Fibre Rotation Motion in Homogeneous Flows

Altenbach, Holm; Naumenko, Konstantin; Pylypenko, S.; Renner, B.

doi:10.1007/978-3-540-85715-0_11

Cited by 1 publication

(1 citation statement)

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“…The resulting formulae incorporate naturally the volumetric effect of inertia on both stress and heat flux. Incorporating inertia has been investigated [7–10] and can be considered in practical computations using, e.g., two-scale finite element methods [11]. Although it can be plausibly assumed that at appropriately small length scales such volume effects become negligible compared to surface effects, as is argued in the continuum homogenization literature (see, e.g., [12–15]), volumetric effects become dominant in the presence of non-trivial velocity fluctuations, as is the case with wave propagation in heterogeneous media where wavelengths are of the order of the length scale [16–20].…”

Section: Introductionmentioning

confidence: 99%

On the polar nature and invariance properties of a thermomechanical theory for continuum-on-continuum homogenization

Mandadapu

Abali²,

Papadopoulos

2021

Mathematics and Mechanics of Solids

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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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