This report presents review of the state of the art of numerical modelling of polymers and polymer coated metal laminates and gives details of selected numerical models including those that will be used in the work in the project POLYCOAT. The first sections of the report contain characteristics of polymers which are important for the application studied in the project. Basic mechanical and thermal properties of the polymers are reviewed. Then constitutive models developed for polymers are reviewed based on literature and own work. Details of selected models are given. Deformation behavior of polymer coated metal laminates is considered with special attention to the phenomena at the polymer-metal interface. The numerical models for the interface are presented finally.