Geymonat, G.; Krasucki, F.; Marigo, J. J. Stress distribution in anisotropic elastic composite beams. (English) Zbl 0645.73029 Applications of multiple scaling in mechanics, Proc. Int. Conf., Paris 1986, Rech. Math. Appl. 4, 118-133 (1987). [For the entire collection see Zbl 0625.00020.] The main objective of this paper is the study of stress distributions in an anisotropic elastic beam made of a fibrous composite unidirectional material. First, the classical results of homogenization theory are applied to the material that is transversely isotropic. Cited in 15 Documents MSC: 74E30 Composite and mixture properties 74E10 Anisotropy in solid mechanics 74K10 Rods (beams, columns, shafts, arches, rings, etc.) 74G70 Stress concentrations, singularities in solid mechanics Keywords:anisotropic elastic beam; fibrous composite unidirectional material; homogenization; transversely isotropic; asymptotic expansion method Citations:Zbl 0625.00020 PDF BibTeX XML OpenURL