## Theory of Composites Modeled by Interpenetrating Solid Continua |

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### Contents

THEORY | 8 |

Boundary Conditions | 44 |

General Equations and Boundary Conditions | 50 |

7 other sections not shown

### Common terms and phrases

angular momentum antisymmetric antisymmetric matrix antisymmetric tensors assumed body forces boundary conditions chain rule coefficients combined continuum concentrated force constants constituents composite material constitutive equations defined deformation differential equations dissipation divergence theorem elastic equations and boundary equations of motion everything vanishes Fiber Reinforced Composite Fibers Figure H.F. TIersten heat conducting integral forms intermediate configuration interpenetrating solid continua invariant isotropic composite material jump conditions law of thermodynamics linear homogeneous equations mass density material coordinates matrix and fibers matrix material n-constituents numerical solutions obtain orthogonal orthogonal group Piola-KIrchhoff Piola-KIrchhoff stress tensor plane waves propagating principle of material Reinforced Composite Body Rensselaer Polytechnic Institute respectively satisfy Schematic Diagram Section small field variables small fields superposed static stress tensor surface of discontinuity surface tractions Surface Waves Propagating symmetric theory thickness vibration three constituents composite three continua tion transversely isotropic composites variational principle wave equations written x^-axis x^-direction yields nontrivial solutions