Numerical Modeling with the SFR Model of a Hyperelastic Behavior within Problems Involving Contact


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Abstract


An enhanced axi-symmetric finite element approach using a Mooney-Rivlin hyperelastic constitutive model is presented. Starting with a classical quadrilateral four-node element, a kinematical concept of fiber rotation in 3D space is introduced for improving the element’s accuracy. This concept, called SFR “Space Fiber Rotation” introduces adding rotational dofs without increasing the number of nodes. I order to take into account of the material incompressibility, during the plastic forming processes; a hyperelastic Mooney Rivlin model with a penalty technique due to Crisfield is used. Applications are essentially focused on axi-symmetric problems involving contact between solids. Results of the present SFR model perform well, with improving in all cases the computational time (CPU) especially when it’s compared to the expensive 8-node quadratic element.
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Keywords


Finite Element; Hyperelastic; Mooney-Rivlin; Plastic Forming Process; SFR Concept

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