Journal of Engineering Physics and Thermophysics
is a translation of Inzhenerno-fizicheskii Zhurnal,
a publication of the Academic Scientific Complex
"A. V. Luikov Heat and Mass Transfer Institute"
of the National Academy of Sciences of Belarus
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APPLICATION OF THE METHOD OF INTEGRAL CROSS-SECTIONS
FOR ESTIMATING THE EFFECTIVE ELASTIC PROPERTIES
OF COMPOSITE MATERIALS
V. V. Novikov and O. B. Papkovskaya
UDC 518.12:536.19
We substantiate estimates of the upper and lower bounds
of the effective elasticity modulus of piecewise
homogeneous bodies. Using the method of integral
cross-sections, we solve the elastic problem concerning
the bending of a Kirchhoff inhomogeneous square plate
and find the effective cylindrical stiffness of this
inhomogeneous plate for various geometric parameters of
inclusion, as well as determine the upper and lower
bounds of the effective stiffness for the set of
problems considered.
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