Non-local constitutive response of a random laminate subjected to configuration-dependent body force

The non-local constitutive behaviour of an infinite composite laminate is a nalyzed. The laminate is treated as random and is subjected to a combinatio n of deterministic and configuration-dependent body force. In this case, in addition to the effective non-local elastic operator, other non-local cons titutive operators must be considered in order to define the mean response of the body. For a laminate subjected to forces that vary only in the direc tion of lamination, these operators are obtained explicitly. The Hashin-Sht rikman principles developed by Luciano and Willis (Luciano, R., Willis, J,R ., 2001a. Bounds on non-local effective relations for random composites loa ded by configuration-dependent body force, to appear in J. Mech. Phys. Soli ds), which provide bounds for the operators for general composites, are sho wn to generate exactly the two operators that define the stress, while givi ng only bounds for the remaining operator that appears in the expression fo r the total energy. The case of a two-phase laminate with the layers arrang ed periodically is presented as an example. (C) 2001 Elsevier Science Ltd. All rights reserved.