Theory of composites modeled by interpenetrating solid continua

Authors
Jahanmir, Majid
ORCID
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Other Contributors
Tiersten, Harry F., 1930-
Mow, Van C.
Lai, W. Michael, 1930-
Matkowsky, Bernard J.
Issue Date
1976-05
Keywords
Mechanics
Degree
PhD
Terms of Use
This electronic version is a licensed copy owned by Rensselaer Polytechnic Institute, Troy, NY. Copyright of original work retained by author.
Full Citation
Abstract
A suitable invariant form of the energy function is obtained for the isotropic and transversely isotropic composite materials, and the linear constitutive equations and the equations of motion are found using these expressions. Few static problems are considered for transversely isotropic composites, and for isotropic composites the static and dynamic potentials are obtained and the concentrated force problem is considered. The propagation of plane waves, surface waves and thickness vibration are considered, in both isotropic and transversely isotropic composites, and the existence of higher order modes and dispersive properties of surface waves are established. By means of a simplified model the numerical solutions to surface waves and plane waves are obtained and the graphs of frequency as a function of wavenumber are obtained for various percentages of reinforcement and different propagation directions relative to the fiber direction.
Description
May 1976
School of Engineering
Department
Dept. of Mechanical, Aerospace, and Nuclear Engineering
Publisher
Rensselaer Polytechnic Institute, Troy, NY
Relationships
Rensselaer Theses and Dissertations Online Collection
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