Showing papers on "Mixture theory published in 1979"
TL;DR: In this paper, a theory for the dynamic response of a homogeneous, elastic, dispersive material is developed, which is derived from a general theory for all two phase periodic materials which was developed earlier.
34 citations
TL;DR: In this paper, a binary mixture theory is developed for propagation of longitudinal waves in a unidirectional, fibrous composite containing a two-dimensional periodic array of cylindrical fibers of arbitrary cross section.
14 citations
TL;DR: In this paper, a continuum mixture theory with microstructure is developed for electromagnetic wave propagation in laminated waveguides, which leads to simple governing equations for the actual composite which retain the integrity of the propagation process in each constituent but allow them to coexist under derived interactions.
Abstract: A continuum mixture theory with microstructure is developed for electromagnetic wave propagation in laminated waveguides. The theory leads to simple governing equations for the actual composite which retain the integrity of the propagation process in each constituent but allow them to coexist under derived interactions. The utility of the resulting equations is demonstrated by studying the response of the composite to harmonic excitations. In this case the dispersion relations are found to correlate well with some derived exact solutions.
5 citations
TL;DR: In this paper, a variational principle-based finite element procedure is described for solution of microstructure boundary value problems derived in the first part of the paper in order to calculate the mixture properties that are required in the mixture theory formulated therein.
4 citations