ON THE POLAR NATURE AND INVARIANCE
PROPERTIES OF A THERMOMECHANICAL THEORY FOR
CONTINUUM-ON-CONTINUUM HOMOGENIZATION
K.K. Mandadapu, B.E. Abali, and P. Papadopoulos
Mathematics and Mechanics of Solids, published online (2021).
Abstract
This paper makes a rigorous case for considering the
continuum derived by the homogenization of
extensive quantities as a polar medium in which
the balances of angular momentum and energy contain contributions due
to body couples and couple stresses defined in terms of the underlying
microscopic state. The paper also addresses the question of invariance
of macroscopic stress and heat flux and form-invariance of the
macroscopic balance laws.
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