Filled rubber is a type of multi-phase composite reinforced by nanoparticles. The coexistence of the rubber crosslinks and the secondary network formed by nanoparticles leads to extremely complicated mechanical behaviors like large deformation visco-hyperelastic

dynamical stress softening

self-heating effects etc. How to describe these behaviors using a reasonable constitutive model is a popular and challenge subject for rubber researchers. In recent years the advancement of the simulation technology makes strong requirements for the reliability

accuracy and numerical stability of rubber constitutive model. This paper presents a review of the state of the art rubber constitutive models

especially with regard to the research progresses on hyperelastic

viscoelastic and rheological models. Furthermore

from the perspective of the numerical compatibility between FEA method and rubber constitutive model application

this paper discusses the precision

application range and parameterization of some commonly used rubber constitutive models

which provides guidance to rubber mechanical simulation. Moreover

the challenge and directions for the current rubber constitutive model research has been explored.