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

@article{citeulike:3139716, abstract = {The non-local constitutive behaviour of an infinite composite laminate is analyzed. The laminate is treated as random and is subjected to a combination of deterministic and configuration-dependent body force. In this case, in addition to the effective non-local elastic operator, other non-local constitutive 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 direction of lamination, these operators are obtained explicitly. The Hashin-Shtrikman principles developed by Luciano and Willis (Luciano, R., Willis, J.R., 2001a. Bounds on non-local effective relations for random composites loaded by configuration-dependent body force, to appear in J. Mech. Phys. Solids), which provide bounds for the operators for general composites, are shown to generate exactly the two operators that define the stress, while giving only bounds for the remaining operator that appears in the expression for the total energy. The case of a two-phase laminate with the layers arranged periodically is presented as an example.}, author = {Luciano, R. and Willis, J. R.}, citeulike-article-id = {3139716}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/S0022-5096(00)00031-4}, citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/B6TXB-420B1WF-9/2/e23b15a0fcd8eb8fa403e0fdbf4d2854}, doi = {10.1016/S0022-5096(00)00031-4}, journal = {Journal of the Mechanics and Physics of Solids}, keywords = {fgms}, month = {February}, number = {2}, pages = {431--444}, posted-at = {2008-08-20 12:20:50}, priority = {2}, title = {Non-local constitutive response of a random laminate subjected to configuration-dependent body force}, url = {http://dx.doi.org/10.1016/S0022-5096(00)00031-4}, volume = {49}, year = {2001} }

TY - JOUR ID - citeulike:3139716 L3 - citeulike-article-id:3139716 N2 - The non-local constitutive behaviour of an infinite composite laminate is analyzed. The laminate is treated as random and is subjected to a combination of deterministic and configuration-dependent body force. In this case, in addition to the effective non-local elastic operator, other non-local constitutive 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 direction of lamination, these operators are obtained explicitly. The Hashin-Shtrikman principles developed by Luciano and Willis (Luciano, R., Willis, J.R., 2001a. Bounds on non-local effective relations for random composites loaded by configuration-dependent body force, to appear in J. Mech. Phys. Solids), which provide bounds for the operators for general composites, are shown to generate exactly the two operators that define the stress, while giving only bounds for the remaining operator that appears in the expression for the total energy. The case of a two-phase laminate with the layers arranged periodically is presented as an example. IS - 2 JF - Journal of the Mechanics and Physics of Solids EP - 444 TI - Non-local constitutive response of a random laminate subjected to configuration-dependent body force VL - 49 SP - 431 KW - fgms AU - Luciano, R AU - Willis, JR PY - 2001/02// UR - http://dx.doi.org/10.1016/S0022-5096(00)00031-4 ER -