A THERMOMECHANICAL THEORY OF A COSSERAT POINT WITH APPLICATION TO COMPOSITE-MATERIALS

After presenting a general thermomechanical theory of a Cosserat point with any number of directors in both Lagrangian and Eulerian forms, attention is confined to the development of a system of linearized equations for small deformation of elastic materials under isothermal conditions. With the help of the latter system of equations, several examples of elastic composite materials are discussed. These pertain to extension, torsion and flexure of a right cylinder of arbitrary uniform cross-section reinforced by any number of fillers with different elastic moduli. Detailed calculations are carried out in the case of an isotropic circular cylinder.