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Mathematics and Mechanics of Solids
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Locality Principle and General Integral Equations of Micromechanics of Composite Materials

V. A. Buryachenko

Air Force Research Laboratory, Materials Directorate, AFRL/MLBC, Wright-Patterson AFB, OH45433-7750, USA

We consider a linearly thermoelastic composite medium, which consists of a homogeneous matrix containing either a statistically inhomogeneous random or deterministic set of inclusions, when the concentration of the inclusions is a function of the coordinates (so-called functionally graded materials). The composite medium is subjected to essentially inhomogeneous loading by the fields of the stresses, temperature, and body forces (e.g., for a centrifugal load). The general integral equations connecting the stress and strain fields in the point being considered and the surrounding points are obtained for the random and deterministic fields of inclusions. In so doing, the size of a region including the inclusions acting on a separate one is finite, that is, the locality principle takes place.

Key Words: microinhomogeneous materials • elastic materials • integral equations

Mathematics and Mechanics of Solids, Vol. 6, No. 3, 299-321 (2001)
DOI: 10.1177/108128650100600306
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 Mathematics and Mechanics of SolidsHome page
V. A. Buryachenko
Multiparticle Effective Field and Related Methods in Micromechanics of Random Structure Components
Mathematics and Mechanics of Solids, December 1, 2001; 6(6): 577 - 612.
[Abstract] [PDF]