Macroscopic mechanical properties are strongly related to their microstructures

and computer simulation is an important approach to explore this inherent structure-property relationship. During the last decades

different simulation methods were proposed to describe the mechanical behavior of polymer materials at different scales. This paper reviews recent computer simulation studies in mechanical properties of polymer materials. Monte Carlo simulation

molecular dynamics simulation as well as lattice spring model based multi-scale simulation are reviewed in detail. The application of molecular dynamics simulations in the polymer glass

crystalline polyethylene and some heterogeneous polymers are discussed

while the application of multi-scale simulation in complicated heterogeneous materials are considered

such as phase separated block copolymers. Finally

the limitation and the application prospects of different methods are discussed.