A Deformation Theory of Polymers
For the bundle model of polymers, a quantitative nonlinear deformation theory is established using the methods of non-Euclidean geometries. The physical basis is discussed. Similarities between polymers and atomic crystals are shown.
The structure defect “disclination” is introduced into the bundle model. By means of this defect, the meander model is reduced to a particular arrangement of disclinations.
The properties of polymers are assumed to depend on the existence, the properties, and the interaction effects of structure defects. Continuum theory may thus be a powerful tool for quantitative investigations. The deformation theory established in this paper is the basis of such a continuum theory.
KeywordsVector Field Molecular Chain Continuum Theory Deformation Theory Parallel Displacement
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