caa a22 4500 606166734 CHVBK 20210128100659.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10665-014-9777-3 doi (NATIONALLICENCE)springer-10.1007/s10665-014-9777-3 On the computation of the Hashin-Shtrikman bounds for transversely isotropic two-phase linear elastic fibre-reinforced composites [Elektronische Daten] [William Parnell, Carmen Calvo-Jurado] Although various forms for the Hashin-Shtrikman bounds on the effective elastic properties of inhomogeneous materials have been written down over the last few decades, it is often unclear how to construct and compute such bounds when the material is not of simple type (e.g. isotropic spheres inside an isotropic host phase). Here, we show how to construct, in a straightforward manner, the Hashin-Shtrikman bounds for generally transversely isotropic two-phase particulate composites where the inclusion phase is spheroidal, and its distribution is governed by spheroidal statistics. Note that this case covers a multitude of composites used in applications by taking various limits of the spheroid, including both layered media and long unidirectional composites. Of specific interest in this case is the fact that the corresponding Eshelby and Hill tensors can be derived analytically. That the shape of the inclusions and their distribution can be specified independently is of great utility in composite design. We exhibit the implementation of the computations with several examples. The Author(s), 2015 Fibre-reinforced materials nationallicence Hashin-Shtrikman bounds nationallicence Linear elasticity nationallicence Parnell William School of Mathematics, University of Manchester, M13 9PL, Manchester, UK aut Calvo-Jurado Carmen Departamento de Matemáticas, Escuela Politécnica, Avda. de la Universidad s/n, 10003, Cáceres, Spain aut Journal of Engineering Mathematics Springer Netherlands 95/1(2015-12-01), 295-323 0022-0833 95:1<295 2015 95 10665 https://doi.org/10.1007/s10665-014-9777-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10665-014-9777-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Parnell William School of Mathematics, University of Manchester, M13 9PL, Manchester, UK aut NATIONALLICENCE 700 1- Calvo-Jurado Carmen Departamento de Matemáticas, Escuela Politécnica, Avda. de la Universidad s/n, 10003, Cáceres, Spain aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Springer Netherlands 95/1(2015-12-01), 295-323 0022-0833 95:1<295 2015 95 10665