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

David R. Brandyberry, Ahmad R. Najafi, Philippe H. Geubelle

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)2806-2825
Number of pages20
JournalInternational Journal for Numerical Methods in Engineering
Volume121
Issue number12
DOIs
StatePublished - Jun 30 2020

Keywords

  • analytic sensitivity
  • cohesive failure
  • composites
  • multiscale modeling
  • shape optimization

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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