A GENERALIZED CLOSEST‐POINT‐PROJECTION METHOD FOR DEFORMATION‐NEUTRALIZED FORMULATION IN FINITE STRAIN PLASTICITY

An implicit type algorithm for the integration of hypoelastic constitutive equations is proposed for large strain and large rotation conditions. Constitutive relations are derived in a deformation‐neutralized form. This provides the basis for integration in time resulting in an incremental tensor relation. Proposed algorithm can be considered as a generalization of the closest‐point‐projection method in the sense that the projection property applies to a ‘midstep’ rather than the final stress state. Hill's yield criterion under plane stress conditions suitable for metal‐forming applications is used in presented benchmark problems. Numerical results are discussed illustrating the accuracy of the algorithm for different values of the midstep parameter.