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A novel finite element formulation based on the incremental equilibrium equation (IEE) in conjunction with the rezoning technique is proposed. The IEE used in this study can be derived from the virtual work equation in rate form. Due to the IEE, the equilibrium between the nodal internal force and the nodal external force after a rezoning is automatically satisfied; thus, it is not necessary to solve the equilibrium again before starting the next time increment. Through some examples of large deformation analysis with the rezoning method, it is confirmed that the proposed method is enough accurate and stable.

A NOVEL FINITE ELEMENT FORMULATION FOR LARGE DEFORMATION ANALYSIS BASED ON INCREMENTAL EQUILIBRIUM EQUATION IN CONJUNCTION WITH REZONING TECHNIQUE