Theory of Composites Modeled by Interpenetrating Solid Continua

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Renselaer Polytechnic Institute., 1976 - Composite materials - 186 pages
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The differential equations and boundary conditions describing the behavior of a finitely deformable, heat conducting composite material are derived by means of a systematic application of the laws of continuum mechanics to a well-defined macroscopic model consisting of interpenetrating solid continua. Each continuum represents one identifiable constituent of the N- constituent composite. The influence of viscous dissipation is included in the general treatment. Although the motion of the combined composite continuum may be arbitrarily large, the relative displacement of the individual constituents is required to be infinitesimal in order that the composite not rupture. The linear version of the equations in the absence of heat conduction and viscosity is exhibited in detail for the case of the two-constituent composite. The linear equations are written for both the isotropic and transversely isotropic material symmetries. For the linear isotropic equations both static and dynamic potential representations are obtained, each of which is shown to be complete.

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Boundary Conditions
General Equations and Boundary Conditions

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