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A multiscale finite element method for modeling fully coupled thermomechanical problems in solids
Author(s) -
Sengupta Arkaprabha,
Papadopoulos Panayiotis,
Taylor Robert L.
Publication year - 2012
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4320
Subject(s) - finite element method , computer science , mixed finite element method , extended finite element method , scale (ratio) , mathematics , momentum (technical analysis) , mathematical optimization , mechanical engineering , algorithm , computational science , structural engineering , engineering , physics , finance , quantum mechanics , economics
SUMMARY 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.Copyright © 2012 John Wiley & Sons, Ltd.