A MULTISCALE FINITE-ELEMENT METHOD FOR MODELING FULLY-COUPLED THERMOMECHANICAL PROBLEMS IN SOLIDS
A. Sengupta, P. Papadopoulos and R.L. Taylor Int. J. Num. Meth. Engrg., 21, pp. 1386-1405, (2012)

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 multi-core processing. The proposed method is applied with success to a strongly coupled problem involving shape-memory alloys.


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