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• W2080309932 abstract "The asymptotic method of multiple scales is used to construct a continuum theory with microstructure for the linear elastodynamics of a periodically laminated medium. The resulting theory is in the form of a homogeneous binary mixture theory of micromorphic materials with a common director oriented normal to the interfaces. The model contains nine conservation equations—six for the linear momenta of both constituents and three for the director momentum. The asymptotically derived constitutive equations contain mixture properties which, in contrast to phenomenological theories, are determined solely from the properties of the individual constituents and their volume fractions. The mixture conservation and constitutive equations are complemented by an appropriate set of boundary conditions determined by a variational procedure. The efficacy of the model is assessed by comparison of predicted and exact phase velocity spectra for waves propagating at oblique incidence to the layers. The excellent agreement observed indicates that the model is useful for studying the dynamic behavior of laminated composites. Further, the method of multiple scales appears to provide an effective approach to the accurate determination of the large scale behavior of a material which exhibits small scale periodic heterogeneity." @default.
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• W2080309932 date "1981-01-01" @default.
• W2080309932 modified "2023-09-23" @default.
• W2080309932 title "A mixture theory with a director for linear elastodynamics of periodically laminated media" @default.
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• W2080309932 doi "https://doi.org/10.1016/0020-7683(81)90072-x" @default.
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