Gradient model in the problem of stress-concentration around a circular hole in two-component stochastic composites |
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Authors: | L P Khoroshun Yu M Kabysh |
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Institution: | (1) S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine |
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Abstract: | The gradient model of stochastically inhomogeneous media is used to study the stress concentration around a circular hole
in a two-component elastic composite. The study is based on a general solution of the system of equilibrium equations expressed
in terms of harmonic functions and functions that satisfy the Helmholtz equation. This solution is used to solve problems
for an infinite plane with a circular hole under uniform and uniaxial tension. The results obtained are compared with the
solutions found using the theory of effective moduli, which is simpler
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Translated from Prikladnaya Mekhanika, Vol. 43, No. 12, pp. 41–53, December 2007. |
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Keywords: | two-component stochastic elastic composite composite-average stresses component-average stresses |
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