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Multiscale design of three-dimensional nonlinear composites using an interface-enriched generalized finite element method
Journal article   Peer reviewed

Multiscale design of three-dimensional nonlinear composites using an interface-enriched generalized finite element method

David R. Brandyberry, Ahmad R. Najafi and Philippe H. Geubelle
International journal for numerical methods in engineering, v 121(12), pp 2806-2825
30 Jun 2020
DOI: https://doi.org/10.1002/nme.6333

Abstract

Engineering, Multidisciplinary Mathematics, Interdisciplinary Applications Science & Technology Engineering Mathematics Physical Sciences Technology
A computational framework is developed to model and optimize the nonlinear multiscale response of three-dimensional particulate composites using an interface-enriched generalized finite element method. The material nonlinearities are associated with interfacial debonding of inclusions from a surrounding matrix which is modeled using C-1 continuous enrichment functions and a cohesive failure model. Analytic material and shape sensitivities of the homogenized constitutive response are derived and used to drive a nonlinear inverse homogenization problem using gradient-based optimization methods. Spherical and ellipsoidal particulate microstructures are designed to match a component of the homogenized stress-strain response to a desired constructed macroscopic stress-strain behavior.

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6 citations in Web of Science
4 citations in Scopus

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Collaboration types
Domestic collaboration
Web of Science research areas
Engineering, Multidisciplinary
Mathematics, Interdisciplinary Applications
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