Reduced order modeling with local enrichment for the nonlinear geometric response of a cracked panel

X. Q. Wang, P. J. O'Hara, Marc Mignolet, J. J. Hollkamp

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

High-speed flight vehicles operating in extreme environments are likely to undergo significant nonlinear dynamic deformation. The accurate response and life predictions of such structures require methods that enable direct time integration over long portions of flight trajectories, and also require the ability to resolve local stress concentrations. The approach proposed here takes root in displacement-based reduced order modeling to allow for direct time integration. The reduced order models (ROMs) are built using first aROMconstructed over the uncracked structure, whose global basis is augmented with localized enrichment basis functions that are constructed to capture the localized impact of a crack on the displacement field of the structure. The enrichment bases are built using a 3D generalized finite element model defined only in the region of the crack itself. Detailed stress information can also be extracted from the 3D fracture model. The proposed approach is demonstrated on a cracked flat cantilevered blade model, and the benefits of coupling the global basis functions and the localized enrichment bases are demonstrated.

Original languageEnglish (US)
Pages (from-to)421-436
Number of pages16
JournalAIAA journal
Volume57
Issue number1
DOIs
StatePublished - Jan 1 2019

Fingerprint

Cracks
Stress concentration
Trajectories

ASJC Scopus subject areas

  • Aerospace Engineering

Cite this

Reduced order modeling with local enrichment for the nonlinear geometric response of a cracked panel. / Wang, X. Q.; O'Hara, P. J.; Mignolet, Marc; Hollkamp, J. J.

In: AIAA journal, Vol. 57, No. 1, 01.01.2019, p. 421-436.

Research output: Contribution to journalArticle

Wang, X. Q. ; O'Hara, P. J. ; Mignolet, Marc ; Hollkamp, J. J. / Reduced order modeling with local enrichment for the nonlinear geometric response of a cracked panel. In: AIAA journal. 2019 ; Vol. 57, No. 1. pp. 421-436.
@article{130fb4d5b1b34e9cb3baf8ba254d1dff,
title = "Reduced order modeling with local enrichment for the nonlinear geometric response of a cracked panel",
abstract = "High-speed flight vehicles operating in extreme environments are likely to undergo significant nonlinear dynamic deformation. The accurate response and life predictions of such structures require methods that enable direct time integration over long portions of flight trajectories, and also require the ability to resolve local stress concentrations. The approach proposed here takes root in displacement-based reduced order modeling to allow for direct time integration. The reduced order models (ROMs) are built using first aROMconstructed over the uncracked structure, whose global basis is augmented with localized enrichment basis functions that are constructed to capture the localized impact of a crack on the displacement field of the structure. The enrichment bases are built using a 3D generalized finite element model defined only in the region of the crack itself. Detailed stress information can also be extracted from the 3D fracture model. The proposed approach is demonstrated on a cracked flat cantilevered blade model, and the benefits of coupling the global basis functions and the localized enrichment bases are demonstrated.",
author = "Wang, {X. Q.} and O'Hara, {P. J.} and Marc Mignolet and Hollkamp, {J. J.}",
year = "2019",
month = "1",
day = "1",
doi = "10.2514/1.J057358",
language = "English (US)",
volume = "57",
pages = "421--436",
journal = "AIAA Journal",
issn = "0001-1452",
publisher = "American Institute of Aeronautics and Astronautics Inc. (AIAA)",
number = "1",

}

TY - JOUR

T1 - Reduced order modeling with local enrichment for the nonlinear geometric response of a cracked panel

AU - Wang, X. Q.

AU - O'Hara, P. J.

AU - Mignolet, Marc

AU - Hollkamp, J. J.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - High-speed flight vehicles operating in extreme environments are likely to undergo significant nonlinear dynamic deformation. The accurate response and life predictions of such structures require methods that enable direct time integration over long portions of flight trajectories, and also require the ability to resolve local stress concentrations. The approach proposed here takes root in displacement-based reduced order modeling to allow for direct time integration. The reduced order models (ROMs) are built using first aROMconstructed over the uncracked structure, whose global basis is augmented with localized enrichment basis functions that are constructed to capture the localized impact of a crack on the displacement field of the structure. The enrichment bases are built using a 3D generalized finite element model defined only in the region of the crack itself. Detailed stress information can also be extracted from the 3D fracture model. The proposed approach is demonstrated on a cracked flat cantilevered blade model, and the benefits of coupling the global basis functions and the localized enrichment bases are demonstrated.

AB - High-speed flight vehicles operating in extreme environments are likely to undergo significant nonlinear dynamic deformation. The accurate response and life predictions of such structures require methods that enable direct time integration over long portions of flight trajectories, and also require the ability to resolve local stress concentrations. The approach proposed here takes root in displacement-based reduced order modeling to allow for direct time integration. The reduced order models (ROMs) are built using first aROMconstructed over the uncracked structure, whose global basis is augmented with localized enrichment basis functions that are constructed to capture the localized impact of a crack on the displacement field of the structure. The enrichment bases are built using a 3D generalized finite element model defined only in the region of the crack itself. Detailed stress information can also be extracted from the 3D fracture model. The proposed approach is demonstrated on a cracked flat cantilevered blade model, and the benefits of coupling the global basis functions and the localized enrichment bases are demonstrated.

UR - http://www.scopus.com/inward/record.url?scp=85060401348&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85060401348&partnerID=8YFLogxK

U2 - 10.2514/1.J057358

DO - 10.2514/1.J057358

M3 - Article

VL - 57

SP - 421

EP - 436

JO - AIAA Journal

JF - AIAA Journal

SN - 0001-1452

IS - 1

ER -