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)
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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