Parameter calibration and numerical algorithm realization of physically visco-hyperelastic constitutive model based on compression experiment of EPDM

•The physical visco-hyperelastic constitutive model proposed by yuhai xiang can precisely represent static and dynamic mechanic behaviors of EPDM.•Mechanic behaviors of EPDM can be captured by using stress-strain curves of static and dynamic compression experiments to calibrate the physical visco-hyperelastic constitutive model.•An approximate physical visco-hyperelastic constitutive model for numerical calculation is developed.•Calculation efficiency and analysis accuracy of FEM model integrated with numerical algorithm of the approximate physical visco-hyperelastic constitutive model is verified. Multi-constitutive models integrated with microstructure parameters are suitable to capture different rubberlike material mechanical characteristics such as large deformation, hysteresis. However, the typical models are less often adopted to analyze realistic engineering problems due to difficult derivation of numerical algorithm which can be embedded into FEM models. Therefore, we take numerical algorithm derivation of physically visco -hyperelastic constitutive model proposed by Yuhai Xiang as an application example to analyze mechanic performance of EPDM (Ethylene Propylene Diene Monomer), which is widely utilized as cushion members of rail structure. After numerical algorithm is derived, static and dynamic compression tests are designed to calibrate mechanical parameters of EPDM. Finally, FEM models integrated with above numerical algorithm and calibration parameters are established to simulate mechanical response under different boundary conditions. In comparison of results between experiments and FEM simulations, accuracy and precision of numerical iteration formula and practicality can meet demands of engineering design and application when deformation and distortion of the FEM model mesh are not severe. We hope our work can supply some inspiration and be expanded to characterize, analyze, simulate and even predict performance of other similar rubberlike materials by applying suitable constitutive models in future.