The systems considered here are composed of noninteracting ideal chain
s, formed from many identical beads, each of which is bound to its two
nearest neighbors with an arbitrary potential of interaction. The the
rmodynamic properties of these systems are examined for several bond p
otentials. Comparisons then are made between the properties of the mod
el systems and the experimentally observed behaviors of rubbery materi
als. Connections also are established between the thermodynamic and el
astic properties of these model systems and those given by the traditi
onal theories of polymeric elasticity.