Based on simple hypotheses, the Mooney function of rubber elasticity can be obtained by means of pure mathematical analysis, which is more suitable for rubber elasticity in large elastic deformation.

Elastomer is a class of polymers whose deformation displayed by strain-stress curve is totally elastic i. e. large recoverable strains produced at low stress levels.

A general practical finite element analysis model for two-dimentional elastic large deformation contact problems was established using the TL method.