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Conformal scaling-based approach to evaluation of effective properties of thermoelastic non-homogeneous media. (English) Zbl 0928.74078

Summary: Effective thermoelastic properties of periodic composites are derived by applying the two-scale asymptotic homgenization method. The derivation is based on a new scaling which preserves similarity between all length scales involved in the problem of coupled thermoelasticity. The homogenized model turns out to be decoupled: the main term of the displacement representation satisfies the linear elasticity equations with given initial (constant in time) thermal strains.

MSC:

74Q20 Bounds on effective properties in solid mechanics
74Q05 Homogenization in equilibrium problems of solid mechanics
74E30 Composite and mixture properties
74F05 Thermal effects in solid mechanics
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