A multiscale finite element method for modeling fully coupled thermomechanical problems in solids

Arkaprabha Sengupta; Panayiotis Papadopoulos; Robert L. Taylor

doi:10.1002/nme.4320

A multiscale finite element method for modeling fully coupled thermomechanical problems in solids

Arkaprabha Sengupta, Panayiotis Papadopoulos, Robert L. Taylor

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

50 Scopus citations

Abstract

This article proposes a two-scale formulation of fully coupled continuum thermomechanics using the finite element method at both scales. A monolithic approach is adopted in the solution of the momentum and energy equations. An efficient implementation of the resulting algorithm is derived that is suitable for multicore processing. The proposed method is applied with success to a strongly coupled problem involving shape-memory alloys. © 2012 John Wiley & Sons, Ltd.

Original language	English (US)
Pages (from-to)	1386-1405
Number of pages	20
Journal	International Journal for Numerical Methods in Engineering
Volume	91
Issue number	13
DOIs	https://doi.org/10.1002/nme.4320
State	Published - May 18 2012
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: The authors would like to thank Thomas W. Duerig, Alan Pelton, and Aaron Kueck of Nitinol Devices & Components (Fremont, CA, USA) for providing the experimental results and also for helpful discussions. Also, support for AS and PP was provided by a KAUST-AEA grant, which is gratefully acknowledged.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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abstract = "This article proposes a two-scale formulation of fully coupled continuum thermomechanics using the finite element method at both scales. A monolithic approach is adopted in the solution of the momentum and energy equations. An efficient implementation of the resulting algorithm is derived that is suitable for multicore processing. The proposed method is applied with success to a strongly coupled problem involving shape-memory alloys. {\textcopyright} 2012 John Wiley & Sons, Ltd.",

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AU - Papadopoulos, Panayiotis

AU - Taylor, Robert L.

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N2 - This article proposes a two-scale formulation of fully coupled continuum thermomechanics using the finite element method at both scales. A monolithic approach is adopted in the solution of the momentum and energy equations. An efficient implementation of the resulting algorithm is derived that is suitable for multicore processing. The proposed method is applied with success to a strongly coupled problem involving shape-memory alloys. © 2012 John Wiley & Sons, Ltd.

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JO - International Journal for Numerical Methods in Engineering

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A multiscale finite element method for modeling fully coupled thermomechanical problems in solids

Abstract

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