Updated Lagrangian Approach of Stress Rate and Finite Element Formulations of the Hyperelastic Body

In this paper, we propose updated Lagrangian formulation of hyperelastic body, which has been formulated by total Lagrangian approach, and confirm the accuracy and stability of developed finite element analysis code. The referenced configuration of proposed hyperelastic constitutive equation consists with the configuration of elasto-plasticity for finite deformation by applying updated Lagrangian approach. So, both of constitutive equations can be treated simultaneously in analysis. Numerical results by updated Lagrangian formulation show higher stability under large deformation.