In this paper, we present a unified approach for numerical simulation of thermoforming process. In contrast with iterative methods and dynamic explicit scheme, we propose a high order explicit algorithm based on the classical 4th order Runge-Kutta scheme. The proposed procedure is used to solve the global equilibrium equations and to integrate the sheet viscoelastic constitutive model. The error and time step size control is performed at each level which increase the procedure robustness and efficiency.
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