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О.В. Пугачев, Зо Тун Хан

38

ISSN 1812-3368. Вестник МГТУ им. Н.Э. Баумана. Сер. Естественные науки. 2016. № 4

momenta of heat energy, this value is exactly known for a homoge-

neous material, and this estimate is statistically evaluated for compo-

site materials. A computing experiment models the process of heat

conduction through a layer of a composite material, having heated

one side of the layer at the start. For a layer of a composite, we per-

form a multiple computational experiment modeling heat conduc-

tion, and, having processed the experiment results statistically,

we obtain confidence intervals for the effective temperature conduc-

tivity and heat conductivity coefficients. We have considered inclu-

sions of materials with heat conductivity coefficients differing from

those of the matrix in 3 times up or down, and with zero heat con-

ductivity. Ball inclusions of equal size were situated in a cubic order

or chaotically. In series of 4300 randomly moving particles, in all

cases considered, the difference between the effective heat conduc-

tivity coefficients and those calculated by other methods does not

exceed a statistical error. The method elaborated makes it possible to

obtain effective heat conductivity coefficients for composites with

inclusions of any size and shape; it can be applied also in a case of

inclusions of several materials. The results obtained are reliable,

their exactness is limited only by the power of computers

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