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The majority of processes in composite materials involve a wide range of scales.
Because of the scale disparity in multi scale problem, it's often impossible to resolve the
effect of small scales directly. In this paper we perform multi scale modeling in order to
analyze properties of composite materials with periodical structure under temperature and
stresses influence. We consider a homogeneous matrix with periodic system of spherical
particles separated from the matrix by an interphase. Each component has its own
thermodynamic and mechanical (elastic) properties. We replace differential equations with
rapidly varying coefficients by homogenized equations having effective parameters, which
incorporate multi scale structure and properties of any component. We study, how effective
properties of the system "matrix-interphase-inclusion" can depend on sizes of inclusions,
thickness of interphase, mechanical and thermodynamic properties of components of a
composite material.
Keywords: multi scale modeling; thermoelastisity; effective thermo mechanical properties; nano composite materials; elastomeric composites |
full paper (pdf, 1248 Kb)