caa a22 4500 469085053 CHVBK 20180323133002.0 cr unu---uuuuu 170328e19920301xx s 000 0 eng 10.1007/BF00041687 doi (NATIONALLICENCE)springer-10.1007/BF00041687 Lipton Robert Department of Mathematical Sciences, Worcester Polytechnic Institute, 01609, Worcester, MA, USA aut Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetry [Elektronische Daten] [Robert Lipton] The effective elastic behavior of a transversely isotropic composite made from two incompressible elastic materials is examined. The set of all effective elasticity tensors for transversely isotropic finite rank laminar microstructures is described. The extremal property of this class of microstructures is used to derive a new more precise characterization of the set of effective shear moduli. The perturbation series for the effective elasticity tensor is considered. An explicit formula for the second order perturbation tensor is derived. We describe precisely the set of tensors that correspond to all second order perturbations consistent with transverse isotropy. We apply analytic methods [cf. 27] to show that all second order perturbation tensors are realized by finite rank laminar microstructures. Kluwer Academic Publishers, 1992 73K20 nationallicence Journal of Elasticity Kluwer Academic Publishers 27/3(1992-03-01), 193-225 0374-3535 27:3<193 1992 27 10659 https://doi.org/10.1007/BF00041687 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00041687 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Lipton Robert Department of Mathematical Sciences, Worcester Polytechnic Institute, 01609, Worcester, MA, USA aut NATIONALLICENCE 773 0- Journal of Elasticity Kluwer Academic Publishers 27/3(1992-03-01), 193-225 0374-3535 27:3<193 1992 27 10659 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer