Bobeth, M.; Diener, G. Static elastic and thermoelastic field fluctuations in multiphase composites. (English) Zbl 0601.73001 J. Mech. Phys. Solids 35, 137-149 (1987). 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. Cited in 10 Documents 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 Keywords:self-consistent single-grain approximation; spatially fluctuating strain; stress fields; random heterogeneous thermoelastic medium; mean values; square means; thermal expansion PDF BibTeX XML Cite \textit{M. Bobeth} and \textit{G. Diener}, J. Mech. Phys. Solids 35, 137--149 (1987; Zbl 0601.73001) Full Text: DOI References: [1] Bergman, D.J., Phys. rep., 43, 377, (1978) [2] Bobeth, M., Thesis, (1983), Technische Universität Dresden G.D.R [3] Bobeth, M.; Diener, G., J. mech. phys. solids, 34, 1, (1986) [4] Budiansky, B., J. comp. mater., 4, 286, (1970) [5] Christensen, R.M., () [6] Diner, G.; Käseberg, F., Int. J. solids struct., 12, 173, (1976) [7] Hashin, Z.; Hashin, Z., J. mech. phys. solids, J. mech. phys. solids, 32, 159, (1984) [8] Hoffmann, H.; Blumenauer, H., Wiss. Z. tech. hochsch magdeburg, 24, 119, (1980) [9] Kanaun, S.K., Prikl. mat. and mekh., 46, 665, (1982), (USSR) [10] Kreher, W.; Pompe, W., J. mech. phys. solids, 33, 419, (1985) [11] Pompe, W.; Kreher, W., Z. angew. math. mech., 64, M487, (1984) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.