of deterministic and stochastic microstructure patterns. A property-aware deep generative model is proposed to learn a unified feature space of the structural characteristics, as well as the relationship between structure features and properties of interest. Autoencoder (AE), Variational Autoencoder (VAE), and Adversarial Autoencoder (AAE) are compared to understand their relative merits in the property-aware learning of the unified feature space. Microstructural designs with tailorable stochasticity and properties are obtained by searching the unified feature space. Multiple design cases are presented to demonstrate the capability of designing microstructures for structural stochasticity and properties. Furthermore, the proposed method is employed to create stochastically graded structures, which manipulate the mechanical behaviors by varying the local stochasticity of the structure.http://www.sciencedirect.com/science/article/pii/S0264127522008450Microstructure designDeep generative modelStochasticityDesign optimizationStochastically graded structures
spellingShingle Leidong Xu
Nathaniel Hoffman
Zihan Wang
Hongyi Xu
Harnessing structural stochasticity in the computational discovery and design of microstructures
Materials & Design
Microstructure design
Deep generative model
Stochasticity
Design optimization
Stochastically graded structures
title Harnessing structural stochasticity in the computational discovery and design of microstructures
title_full Harnessing structural stochasticity in the computational discovery and design of microstructures
title_fullStr Harnessing structural stochasticity in the computational discovery and design of microstructures
title_full_unstemmed Harnessing structural stochasticity in the computational discovery and design of microstructures
title_short Harnessing structural stochasticity in the computational discovery and design of microstructures
title_sort harnessing structural stochasticity in the computational discovery and design of microstructures
topic Microstructure design
Deep generative model
Stochasticity
Design optimization
Stochastically graded structures
url http://www.sciencedirect.com/science/article/pii/S0264127522008450
work_keys_str_mv AT leidongxu harnessingstructuralstochasticityinthecomputationaldiscoveryanddesignofmicrostructures
AT nathanielhoffman harnessingstructuralstochasticityinthecomputationaldiscoveryanddesignofmicrostructures
AT zihanwang harnessingstructuralstochasticityinthecomputationaldiscoveryanddesignofmicrostructures
AT hongyixu harnessingstructuralstochasticityinthecomputationaldiscoveryanddesignofmicrostructures