A NURBS-based interface-enriched generalized finite element scheme for the thermal analysis and design of microvascular composites

Marcus H.Y. Tan; Masoud Safdari; Ahmad R. Najafi; Philippe H. Geubelle

doi:10.1016/j.cma.2014.09.008

A NURBS-based interface-enriched generalized finite element scheme for the thermal analysis and design of microvascular composites

Marcus H.Y. Tan, Masoud Safdari, Ahmad R. Najafi, Philippe H. Geubelle

Research output: Contribution to journal › Article › peer-review

Abstract

Motivated by recent advances in manufacturing techniques for high-temperature microvascular composites, a NURBS-based interface-enriched generalized finite element method (IGFEM) is developed to solve a simplified thermal model of microchannels embedded in the materials. This method is capable of handling curved and branched microchannels. Solutions more accurate than those achieved with the conventional finite element method can be obtained with coarse meshes that do not conform to the geometry of the microchannels. Near-optimal asymptotic convergence rate is also achieved with this method even for highly curved microchannels. The capability of the numerical scheme is demonstrated by solving problems with complex microchannel configurations.

Original language	English (US)
Pages (from-to)	1382-1400
Number of pages	19
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	283
DOIs	https://doi.org/10.1016/j.cma.2014.09.008
State	Published - Jan 1 2015

Keywords

Curved microchannel
Interface-enriched generalized finite element method
Microchannel network
Microvascular composites
NURBS
Thermal

ASJC Scopus subject areas

Computational Mechanics
Mechanics of Materials
Mechanical Engineering
Physics and Astronomy(all)
Computer Science Applications

Online availability

10.1016/j.cma.2014.09.008

Library availability

Discover UIUC Full Text

Cite this

@article{ec7cb4489e2345eebac5f917da4ce6c5,

title = "A NURBS-based interface-enriched generalized finite element scheme for the thermal analysis and design of microvascular composites",

abstract = "Motivated by recent advances in manufacturing techniques for high-temperature microvascular composites, a NURBS-based interface-enriched generalized finite element method (IGFEM) is developed to solve a simplified thermal model of microchannels embedded in the materials. This method is capable of handling curved and branched microchannels. Solutions more accurate than those achieved with the conventional finite element method can be obtained with coarse meshes that do not conform to the geometry of the microchannels. Near-optimal asymptotic convergence rate is also achieved with this method even for highly curved microchannels. The capability of the numerical scheme is demonstrated by solving problems with complex microchannel configurations.",

keywords = "Curved microchannel, Interface-enriched generalized finite element method, Microchannel network, Microvascular composites, NURBS, Thermal",

author = "Tan, {Marcus H.Y.} and Masoud Safdari and Najafi, {Ahmad R.} and Geubelle, {Philippe H.}",

note = "Funding Information: The authors wish to thank Stephen J. Pety for bringing their attention to the serpentine channel configuration in battery cooling plates. This work has been supported by the Air Force Office of Scientific Research Multidisciplinary University Research Initiative (Grant No. FA9550-09-1-0686 ), with David Stargel as Program Director. Publisher Copyright: {\textcopyright} 2014 Elsevier B.V.",

year = "2015",

month = jan,

day = "1",

doi = "10.1016/j.cma.2014.09.008",

language = "English (US)",

volume = "283",

pages = "1382--1400",

journal = "Computer Methods in Applied Mechanics and Engineering",

issn = "0374-2830",

publisher = "Elsevier",

}

TY - JOUR

T1 - A NURBS-based interface-enriched generalized finite element scheme for the thermal analysis and design of microvascular composites

AU - Tan, Marcus H.Y.

AU - Safdari, Masoud

AU - Najafi, Ahmad R.

AU - Geubelle, Philippe H.

N1 - Funding Information: The authors wish to thank Stephen J. Pety for bringing their attention to the serpentine channel configuration in battery cooling plates. This work has been supported by the Air Force Office of Scientific Research Multidisciplinary University Research Initiative (Grant No. FA9550-09-1-0686 ), with David Stargel as Program Director. Publisher Copyright: © 2014 Elsevier B.V.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - Motivated by recent advances in manufacturing techniques for high-temperature microvascular composites, a NURBS-based interface-enriched generalized finite element method (IGFEM) is developed to solve a simplified thermal model of microchannels embedded in the materials. This method is capable of handling curved and branched microchannels. Solutions more accurate than those achieved with the conventional finite element method can be obtained with coarse meshes that do not conform to the geometry of the microchannels. Near-optimal asymptotic convergence rate is also achieved with this method even for highly curved microchannels. The capability of the numerical scheme is demonstrated by solving problems with complex microchannel configurations.

AB - Motivated by recent advances in manufacturing techniques for high-temperature microvascular composites, a NURBS-based interface-enriched generalized finite element method (IGFEM) is developed to solve a simplified thermal model of microchannels embedded in the materials. This method is capable of handling curved and branched microchannels. Solutions more accurate than those achieved with the conventional finite element method can be obtained with coarse meshes that do not conform to the geometry of the microchannels. Near-optimal asymptotic convergence rate is also achieved with this method even for highly curved microchannels. The capability of the numerical scheme is demonstrated by solving problems with complex microchannel configurations.

KW - Curved microchannel

KW - Interface-enriched generalized finite element method

KW - Microchannel network

KW - Microvascular composites

KW - NURBS

KW - Thermal

UR - http://www.scopus.com/inward/record.url?scp=84922320193&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84922320193&partnerID=8YFLogxK

U2 - 10.1016/j.cma.2014.09.008

DO - 10.1016/j.cma.2014.09.008

M3 - Article

AN - SCOPUS:84922320193

VL - 283

SP - 1382

EP - 1400

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

ER -

A NURBS-based interface-enriched generalized finite element scheme for the thermal analysis and design of microvascular composites

Abstract

Keywords

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this