A Theory of Polymer Blend, as Extension of the Theory of Filler Reinforcement and of a Theoretical View of Stress-Strain Behavior of Model Polymer Blend System

Abstract

The molecular theory of filler reinforcement which was previously proposed by one of the authors (Y.S.) has been applied by extension to the analysis of the mechanical properties of polymer blends. Almost the same model has been used in the present experiment of the theory of filler reinforcement as those which were used in the previous experiment of the theory of the same, and almost the same assumptions are made for the present theory as was made for the previous theory, except that the dispersed spherical particles are rigid, because the spherical particles dispersed in polymers as demonstrated in the present theory are no longer to be necessarily designated rigid, but only deformable bearing the rigidity G0.Of the blend of two kinds of polymers with rigidity G and G0, the stress-strain relation of simple extension is obtained as follows