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Static elastic and thermoelastic field fluctuations in multiphase composites. (English) Zbl 0601.73001
The spatially fluctuating strain and stress fields in a random heterogeneous thermoelastic medium are characterized by their mean values and square means in each phase. In the present paper the calculation of these quantities, which has been presented in a previous work for the case of a mechanical load only [the authors, ibid. 34, 1-18 (1986)] is extended to include thermal expansion. Besides the derivation of some exact relations between the square means and the analytical properties of the effective thermal expansion coefficient the field fluctuations are calculated within an effective-medium procedure supposing an aggregate topology of the composite. Explicit results obtained for isotropic phases and spherical grain shapes are given in a more convenient representation than in our former work.

MSC:
74F05 Thermal effects in solid mechanics
74A40 Random materials and composite materials
74E05 Inhomogeneity in solid mechanics
74A60 Micromechanical theories
74M25 Micromechanics of solids
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