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

2012/05/18 by Arkaprabha Sengupta, Panayiotis Papadopoulos, Robert L. Taylor · 1 citation
Engineering · Computer Science · #Composite Material Mechanics #Advanced Mathematical Modeling in Engineering #Numerical methods in engineering

paper · doi:10.1002/nme.4320

Abstract

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.

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