The theory of rubber elasticity

摘要: This paper attempts to improve several weaknesses in the classical theories of rubber elasticity. It develops a formulation statistical thermodynamics amorphous materials analogous Gibbs formalism for conventional mechanics. then permits replacement ‘phantom chains’, i.e. long polymer molecules with fictitious property that they experience no forces except at cross link points and are transparent one another, by realistic which do can become entangled. The crosslinked longer assumed deform affinely gross behaviour solid. Under simplest conditions forms like recovered but different coefficient, term representing degrees freedom lost crosslinking, over dispute, is found lie between previous values formula reproduce results making assumptions. entanglements give rise more complicated than sum squares strain ratios, under certain circumstances Mooney-Rivlin when added empirically free energy usually improves fit experiment. general expression complicated, nevertheless an explicit function density crosslinks, interchain forces.