Dynamic‐explicit elastic plastic finite‐element simulation of hemispherical punch‐drawing of sheet metal

Describes the development of a dynamic‐explicit finite‐element simulation code based on anisotropic elastic‐plastic theory and non‐linear contact friction theory. Points out that whereas in industrial production the dynamic‐explicit finite‐element code has proved to be an efficient and robust tool for sheet metal forming, in the automobile industry sheet metal forming is usually a quasi‐static process; therefore seeks to make clear the dynamics of deformation and strain and to evaluate mass scaling, damping scaling and material viscosity scaling parameters. Introduces the penalty method and the kinematic description method as means to derive a rate‐type contact force formulation employing the four‐node degenerated shell finite element. Also introduces the jewely patch scheme to describe the tool geometry. Analyses the hemispherical punch deep‐drawing of a square plate and compares this with the experimental results. Confirms the applicability of the newly developed finite‐element code to the quasi‐static forming process.