Random structure composites with nonlocal thermoelastic properties of constituents

Abstract eng:
A theory of thermoelastic composite materials (CMs) with nonlocal properties (either strongly nonlocal or peristatic) of constituents is analyzed for multiphase statistically homogeneous elastic solids of arbitrary geometry and material symmetry subjected to the homogeneous boundary conditions. One obtains the new representation of the effective modulus and compliance through the mechanical influence function which does not explicitly depend (as opposed to its local counterpart) on the elastic operators of constituents. A generalization of the Hill’s [1] equality to the composites with nonlocal properties (either strongly nonlocal or peristatic) is proved. However, the representations of the effective eigenfields through the mechanical influence functions generalizing Levin’s [2] representation does not in general hold for thermoperistatic CMs. The general integral equations (GIEs) connecting the displacement fields in the point being considered and the surrounding points are proposed without any auxiliary assumptions which are implicitly exploited in the known centering methods.

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