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Сравнительный анализ оценок теплопроводности…
ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. Естественные науки. 2016. № 5
81
COMPARATIVE ANALYSIS FOR THERMAL CONDUCTIVITY ESTIMATES
OF UNIDIRECTIONAL FIBER COMPOSITES
V.S. Zarubin
fn2@bmstu.ruG.N. Kuvyrkin
I.Yu. Savel'eva
Bauman Moscow State Technical University, Moscow, Russian Federation
Abstract
Keywords
This work is based on the dual variational formulation of the
stationary heat conductivity problem for inhomogeneous
anisotropic solids. The article offers two-sided estimates for
the principal values of the tensor taking into account the
mutual arrangement of the anisotropic reinforcing fiber
cross-sections in a plane perpendicular to their axes. We
considered different types of arrangement of fiber cross-
sections: the heat conduction composite is transversely
isotropic or orthotropic. The estimates we calculated show
that there are limits to the possible values of the thermal
conductivity tensor components for the composite analyzed.
As a result, it is possible to carry out an objective comparative
analysis for the calculated ratios obtained using various
approaches and intended to determine the desired
characteristics. We estimated the most significant margins
of error that occur when the target values for each component
of the tensor are selected as half-sum of its boundary values.
We determined the limits for key parameters that show
reliable results with a significant difference in the thermal
conductivity of the composite matrix and fibers
Unidirectional fiber composite,
dual variational formulation of
steady thermal conductivity
problem, effective thermal con-
ductivity tensor
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DOI: 10.1023/A:1023390021091